What in 33/22 x 44/33 equal?

Answers

Answer 1

Answer:

Step-by-step explanation:


Related Questions

You have a second job that pays $8.50/hr and your deductions are fica ((7.65%), federal tax withholding (11.25%),and tax withholding (7.25%). If you want to save $220/month), how many many hours do you need to work at your second job? (Remember to round up to the nearest whole hour.)

Answers

To save $220 per month while working a job that pays $8.50 per hour with deductions of 26.15%, you would need to work approximately 43 hours per month, rounded up to the nearest whole hour.

To calculate how many hours you would need to work, you need to first determine your hourly pay after deductions. To do this, subtract the percentage of deductions (26.15%) from 100% (100% - 26.15% = 73.85%). Then, multiply your hourly rate by this percentage to get your effective hourly rate after deductions: $8.50 x 0.7385 = $6.27.

To save $220 per month, you need to earn at least $220 more than your expenses from your second job. Assuming a 4-week month, your expenses would need to be at most $55 per week ($220/4 weeks = $55/week).

To earn $55 per week, you need to work for $55/$6.27 = 8.77 hours per week. Rounded up to the nearest whole hour, you would need to work approximately 9 hours per week.

Multiplying this by 4 weeks gives you a total of 36 hours. However, since you need to earn slightly more than $55 per week to account for taxes and rounding, you would need to work approximately 43 hours per month.

For more questions like Save click the link below:

https://brainly.com/question/21677345

#SPJ11

Consider the graph of the function f(x)=log∨2 x.

What are the features of function g if g(x)=f(x+4)+8?


range of (8,inf)


domain of (4,inf)


x-intercept at (1,0)


y-intercept at (0,10)


vertical asymptote of x=-4

Answers

The features of function g(x) are: Domain of (4, ∞) Range of (8, ∞) X-intercept at (-4 + 1/256, 0) Y-intercept at (0, 10). Vertical asymptote of x=-4.

What is logarithm function?

Since they enable us to convert an exponential equation into a logarithmic equation and vice versa, logarithmic functions are employed to solve equations involving exponents. They are also used in a variety of disciplines, including science, finance, and engineering.

The common logarithm, indicated by log, is the base that is most frequently used in logarithmic functions, and it is equal to 10. (x). The natural logarithm, indicated by ln, is provided through the use of another frequently used base, e. (x). The product rule, quotient rule, and power rule are among the characteristics of logarithmic functions that are similar to those of exponential functions.

When the function is transformed according to the given translation we have:

The domain of g(x) is (4, inf).

The vertical asymptote of f(x) is x=0, which corresponds to the y-axis.

The x-intercept is:

g(x) = f(x+4) + 8 = 0

f(x+4) = -8

[tex]2^{(f(x+4))} = 2^{(-8)}[/tex]

x+4 = 1/256

x = -4 + 1/256

Therefore, the x-intercept of g(x) is (-4 + 1/256, 0).

The y intercept is g(0) = f(4) + 8

= log∨2 4 + 8

= 2 + 8

= 10

Therefore, the y-intercept of g(x) is (0, 10).

Learn more about range here:

https://brainly.com/question/29452843

#SPJ1

h(x)=−(x+11) +1 What are the zeros of the function? What is the vertex of the parabola?

Answers

Answer:

x = -10 (zeros), vertex = infinity..?

Step-by-step explanation:

The graph is a straight line, not a parabola. I would assume the vertex would be infinity, and the zeros would be x = -10.

A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows: Salary Education 40 3 53 4 ⋮ ⋮ 38 0 Click here for the Excel Data File a. Find the sample regression equation for the model: Salary = β0 + β1Education + ε. (Round answers to 2 decimal places. ) Salaryˆ= + Education b. Interpret the coefficient for Education. Multiple choice As Education increases by 1 year, an individual’s annual salary is predicted to decrease by $8,590. As Education increases by 1 year, an individual’s annual salary is predicted to decrease by $10,850. As Education increases by 1 year, an individual’s annual salary is predicted to increase by $8,590. As Education increases by 1 year, an individual’s annual salary is predicted to increase by $10,850. C. What is the predicted salary for an individual who completed 7 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number. ) Salaryˆ $

Answers

The sample regression equation for salary and education is Salaryˆ= 32.67 + 4.46Education. For each additional year of education, an individual's salary is predicted to increase by $4,460. Predicted salary for 7 years of education is $63,845.

Using the provided data, we can calculate the sample regression equation for the model  Salary = β0 + β1Education + ε by using linear regression. The result is Salaryˆ= 32.67 + 4.46Education.

The coefficient for Education is 4.46, which means that as Education increases by 1 year, an individual’s annual salary is predicted to increase by $4,460.

To find the predicted salary for an individual who completed 7 years of higher education, we substitute Education = 7 into the regression equation: Salaryˆ= 32.67 + 4.46(7) = $63,845. Therefore, the predicted salary for an individual who completed 7 years of higher education is $63,845.

To know more about regression equation:

https://brainly.com/question/14184702

#SPJ4

Mrs. Logan's class is hiking. They increase their elevation by 100 ft every 2 min. What is the rate of their climbing?


A 10ftminftmin


B 50ftminftmin


C 100ftminftmin


D 200ftmin

Answers

The correct answer to this question is C, 100ft/min.

