A population of rabbits is increasing at a rate of 1.5% per month. If there are 60 rabbits today, how many will there be after 10 months? Round to the nearest whole.

Answers

Answer 1

If population of rabbits is increasing at a rate of 1.5% per month, after 10 months, there will be approximately 71 rabbits in the population.

To solve this problem, we need to use the formula for exponential growth:

A = P(1 + r)ᵗ

where A is the final amount, P is the initial amount, r is the growth rate as a decimal, and t is the time period. In this case, we have P = 60, r = 0.015 (1.5% expressed as a decimal), and t = 10.

Plugging these values into the formula, we get:

A = 60(1 + 0.015)¹⁰

A ≈ 71

t's important to round to the nearest whole, so we can't be exact, but we know the answer will be somewhere between 70 and 72 rabbits.

Exponential growth is a model that assumes continuous growth over time, which may not be entirely accurate in real-world scenarios.

To learn more about Exponential growth click on,

https://brainly.com/question/12490064

#SPJ1


Related Questions

HELP ME PLEASE :DDDDDDDD

Answers

The expression to find the angle BGC is 11x + 34.

The equation that would help us find the angles of AGB and BGC is 90 = 11x + 46.

The correct equation that would help us find the angles of ABG, AGF, and AGE is 15x + 120 = 180.

What is a complementary angle?

In Mathematics and Geometry, a complementary angle refers to two (2) angles or arc whose sum is equal to 90 degrees (90°).

By substituting the given parameters into the complementary angle formula, the sum of the angles is given by;

∠AGB + ∠BGC = 90.

12 + 11x + 34 = 90

11x + 46 = 90

90 = 11x + 46.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of angles ABG, AGF, and AGE are supplementary angles:

12 + 90 + 15x + 18 = 180°

120 + 15x = 180°

15x + 120 = 180

Read more on supplementary angle here: brainly.com/question/13250148

#SPJ1

It’s similar figure with proportions

Answers

Answer:

x = 72 cm

Step-by-step explanation:

Because the two figures are similar, we can create a proportion between one set of similar sides (i.e., the side measuring 48 cm and the side measuring 6 cm) and another set (the side measuring x cm and the side measuring 9 cm.  This, will allow us to solve for x:

[tex]\frac{6}{48}=\frac{9}{x}\\ 432=6x\\ 72=x[/tex]

Another way to solve would have been to notice that the scale factor used to create the bigger puzzle piece is 8 since 6 * 48.  In order for the smaller figure to be considered similar to the larger, every side had to be multiplied by the same scale factor.  Since the scale factor is 6, x must be 72 cm as 9 * 8 = 72  

Help please!!!!
Whoever answers right gets brainliest!

Answers

The simplified form of given expression a³/a⁶b⁻¹ is b/a³.

Hence, the correct option is C.

Exponents are a shorthand notation used in mathematics to represent repeated multiplication of a number by itself. The exponent is a small number written to the right and above a base number, and indicates how many times the base should be multiplied by itself.

In the given expression, a³/a⁶b⁻¹

We can apply the rules of exponents, and we get

= a³⁻⁶/b⁻¹

= a⁻³/b⁻¹

= b/a³

Hence, the correct option is C.

To know more about expression here

https://brainly.com/question/5497425

#SPJ1

Ashley made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $29.20 . If the beads cost a total of $13.60 , how much did each pendant cost?

Answers

$3.90

29.20-13.60=15.6

15.6/4= 3.90

$3.90. Have a great day

On their farm, Adam’s family maintains a storage that can hold 14.3 cubic yards (yd3) of grain. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to m3. Round your answer to the nearest hundredth. Do not type the units in the space below.​

Answers

The storage can hold approximately 10.94 cubic meters of grain.

Unit conversion:

Unit conversion is the process of converting a quantity expressed in one set of units to an equivalent quantity expressed in another set of units. For example, converting a length from feet to meters, or converting a temperature from Celsius to Fahrenheit.  

To convert cubic yards to cubic meters, multiply the given volume in cubic yards by this conversion factor to obtain the equivalent volume in cubic meters.  

Here we have

Adam’s family maintains storage that can hold 14.3 yd³ of grain.

Given that 1 yard is approximately equal to 0.9144 meters

To convert cubic yards (yd³) to cubic meters (m³),

Use the conversion factor:

1 yd³ = (0.9144 m)³

So, we can convert 14.3 cubic yards of grain to cubic meters as follows:

14.3 yd³ x (0.9144 m/yd)³ ≈ 10.94 m³

Rounding this answer to the nearest hundredth gives us:

10.94 m³ rounded to the nearest hundredth = 10.94 m³

Therefore,

The storage can hold approximately 10.94 cubic meters of grain.