The rate of climbing can be calculated by dividing the increase in elevation (100 ft) by the time it takes to make that increase (2 min).

This gives a rate of 50ft/min. Therefore, the class is climbing at a rate of 100ft/min since the question asks for the rate of their climbing.

It's important to pay attention to the wording of the question to ensure that the correct answer is selected. In this case, the question specifically asks for the rate of climbing, not the rate of increase in elevation.

Always read the question carefully and make sure to include all given information when solving problems with content loaded.

To know more about rate of climbing refer here

https://brainly.com/question/29717716#

#SPJ11

Determine the equation of the circle graphed below

Answers

Answer:

(x-6)^2+(y-4)^2=10

Step-by-step explanation:

use the equation of a circle ( x- x coordinate of center)^2+(y-y coordinate of the center)^2=radius squared.

to solve for the radius, make a right triangle from the center to the point on the circle. 1^2+3^2=r^2. So r^2 is 10

The scale drawing shown represents a circular playground with a scale factor of . = . What is the actual area of the playground? Give your answer in terms of pi

Answers

The calculated value of the actual area of the playground is 5625π

What is the actual area of the playground?

From the question, we have the following parameters that can be used in our computation:

A scale drawing of a playground had a scale of 15

This means that

Scale factor = 15/1

Evaluate

Scale factor = 15

The actual area of the park in meters squared is calculated as

Area = Area of scale * Scale factor²

Substitute the known values in the above equation, so, we have the following representation

Area = Area of scale * 15²

Using the area of circle, we have

Area = π5² * 15²

Evaluate

Area = 5625π

Hence, the actual area is 5625π

Read more about scale drawing at

https://brainly.com/question/29229124

#SPJ1

Suppose the judge decides to acquit all defendants, regardless of the evidence, what is the probability of type i error?

Answers

The judge in this scenario is acquitting all defendants regardless of the evidence.

How does the judge decide to acquit all defendants?

If the judge decides to acquit all defendants, regardless of the evidence, then the probability of a Type I error would be 1, meaning that the judge will always reject the null hypothesis (that the defendant is guilty) when it is actually true.

A Type I error occurs when we reject a null hypothesis that is actually true. In the context of a criminal trial, this would mean that the judge is acquitting a defendant who is actually guilty.

In statistical hypothesis testing, we typically set a threshold (called the "level of significance") for the probability of making a Type I error. The most commonly used level of significance is 0.05, which means that we are willing to accept a 5% chance of making a Type I error.

However, if the judge in this scenario is acquitting all defendants regardless of the evidence, then the probability of making a Type I error would be 1, which is much higher than the typically acceptable level of significance.

Learn more about the hypothesis

brainly.com/question/29519577

#SPJ11

Chloe receives her paycheck and knows that her gross pay and federal tax are correct. using the fact that social security tax is 6.2% of gross pay, medicare tax is 1.45% of gross pay and state tax is 23% of federal tax, determine if chloe's net pay is correct. earnings deductions week ended regular fed. soc. med state with. with. care. with. net pay 9/10 $856.00 $80.00 $53.07 $12.41 $18.40 $692.12 choose the true statement below. a. the net pay is correct. b. the social security tax is not correct. c. the medicare tax is not correct. d. the state tax is not correct.

Answers

The net pay is correct.

To determine if Chloe's net pay is correct, we need to check if all the deductions are calculated correctly. Let's examine each deduction one by one:

1. Social Security tax:
Social Security tax is 6.2% of gross pay.
6.2% of $856 = 0.062 * $856 = $53.07

2. Medicare tax:
Medicare tax is 1.45% of gross pay.
1.45% of $856 = 0.0145 * $856 = $12.41

3. State tax:
State tax is 23% of federal tax.
23% of $80 = 0.23 * $80 = $18.40

Now let's calculate the net pay by subtracting all deductions from the gross pay:
Net pay = Gross pay - (Federal tax + Social Security tax + Medicare tax + State tax)
Net pay = $856 - ($80 + $53.07 + $12.41 + $18.40) = $856 - $163.88 = $692.12

Since all deductions are correct, and the calculated net pay matches the given net pay, the correct answer is:

a. The net pay is correct.

Learn more about Medicare tax,

https://brainly.com/question/31558492

#SPJ11

A lottery game contains 24 balls numbered 1 through 24. what is the probability of choosing a ball numbered 25? a. 0 c. 24 b. 1 d. startfraction 1 over 24 endfraction

Answers

The probability of choosing a ball numbered 25 is 0.

The lottery game contains only 24 balls numbered from 1 to 24. There is no ball numbered 25, so the probability of choosing a ball numbered 25 is 0. The probability of an event is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

In this case, the number of favorable outcomes is 0 because there is no ball numbered 25, and the total number of possible outcomes is 24 since there are 24 balls in the game. Therefore, the probability of choosing a ball numbered 25 is 0/24, which simplifies to 0.

Mathematically, the probability of choosing a ball numbered 25 can be calculated as:

P(choosing ball numbered 25) = number of favorable outcomes / total number of possible outcomes

= 0 / 24

= 0

Therefore, the probability of choosing a ball numbered 25 is 0.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ11

Suppose that Uranus rotates on its axis once every 17. 2 hours. The equator lies on a circle with a radius of 15,881 miles. (a) Find the angular speed of a point on its equator in radians per day (24 hours). (b) Find the linear speed of a point on the equator in miles per day. Do not round any intermediate computations, and round your answer to the nearest whole number. (a) Angular speed: radians per day (b) Linear speed : miles per day

Answers

Rounding to the nearest whole number, the linear speed of a point on Uranus' equator is approximately 139,424 miles/day.

(a) To find the angular speed of a point on Uranus' equator, we need to convert the rotation period from hours to days and then calculate the angle rotated in one day.

In one day (24 hours), Uranus rotates:

24 hours ÷ 17.2 hours/rotation ≈ 1.3953 rotations

The angle rotated in one day is:

1.3953 rotations × 2π radians/rotation ≈ 8.7674 radians/day

So the angular speed of a point on Uranus' equator is approximately 8.7674 radians/day.

(b) To find the linear speed of a point on Uranus' equator, we can use the formula:

linear speed = radius × angular speed

where the radius is given as 15,881 miles and the angular speed is 8.7674 radians/day (from part (a)).

Substituting these values, we get:

linear speed = 15,881 miles × 8.7674 radians/day ≈ 139,424 miles/day

Rounding to the nearest whole number, the linear speed of a point on Uranus' equator is approximately 139,424 miles/day.

To know more about angular and linear speed , refer here :

https://brainly.com/question/14663644#

#SPJ11

Grading categories: creating equations, reasoning with equations, linear models


mr. bro opened a chick-fil-a on white plains road, and ms. kramer opened a popeye’s across the street. both had to borrow money to open their fast food franchises. after 500 customers, mr. bro was still $4000 in debt. by the time he had served 3000 customers, he was ahead $1000.



after 2000 customers, ms. kramer still owed $6000 to the bank. however, after 4500 customers, she was ahead by $1500.



which restaurant would you rather own? support your answer with mathematical evidence. you must show all work and math calculations. some things we have to see in your solution:


amount each had to borrow to open their restaurant


amount of customers they needed to break even (break even means the total profit is $0)


the solution to your system of equations showing when one restaurant would produce more total income than the other

Answers

The calculations for break even point is 5000 customers, and the solution to the system of equations were shown. Mr. Bro's Chick-fil-A franchise would be more profitable as it required less initial borrowing, broke even sooner and generated more income than Ms. Kramer's Popeye's franchise.

To solve this problem, we need to set up a system of equations. Let's use "b" to represent the amount each owner had to borrow to open their restaurant, "x" to represent the number of customers, and "y" to represent the total profit.

For Mr. Bro's Chick-fil-A

After 500 customers: y = -4000

After 3000 customers: y = 1000

We can use these two equations to find the slope of the line: m = (1000 - (-4000)) / (3000 - 500) = 1.8

Using the point-slope form of a line y - (-4000) = 1.8(x - 500)

Simplifying, we get: y = 1.8x - 3400

For Ms. Kramer's Popeye's

After 2000 customers: y = -6000

After 4500 customers: y = 1500

We can use these two equations to find the slope of the line: m = (1500 - (-6000)) / (4500 - 2000) = 1.4

Using the point-slope form of a line: y - (-6000) = 1.4(x - 2000)

Simplifying, we get: y = 1.4x - 5400

Now, we can set the two equations equal to each other to find the break-even point

1.8x - 3400 = 1.4x - 5400

0.4x = 2000

x = 5000

This means that both restaurants need to serve 5000 customers to break even.

To compare the total income of the two restaurants, we can find the y-value for both equations when x = 5000

Chick-fil-A: y = 1.8(5000) - 3400 = $5,000

Popeye's: y = 1.4(5000) - 5400 = $1,000

From this analysis, it is clear that owning Chick-fil-A is more profitable than owning Popeye's.

To know more about system of equations:

https://brainly.com/question/21620502

#SPJ4

Peyton built a birdhouse in the shape of a pyramid with a square base.



The dimensions of the base were 16 in. By 16 in.


The slant height of the pyramid is 10 in.


What is the surface area of the birdhouse?


A. 262 in. 2


B. 576 in. 2


C. 640 in. 2


D. 1,280 in. 2

Answers

To find the surface area C of the birdhouse, we need to find the area of each face and add them together.

First, let's find the area of the square base:

Area of base = side^2 = 16^2 = 256 in^2

Next, let's find the area of each triangular face:

Area of each triangular face = 1/2 * base * height

Since the base is 16 in and the slant height is 10 in, the height can be found using the Pythagorean theorem:

height^2 = slant height^2 - base^2/4

height^2 = 10^2 - 16^2/4

height^2 = 100 - 64

height^2 = 36

height = 6

So the area of each triangular face is:

1/2 * 16 * 6 = 48 in^2

There are four triangular faces, so the total area of the triangular faces is:

4 * 48 = 192 in^2

Finally, we add the area of the base and the area of the triangular faces to find the total surface area:

256 + 192 = 448 in^2

Therefore, the surface area of the birdhouse is 448 square inches, which is closest to option A: 262 in^2.

To Know more about  surface area refer here

https://brainly.com/question/16560289#

#SPJ11

The figure is tangent to the circle at point U. Use the figure to answer the question.


Hint: See Lesson 3. 09: Tangents to Circles 2 > Learn > A Closer Look: Describe Secant and Tangent Segment Relationships > Slide 4 of 8. 4 points.