Learn more about Unit conversion at

https://brainly.com/question/24251732

#SPJ9

9. Economists in the country of Flatland, a closed economy, have collected the following information about their economy for a particular year: Y=15,000; C=9,000; T=3,000; G=3,600. The economists also estimate that the investment function is I=3,900-100r, where r is the country’s real interest rate, expressed as a percentage.

Calculate private saving, public saving, national saving, investment, and the equilibrium real interest rate. Does the government of Flatland have a budget surplus or budget deficit?

Answers

Answer:

Private saving (Sprivate) is equal to disposable income minus consumption:

Sprivate = Y - T - C = 15,000 - 3,000 - 9,000 = 3,000

Public saving (Spublic) is equal to government revenue minus government spending:

Spublic = T - G = 3,000 - 3,600 = -600

National saving (S) is equal to the sum of private and public saving:

S = Sprivate + Spublic = 3,000 - 600 = 2,400

Investment (I) is given by the investment function:

I = 3,900 - 100r

Equating investment to national saving gives:

I = S

3,900 - 100r = 2,400

Solving for r:

r = 15%

Therefore, the equilibrium real interest rate is 15%.

Substituting r = 15% into the investment function gives:

I = 2,400

Therefore, investment is 2,400.

Finally, to determine if the government has a budget surplus or deficit, we need to calculate the government's budget balance, which is equal to government revenue minus government spending:

Budget balance = T - G = 3,000 - 3,600 = -600

Since the budget balance is negative, the government of Flatland has a budget deficit.

Help me please I got an exam tomorrow

Answers

Answer:

Domain(-infinity,infinity) Range(-infinity,infinity) Zeros(0,0), (-4,0), (8,0) and (4,0) y-intercept at 0, even, y-axis, 2, -4

Step-by-step explanation:

qwtq4rg

Confusing
Kerrin is making an input-output table for the rule "add 5." What is the output value for an input value of 5?

Options:
A: 0
B :5
C: 10
D: 25

Answers

The calculated output value for an input value of 5 is (c) 10

What is the output value for an input value of 5?

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

Kerrin is making an input-output table for the rule "add 5."

This means that

Output = input + 5

In this case, we have

input = 5

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

Output = 5 + 5

Evaluate

Output =10

Hence, the output is 10

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

Y= 1/2x+5
X _ Y
-4. ?
-2. ?
0. ?
2. ?

Answers

Answer: 0.

Step-by-step explanation:

        y-(1/2*x+5)=0 STEP 1:              

simplify 1/2

                 

Equation at the end of step 1:         1        

 y -  ((— • x) +  5)  = 0

DISCUSSION QUESTIONS 1. Ongoing efforts have been undertaken in Malaysia to improve the financial reporting and accountability in government agencies. Discuss the efforts. 2. Discuss the extent of application for the key accounting concepts in the public sector. 3. Clearly describe the regulatory framework and procedures for financial reporting in the public sector.​

Answers

Answer:

1.Ongoing efforts have been undertaken in Malaysia to improve the financial reporting and accountability in government agencies. Discuss the efforts.

Malaysia has been making efforts to improve financial reporting and accountability in government agencies for several years. In 2015, the Malaysian government introduced a new financial reporting framework for government agencies called the Malaysian Public Sector Accounting Standards (MPSAS). This framework is designed to improve financial reporting and ensure that government agencies are held accountable for their financial performance.

The MPSAS framework is based on international accounting standards and is meant to increase transparency and consistency in financial reporting. It includes guidelines for budgeting, financial management, and reporting of financial performance. Additionally, the Malaysian government has established the Accountant General's Department, which is responsible for overseeing financial reporting in government agencies.

Other initiatives aimed at improving financial reporting and accountability in Malaysia include the implementation of electronic financial management systems, the introduction of new financial management guidelines, and the establishment of a Financial Management Committee to oversee financial management across all government agencies.

2.Discuss the extent of application for the key accounting concepts in the public sector.

The key accounting concepts that are applicable to the public sector are similar to those used in the private sector, with some important differences. One of the key differences is that in the public sector, accounting practices are focused on ensuring accountability to the public and ensuring that public funds are used responsibly.

Some of the key accounting concepts that are applicable in the public sector include accrual accounting, budgeting, and financial reporting. Accrual accounting is used to record financial transactions as they occur, regardless of when payment is made or received. This helps to ensure that all financial transactions are recorded accurately and transparently.

Budgeting is also an important accounting concept in the public sector. Governments typically create budgets to allocate funds to various programs and projects. These budgets are then used to monitor financial performance and ensure that resources are used efficiently.

Financial reporting is another key accounting concept in the public sector. Governments are required to report on their financial performance to ensure transparency and accountability. This includes reporting on revenue and expenses, assets and liabilities, and cash flow.

3.Clearly describe the regulatory framework and procedures for financial reporting in the public sector.