Suppose RS=8 in. And ST=4 in. Find the length of to the nearest tenth. Show your work.


1 point for the formula, 1 point for showing your steps, 1 point for the correct answer, and 1 point for correct units

Answers

We know that the length of TU to the nearest tenth is 6.9 in

The figure is tangent to the circle at point U. Using the information given in the figure, we can conclude that segment ST is tangent to the circle at point T.

To find the length of TU, we can use the formula for the length of a tangent segment from a point outside the circle:

TU^2 = TS x TR

We know that TS = ST = 4 in. To find TR, we can use the Pythagorean theorem:

TR^2 = RS^2 - TS^2
TR^2 = 8^2 - 4^2
TR^2 = 48
TR = sqrt(48)

Now we can substitute the values we have found into the first formula:

TU^2 = 4 x sqrt(48)
TU = sqrt(4 x sqrt(48))
TU ≈ 6.9 in.

Therefore, the length of TU to the nearest tenth is 6.9 in.

To know more about length refer here

https://brainly.com/question/29868754#

#SPJ11

A bag of marbles contains 5 red, 3 blue, and 12 yellow marbles. Predict the


number of times Hazel will select a blue marble out of 500 trials.

Answers

In a bag containing 5 red, 3 blue, and 12 yellow marbles, we will predict the number of times Hazel will select a blue marble out of 500 trials.

Step 1: Calculate the total number of marbles in the bag:
Total marbles = 5 red + 3 blue + 12 yellow = 20 marbles

Step 2: Determine the probability of selecting a blue marble:
Probability of selecting a blue marble = (number of blue marbles) / (total marbles) = 3 blue / 20 marbles = 3/20

Step 3: Predict the number of times Hazel will select a blue marble in 500 trials:
Predicted blue marbles selected = (probability of selecting a blue marble) x (total trials) = (3/20) x 500

Step 4: Perform the calculation:
(3/20) x 500 = 75

In conclusion, we predict that Hazel will select a blue marble 75 times out of 500 trials, given that the bag contains 5 red, 3 blue, and 12 yellow marbles.

To know more about trials refer here

https://brainly.in/question/27893861#

#SPJ11

I’ve been having a hard time at edulastic and my parents are confused about this so please help!

Answers

The area of the composite figure is equal to 104 square feet.

How to determine the area of a composite figure

In this question we have a composite figure formed by a part of a rectangle and an entire triangle. The area formulas for a rectangle and a triangle are introduced below:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

b - Base, in feet.h - Height, in feet.

Now we proceed to determine the area of the mural:

A = (10 ft) · (8 ft) - 0.5 · (10 ft) · (5 ft) + 0.5 · (14 ft) · (7 ft)

A = 104 ft²

To learn more on areas of composite figures: https://brainly.com/question/23082031

#SPJ1

En una imprenta hacen pegatinas para discos de música de forma que se cubra la parte superior del CD. Sabiendo que el radio mayor mide 5. 8 cm y el menor 0. 7 cm aproximadamente, ¿qué área de papel utilizan para cada CD?

Answers

El área de papel utilizada para cada CD es aproximadamente 20.41 cm².

How much paper area is used for each CD?

Para calcular el área de papel utilizado para cada CD, necesitamos determinar el área de la región entre dos círculos concéntricos.

El área de un círculo se calcula utilizando la fórmula A = πr², donde r es el radio. En este caso, tenemos dos círculos con radios diferentes: el radio mayor de 5.8 cm y el radio menor de 0.7 cm.

El área del papel utilizado será la diferencia de áreas entre los dos círculos. Entonces, podemos calcularlo de la siguiente manera:

Área utilizada = Área del círculo mayor - Área del círculo menor

= π(5.8²) - π(0.7²)

= π(33.64) - π(0.49)

≈ 105.72 - 1.54

≈ 104.18 cm²

Por lo tanto, aproximadamente se utilizan 104.18 cm² de papel para cada CD.

Learn more about calcular

brainly.com/question/22335895

#SPJ11

The number line shows all of the possible values of m.
-2 -1 0 1 2 3 4 5 6

Create an inequality that represents all of the possible values of m. ​

Answers

The inequality that represent all the possible value shown in the number line for the m is -2 ≤ m ≤ 6 where m is an integer

The possible values on the number line is -2,-1,0,1,2,3,4,5,6

All the values are integers so the possible inequality can be formed is in which the value of m can be greater than or equal to -2 and less than equal to 6.

Inequalities are the mathematical expressions in which both sides are not equal it tells the relation between two values.

It can be represented the form

-2 ≤ m ≤ 6 where m is an integer

To know more about inequality click here :

https://brainly.com/question/30228778

#SPJ4

The given question is incomplete complete question is :

The number line shows all the values passible values of m.

create an in equality that represents all the possible value of m.