The regulatory framework for financial reporting in the public sector typically involves a combination of national and international accounting standards. In Malaysia, the regulatory framework is based on the Malaysian Public Sector Accounting Standards (MPSAS), which are based on international accounting standards.

Under this framework, government agencies are required to prepare financial statements in accordance with MPSAS. These statements include the statement of financial position, statement of financial performance, statement of changes in equity, and statement of cash flows.

Additionally, the Accountant General's Department is responsible for overseeing financial reporting in government agencies. They are responsible for ensuring compliance with MPSAS and for providing guidance on financial reporting issues.

Government agencies in Malaysia are required to submit their financial statements to the Accountant General's Department for review and approval. Once approved, these statements are published and made available to the public.

Overall, the regulatory framework and procedures for financial reporting in the public sector are designed to ensure transparency and accountability in the use of public funds.

Use the following formula to find the correct answers: FV = PV. (1+i)"

You just opened a savings account and deposited $300 at 3% that you plan on withdrawing in 15 years. How much money will you have by then?
O$677.23
O $746.93
$467.39
O $725.30

Answers

The savings amount balance in the account is $ 467.39

Given data ,

You just opened a savings account and deposited $300 at 3% that you plan on withdrawing in 15 years.

Using the formula FV = PV * (1 + i)^n, where FV is the future value, PV is the present value, i is the interest rate, and n is the number of periods, we can calculate the future value of the savings account after 15 years.

PV = $300 (the initial deposit)

i = 0.03 (the interest rate per period)

n = 15 years (the number of periods)

FV = $300 (1 + 0.03)^15

FV = $300 ( 1.5579 )

FV = $467.39

Hence , after 15 years, the savings account will have a balance of $ 467.39

To learn more about amortization click :

https://brainly.com/question/29643279

#SPJ1

Find the length of the third side. If necessary, round to the nearest tenth.
6 and 10

Answers

The length of the third side is 8units

What is Pythagoras theorem?

Pythagoras theorem states that : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

If a and b are the legs of the triangle and c is the hypotenuse,then

c² = a²+b²

For example , if a = 3 and b = 4 , then

c = √3²+4²

c = √ 9+16

c = √25

c = 5units.

Similarly, c = 10, a= 6, and b is unknown

therefore

10²= 6²+b²

b² = 10²-6²

b² = 100-36

b² = 64

b = √64

b = 8units

therefore the length of the third leg is 8units.

learn more about Pythagoras theorem from

https://brainly.com/question/343682

#SPJ1

7: An entrance examination for a job consists of 25% English, 30% Mathematics, 25% computer and 20% accounting, and the passing mark is 45. If an applicant sat for the examination and scored 60% in English, 35% in Mathematics, 80% in computer and 50% in Accounting, do you think she will be accepted?​

Answers

Answer: The overall score obtained is 55.5, which is higher than the passing mark of 45. Therefore, the applicant will be accepted.

Step-by-step explanation:To determine if the applicant will be accepted, we need to calculate their overall score based on the percentage weights and passing mark given for each subject.

The overall score can be calculated as follows:

Overall score = (0.25 x English score) + (0.3 x Math score) + (0.25 x Computer score) + (0.2 x Accounting score)

Substituting the given scores, we get:

Overall score = (0.25 x 60) + (0.3 x 35) + (0.25 x 80) + (0.2 x 50)

= 15 + 10.5 + 20 + 10

= 55.5

if there are 15 people from the bronx, brooklyn, manhattan queens and staten island and each borough has 3 people, if the people from each borough insist on standing together, how many possible ways are there to stand

Answers

There are 10,080 possible ways for the 15 people to stand if the people from each borough insist on standing together.

If there are 15 people from the Bronx, Brooklyn, Manhattan, Queens, and Staten Island, and each borough has 3 people, then there are 5 groups of 3 people. If the people from each borough insist on standing together, we can treat each group of 3 people as a single entity. So, we have 5 entities that need to be arranged.

The number of ways to arrange these 5 entities is 5!, which is equal to 120. However, within each group of 3 people, there are 3! ways to arrange the people. So, we need to multiply the number of ways to arrange the groups by the number of ways to arrange the people within each group. We will get the answer

5! × (3!)⁵ = 120 × 3⁵ = 10,080

To know more about possible ways here

https://brainly.com/question/1216161

#SPJ1

find the least common multiple of x^2-25 and x-5

Answers

To find the least common multiple of x^2-25 and x-5, we need to factor both expressions first.

x^2-25 can be factored as (x+5)(x-5)

x-5 is already factored.

Now, we can find the least common multiple by taking the product of the highest powers of each factor.