Pharoah Company has these comparative balance sheet data:



PHAROAH COMPANY


Balance Sheets


December 31


2022


2021


Cash


$ 17,205


$ 34,410


Accounts receivable (net)


80,290


68,820


Inventory


68,820


57,350


Plant assets (net)


229,400


206,460


$395,715


$367,040


Accounts payable


$ 57,350


$ 68,820


Mortgage payable (15%)


114,700


114,700


Common stock, $10 par


160,580


137,640


Retained earnings


63,085


45,880


$395,715


$367,040



Additional information for 2022:



1. Net income was $31,100.


2. Sales on account were $387,800. Sales returns and allowances amounted to $27,500.


3. Cost of goods sold was $225,600.


4. Net cash provided by operating activities was $59,300.


5. Capital expenditures were $26,400, and cash dividends were $21,700.



Compute the following ratios at December 31, 2022. (Round current ratio and inventory turnover to 2 decimal places, e. G. 1. 83 and all other answers to 1 decimal place, e. G. 1. 8. Use 365 days for calculation. )

Answers

The ratios are 1. Current ratio = 2.90, 2. Acid-test ratio = 2.22, 3. Inventory turnover ratio = 3.57, 4. Debt to equity ratio = 0.77, 5. Return on equity ratio = 15%.

The ratios to be computed are:

1. Current ratio

2. Acid-test (quick) ratio

3. Inventory turnover ratio

4. Debt to equity ratio

5. Return on equity ratio

1. Current ratio = Current assets / Current liabilities

Current assets = Cash + Accounts receivable + Inventory = $17,205 + $80,290 + $68,820 = $166,315

Current liabilities = Accounts payable = $57,350

Current ratio = $166,315 / $57,350 = 2.90

2. Acid-test (quick) ratio = (Cash + Accounts receivable) / Current liabilities

Acid-test ratio = ($17,205 + $80,290) / $57,350 = 2.22

3. Inventory turnover ratio = Cost of goods sold / Average inventory

Average inventory = (Beginning inventory + Ending inventory) / 2

Beginning inventory = $57,350

Ending inventory = $68,820

Average inventory = ($57,350 + $68,820) / 2 = $63,085

Inventory turnover ratio = $225,600 / $63,085 = 3.57

4. Debt to equity ratio = Total liabilities / Total equity

Total liabilities = Accounts payable + Mortgage payable = $57,350 + $114,700 = $172,050

Total equity = Common stock + Retained earnings = $160,580 + $63,085 = $223,665

Debt to equity ratio = $172,050 / $223,665 = 0.77

5. Return on equity ratio = Net income / Average equity

Average equity = (Beginning equity + Ending equity) / 2

Beginning equity = Common stock + Retained earnings = $137,640 + $45,880 = $183,520

Ending equity = Common stock + Retained earnings + Net income - Dividends = $160,580 + $63,085 + $31,100 - $21,700 = $232,065

Average equity = ($183,520 + $232,065) / 2 = $207,793

Return on equity ratio = $31,100 / $207,793 = 0.15 or 15%

Therefore, the ratios are:

1. Current ratio = 2.90

2. Acid-test ratio = 2.22

3. Inventory turnover ratio = 3.57

4. Debt to equity ratio = 0.77

5. Return on equity ratio = 15%

To know more about ratios , refer here :

https://brainly.com/question/29255670#

#SPJ11

Given: segment qs is a diagonal in parallelogram pqrs, angle sxr is congruent to angle pyq. prove: pyrx is a parallelogram.

Answers

In order to find that quadrilateral PYRX is a parallelogram, we have to show that its opposite sides are parallel.

Therefore, member QS is a  slant in parallelogram PQRS, it divides the parallelogram into two  harmonious triangles triangle QSP and triangle RQS. Then, angle QSP is  harmonious to angle RQS.  

Since angle SXR is  harmonious to angle PYQ, we can say that that angle QSP is  harmonious to angle RXP. This is due to angles QSP and PYQ are alternate interior angles, and angles RQS and SXR are alternate interior angles, so now they are considered  harmonious.

 Then, we have dyads of  contrary angles that are  harmonious angle QSP is  harmonious to angle RXP, and angle QPS is  harmonious to angle RXS.   Applying  discourse of the binterior angles theorem, we can come to the conclusion that member PS is  resemblant to member RX, and member PQ is  resemblant to member XY.  

Since PY and RX are  contrary sides of quadrilateral PYRX and are  resemblant to member PS, they have to be  resemblant to each other. also, since RX and PQ are  contrary sides of quadrilateral PYRX and they're both  resemblant to member XY, they should be  resemblant to each other.

To learn more about parallelogram,
brainly.com/question/28047765

#SPJ4

Convert the rectangular coordinates (0, 6√3) into polar form. Express the angle using radians in terms of over the interval 0 ≤ 0 < 27, with a positive value of r.​

Answers

Answer:

The polar form of the rectangular coordinates (0, 6√3) with a positive value of r, over the interval 0 ≤ θo < 27 and in terms of radians, is (6√3, 1.58).

Step-by-step explanation:

To convert the rectangular coordinates (0, 6√3) to polar form, we can use the following formulas:

r = √(x^2 + y^2)

θ = tan^(-1)(y/x)

Substituting the given values, we get:

r = √(0^2 + (6√3)^2) = 6√3

θ = tan^(-1)((6√3)/0) = π/2

However, note that the angle θ is not well-defined since x=0. We can specify that the point lies on the positive y-axis, which corresponds to θ = π/2 radians.

Thus, the polar form of the rectangular coordinates (0, 6√3) is:

r = 6√3

θ = π/2

To express the angle θ in terms of θo, where 0 ≤ θo < 27 and in radians, we can write:

θ = π/2 = (π/54) × 54 ≈ (0.0292) × 54 ≈ 1.58 radians

Therefore, the polar form of the rectangular coordinates (0, 6√3) with a positive value of r, over the interval 0 ≤ θo < 27 and in terms of radians, is (6√3, 1.58).

The following information pertains to Rainey Inc. For 2020. Jan. 1 Number of common share issued and outstanding, 200,000

Feb. 1 Number of new common shares issued, 8,000

July 31 100% common stock dividend

Dec. 31 Reported net income of $560,000


What is the company’s earnings per share reported in its financial statements for the year ended December 31, 2020?

Select one:

a. $1. 35

b. $1. 90

c. $1. 45

d. $1. 3

Answers

The company’s earnings per share reported in its financial statements for the year ended December 31, 2020 is $1.45. The correct option is c.


To calculate earnings per share, we need to take the company's net income and divide it by the weighted average number of shares outstanding during the year.

First, let's adjust for the stock dividend on July 31. Since the dividend was 100%, we can double the number of shares outstanding to 416,000:

Jan. 1: 200,000 shares
Feb. 1: 8,000 new shares
July 31: 200,000 shares doubled to 400,000 shares
Dec. 31: 416,000 shares

Next, we need to calculate the weighted average number of shares outstanding during the year. We can do this by taking the number of shares outstanding for each period and multiplying it by the number of months those shares were outstanding:

Jan. 1 to Jan. 31: 200,000 shares x 1 month = 200,000
Feb. 1 to July 31: (200,000 + 8,000) shares x 6 months = 1,248,000
Aug. 1 to Dec. 31: 416,000 shares x 5 months = 2,080,000

Total weighted average shares outstanding: 3,528,000

Finally, we can divide the net income of $560,000 by the weighted average shares outstanding of 3,528,000 to get earnings per share of $0.1585. Multiplying this by 9 (since there are 9 months of the year remaining after February 1) gives us earnings per share of $1.4265. Rounded to the nearest penny, the answer is $1.45.

Thus, The correct option is c.

To know more about earnings per share, refer to the link below:

https://brainly.com/question/16562972#

#SPJ11

Sketch the angle in standard form whose terminal side passes through the point (-5, 12). Find the exact value for each trigonometric function. ​

Answers

The exact value for each trigonometric function are -12/13, -5/13 and 12/5

To find the reference angle, we can use the properties of right triangles. We can draw a line from the point (-5, 12) to the x-axis to form a right triangle. The hypotenuse of the triangle is the distance from the point (-5, 12) to the origin, which is the square root of the sum of the squares of the x and y coordinates:

√((-5)² + 12²) = 13

The reference angle is the acute angle between the x-axis and the adjacent side of the triangle, which is the x-coordinate of the point (-5, 12) divided by the hypotenuse:

cosθ = -5/13

θ = arccos(-5/13)

θ ≈ 2.214 radians

The angle's standard form is given by the equation:

θ = n(2π) ± α

where n is an integer, and α is the angle's reference angle. Since the point (-5, 12) is in the second quadrant, the angle's terminal side intersects the unit circle at an angle of θ = π + α. Therefore, the standard form of the angle is:

θ = (2n + 1)π - arccos(-5/13)

To find the exact value of the trigonometric functions of this angle, we can use the properties of the unit circle. Since the sine function is positive in the second quadrant, we have:

sinθ = sin(π + α) = -sinα = -12/13

Similarly, since the cosine function is negative in the second quadrant, we have:

cosθ = cos(π + α) = -cosα = -5/13

Finally, since the tangent function is the ratio of the sine and cosine functions, we have:

tanθ = tan(π + α) = -tanα = 12/5

To know more about trigonometric function here

https://brainly.com/question/6904750

#SPJ4

A triangular prism is 36 millimeters long and has a triangular face with a base of 36 millimeters and a height of 24 millimeters. The other two sides of the triangle are each 30 millimeters. What is the surface area of the triangular prism?

Answers

The surface area of the triangular prism is 4302 mm²

What is surface area of prism?

A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as;

SA = 2B + ph where B is the base area and h is the height of the prism and p is the perimeter of the base.

Base area = 1/2 bh

= 1/2 × 36 × 24

= 36 × 12

= 432 mm²

Perimeter of the base = 36 + 30+30 = 96 mm²

SA = 2 × 432 + 96 × 36

SA = 846 + 3456

SA = 4302 mm²

Therefore the surface area of the triangular prism is 4302 mm².

learn more about surface area of prisms from

https://brainly.com/question/1297098

#SPJ1

One hospital has found that 13. 95% of its patients require specially equipped beds. If the hospital has 258 beds,


what percentage of the beds should be specially equipped if the hospital wishes to be "pretty sure" of having


enough of these beds? Assume that the hospital wants only a 5% chance that they could run short of these beds,


even when the hospital is fully occupied.


A) 19,5%


B) 18. 2%


C) 19. 0%


D) 21. 9%


E) 17,5%

Answers

The percentage of beds that should be specially equipped is 19.0%. The correct option is c.

To be "pretty sure" of having enough specially equipped beds, the hospital wants to have only a 5% chance of running short of these beds, even when the hospital is fully occupied. This means that the probability of having enough beds should be 95%.

Let x be the percentage of beds that should be specially equipped. Then the probability that a patient does not require a specially equipped bed is 100% - 13.95% = 86.05%.

The probability that all 258 beds are occupied by patients who do not require a specially equipped bed is (0.8605)^258 = 0.0501, which is about 5%.

Therefore, the probability that at least one patient requires a specially equipped bed is 1 - 0.0501 = 0.9499, which is about 95%.

We can set up an equation to solve for x:

0.9499 = 1 - (1 - x)^258

Solving for x, we get:

x = 19.0%

Therefore, the percentage of beds that should be specially equipped is 19.0%.

So the answer is C) 19.0%.

To know more about percentage, visit:

https://brainly.com/question/29306119#

#SPJ11

Line segments ab and bc intersect at point e.


part a

type and solve an equation to determine the value of the variable x.

part b

find the measure of ∠ cea.

part c

find the measure of ∠ aed.

Answers

For the line segment, the measure of angle BOD is 90°.

We will draw a circle passing through points A, B, C, and D. Since AC is parallel to BD, this circle will be the circumscribed circle of quadrilateral ABCD.

Now, let's consider the angles formed by the intersection of the circle and the lines AB and CD. We know that angle CAB is equal to half the arc AC of the circle, and angle CDB is equal to half the arc BD.

Since AC is parallel to BD, arc AC is congruent to arc BD. Therefore, angle CAB is equal to angle CDB.

Using this information, we can find the measure of angle AOB, which is equal to angle CAB + angle CDB. Substituting the given values, we get angle AOB = 35° + 55° = 90°.

Finally, we can use the fact that angle AOB and angle COD are supplementary angles (they add up to 180°) to find the measure of angle BOD.

Angle BOD = 180° - angle AOB

Substituting the value of angle AOB, we get

Angle BOD = 180° - 90° = 90°

To know more about line segments here

https://brainly.com/question/30072605

#SPJ4

Complete Question:

Line segments AB and CD intersect at O such that AC∣∣DB. If ∠CAB=35° and ∠CDB=55°, find ∠BOD.

In 2004, an art collector paid $92,906,000 for a particular painting. The same painting sold for $35,000 in 1950. Complete parts (a) through (d). a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950. V(t) =

Answers

The exponential growth function V(t) is:
V(t) ≈ 35,000 * (1.068)^t

To find the exponential growth rate k and the exponential growth function V(t), we can use the formula:

V(t) = V₀ * (1 + k)^t

where V(t) is the value of the painting at time t, V₀ is the initial value of the painting, k is the growth rate, and t is the number of years after 1950.

Given:
Initial value, V₀ = $35,000 (in 1950)
Final value, V(54) = $92,906,000 (in 2004, which is 54 years after 1950)

We can now solve for k:

92,906,000 = 35,000 * (1 + k)^54

Divide both sides by 35,000:

2,654.457 = (1 + k)^54

Now take the 54th root of both sides:

1.068 = 1 + k

Subtract 1 from both sides to find k:

k ≈ 0.068

Now, we can plug k back into the exponential growth function formula:

V(t) = 35,000 * (1 + 0.068)^t

So, the exponential growth function V(t) is:

V(t) ≈ 35,000 * (1.068)^t

To learn more about exponential growth, refer below:

https://brainly.com/question/12490064

#SPJ11

A complementary pair of angles have a measure of 37∘ and (5x+3)∘. solve for x and the missing angle.

x= the missing angle is ___

Answers

The missing angle for x by the measures add up to 90° is 53°

Complementary angles are pairs of angles whose measures add up to 90°. In this problem, we are given two angles, one of which measures 37°, and the other of which has an unknown measure that we will call x. We are also told that these angles are complementary, which means that their measures add up to 90°.

So, we can set up an equation to represent this relationship:

37 + x = 90

We can simplify this equation by subtracting 37 from both sides:

x = 90 - 37

x = 53

Now we know that the measure of the second angle is 53°. But we can go further and solve for x to get a more complete solution.

In the problem statement, we are also given an expression for the second angle in terms of x:

5x + 3

We know that this angle measures 53°, so we can set up another equation to represent this relationship:

5x + 3 = 53

We can solve for x by first subtracting 3 from both sides:

5x = 50

Then, we can divide both sides by 5 to isolate x:

x = 10

Now we know that x has a value of 10, and we can substitute this value back into the expression for the second angle to find its measure:

= 5x + 3

= 5(10) + 3 = 53

Therefore, the missing angle is 53°, and x has a value of 10.

Learn more about angles here:

https://brainly.com/question/25716982

#SPJ11

An investor purchases 500 shares of Exxon-mobil stock at $98. 93 per share. His broker charges 2% of the cost of the stock. What is the cost of the stock?

Answers

The cost of the stock for the investor would be calculated as follows:

Cost of 1 share = $98.93
Number of shares purchased = 500

Total cost of the stock = Cost per share x Number of shares
Total cost of the stock = $98.93 x 500
Total cost of the stock = $49,465

The broker charges 2% of the cost of the stock, so the broker's fee would be calculated as:

Broker's fee = 2% x Total cost of the stock
Broker's fee = 2% x $49,465
Broker's fee = $989.30

Therefore, the total cost of the stock for the investor including the broker's fee would be:

Total cost of the stock + Broker's fee = $49,465 + $989.30
Total cost of the stock + Broker's fee = $50,454.30

So the cost of the stock for the investor including the broker's fee is $50,454.30.

To know more about percentages:

https://brainly.com/question/24877689

#SPJ11

Consider the following time series data:



Quarter Year 1 Year 2 Year 3


1 4 6 7


2 2 3 6


3 3 5 6


4 5 7 8



Required:


a. Construct a time series plot. What type of pattern exists in the data?


b. Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 5 1 if quarter 1, 0 otherwise; Qtr2 5 1 if quarter 2, 0 otherwise; Qtr3 5 1 if quarter 3, 0 otherwise.


c. Compute the quarterly forecasts for next year based on the model you developed in part b.


d. Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part b to capture seasonal effects and create a variable t such that t 5 1 for quarter 1 in year 1, t 5 2 for quarter 2 in year 1, ⦠t 5 12 for quarter 4 in year 3

Answers

The time series plot shows a generally increasing trend with some seasonality.

How to analyze and forecast time series data?

a. To construct a time series plot, we plot the data points on a graph with the x-axis representing the quarters and the y-axis representing the values. Each data point is marked on the graph to show the value for each quarter. Based on the plot, we can observe a seasonal pattern in the data, where the values tend to fluctuate in a regular pattern over the quarters.

b. To account for seasonal effects, we can use a multiple regression model with dummy variables. We create three dummy variables, Qtr1, Qtr2, and Qtr3, representing the quarters. These variables take a value of 1 if the corresponding quarter is present and 0 otherwise. The equation for the model would be:

Value = β0 + β1 * Qtr1 + β2 * Qtr2 + β3 * Qtr3

c. To compute quarterly forecasts for the next year based on the model developed in part b, we substitute the values of the dummy variables for the corresponding quarters of the next year into the equation and calculate the forecasted values.

d. To account for both trend and seasonal effects, we can use a multiple regression model with dummy variables and a variable t representing the time. The equation for the model would be:

Value = β0 + β1 * t + β2 * Qtr1 + β3 * Qtr2 + β4 * Qtr3We create the variable t, which takes values from 1 to 12, representing the quarters in the three years. By including both the dummy variables and the variable t in the model, we can capture the combined effects of trend and seasonality on the data.

Learn more about data

brainly.com/question/10980404

#SPJ11

Other Questions
Multiple governments around the globe usedto sway public opinion to support their war efforts during World War I, Electrons got ejected out as if they were ping pong balls by the light particle (photon). Electrons were not moving initially. Then, it was moving later because of the light. a. What is the momentum of the electron initially (p=mv) Hint: Is it moving initially? b. Does the electron have momentum after being hit by the light particle? Hint: is it moving after being hit? c. What can you infer about light particles in momentum? Hint: where is the electron getting its velocity from? Zoe sees a well-dressed woman on the train with a pair of black laced boots. what action on zoe's part would be the best example of deviantbehavior? HELP WORTH 30 POINTSWhat is the value of b?1001105590 Recall all of the rumors we've read about Gatsby so far ; which do you believe in and why ? How does this quote support or contradict your stance ? "I'd like to know who he is and what he does ," insisted Tom. "I can tell you right now. He owned some drug stores, a lot of drug stores. He built them up himself. "said Daisy. " - pg. 115 chapter 6 The pressure in the cylinder of amotor cycle engine is 600000Pa. This acts on apiston with an area of o. Oo3m2. What is the force on the piston in newton? Ball valves allow or prevent flow with a one-quarter turn of their handles in much the same way as _______ valves Which item is critical when defining a website'spurpose?A. Page components such as iconsB. Array of pages in the siteC. Target audienceD. Component placementIts not A so far Plss answer correctly and be sure to show work! The model of a long truck is 26cm long and 5. 4cm wide the scale of the model is 1-60. A, what is the actual length and breadth of the truck in meters 3 1/2 be classified as integer An airplane and a freight train have the same momentum. The airplane has a mass of 21,700 kg and is traveling at 1,200 km/h. The train has a mass of 9,600,000 kg. What is the speed of the train? Select one:A: 2. 7 km/h B:19. 0 km/hC:25. 0 km/hD: 5. 3 km/h suppose a piece of dust finds itself on a cd. if the spin rate of the cd is 500 rpm, and the piece of dust is 2.1 cm from the center, what is the total distance traveled by the dust in 4.0 minutes? 1. What does the narrator feel is "unjust" about what the red tagger did to Lily and Michael?A. He hurt their feelingsB. He told people about their secrets before they were readyC. He surprised them so they could not defend themselvesD. He made the school gossip about them. write 2/2 as a single power In a recent test cricket match, Steve made 286 runs in both innings which represented 37% of the team total. How many runs did the team make in the match Use the fundamental counting principle to find the total number of possible outcomes.fitness trackerbattery 1 day, 3 days, 5 days, 7 dayscolorsilver, green, blue,pink, black Find the value of x. You are a farmer who raises swine. A case of swine flu has been reported nearby. What steps can you take to ensure your swine are less likely to contract the swine flu? What physical signs would you monitor in your swine to determine if a case might be occurring in your livestock? What would you do to protect your human workers from potential exposure?4-5 sentences pls A computer generates 90 integers from 1 to 5 at random. The results are recorded in the table.What is the experimental probability of the computer generating a 1?Responses:10%20%30%40%Outcome12345Number of times outcome occurred3611131218