The highest power of (x+5) is 1, and the highest power of (x-5) is 2. Therefore, the least common multiple is:

(x+5)(x-5)^2

which can also be written as:

(x-5)(x^2-10x+25)

Answer: The least common multiple is (x−5) (x−5)

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

please helppp


here is the picture is about Row Ops

Answers

Multiplying row 1 of the matrix by  1 / 4 would give a resultant matrix of [ 1 / 2    0 | 3 / 4 ]

[ - 1     5   | 4 ].

How to multiply the matrix row ?

The question wants to multiply the first row of the matrix alone, with the fraction, 1 / 4.

First step is then to multiply the first row by the fraction of 1 / 4 :

( 1 / 4 ) x 2 = 1 / 2

( 1 / 4 ) x 0 = 0

( 1 / 4 ) x 3 = 3 / 4

The results acquired can then be input into the matrix which would then give a resultant matrix of :

[ 1 / 2   0 | 3 / 4 ]

[ - 1     5   |    4   ]

Find out more on matrices at https://brainly.com/question/28992335

#SPJ1

A circle is centered at (4, −7) and has a radius of 5. Which of the following is the equation of this circle?

Group of answer choices

(x − 4)2 + (x + 7)2 = 5

(x − 4)2 + (x + 7)2 = 25

(x + 4)2 + (x − 7)2 = 5

(x + 4)2 + (x − 7)2 = 25

Answers

The equation of circle whose center is at (4,-7) and radius is "5 units", is (b) (x − 4)² + (x + 7)² = 25.

We know that the equation of a circle which have center at the coordinate (h, k) and has a radius as "r" is represented by the formula ⇒ (x - h)² + (y - k)² = r²,

In this case, the center of the circle is situated at the coordinate (4, -7) and the radius is 5.

So, we substitute these values into the "circle-equation" to get;

⇒ (x - 4)² + (y + 7)² = 5²,

⇒ (x - 4)² + (y + 7)² = 25,

Therefore, the correct option is (b): (x − 4)² + (y + 7)² = 25.

Learn more about Circle here

https://brainly.com/question/17064049

#SPJ1

The given question is incomplete, the complete question is

A circle is centered at (4, −7) and has a radius of 5. Which of the following is the equation of this circle?

(a) (x − 4)² + (x + 7)² = 5,

(b) (x − 4)² + (x + 7)² = 25,

(c) (x + 4)² + (x − 7)² = 5,

(d) (x + 4)² + (x − 7)² = 25.

A farmer separated 7 hens from a group of chickens and placed them in a new coop If these 7 hens represent 20% of the total number of chickens the farmer owns, how many chickens does the farmer own?​

Answers

The total number of chickens the farmer owns is 35.

What is percentage?

A quantity or proportion can be expressed as a percentage of 100 by using the word "percentage." It is represented by the sign %.

For instance, when we state that 50 percent of a group of people are women, we mean that 50 out of every 100 people in the group are women.

We can deduce here the total chickens the farmer owns in % = 100%

Hens placed in a new coop = 20% = 7

Let the total number of chickens = x

Thus,

7 / x = 20 / 100

To solve for x, we can cross-multiply and simplify:

7 × 100 = 20 × x

700 = 20x

x = 35

Thus, the total number of chickens = 35.

Learn more about percentage on https://brainly.com/question/24877689

#SPJ1

Question 7 of 10
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
A. x = 5, y = -2
B. More than 1 solution
O C. No solution
OD. x= -2, y = 5
y+ x = 3
y-2x = -12

Answers

The solution to the system of equations shown above include the following: A. x = 5, y = -2

How to graphically solve this system of equations?

In order to graphically determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;

y + x = 3            ......equation 1.

y - 2x = -12       ......equation 2.

Based on the graph shown (see attachment), we can logically deduce that the solution for this system of linear equations is the point of intersection of each lines on the graph that represents them, which is represented by this ordered pair [5, -2].

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

Rebecca used 4.25pt of milk in her baking recipe. How many cups of milk did she use?

Answers

Answer: 8.25

Step-by-step explanation:

Seven undergraduate students tagged A, B, C, D, E, F & G are to be allocated seven bed spaces in a hall in the University’s hostel. Student A doesnot want a bed next to student B because he is aware that student B snores. In how many ways can the bed spaces be allocated to them if the concern of student A is to be honoured?​

Answers

By permutation and combination we can say there are 25200 ways to allocate the bed

What exactly are permanence and combination?

Mathematical concepts like permutation and combination count the number of possible arrangements or choices for an object.

The quantity of possible arrangements of objects in a given order is referred to as a permutation.

Combination refers to the variety of possible selections of objects that are made without respect to their sequence.

The number of ways to distribute the seven students' beds in a way that ensures student A doesn't share a bed with student B is equal to the number of ways to distribute the six students' beds in a way that ensures student A doesn't share a bed with student B multiplied by two. (since there are two possible positions for student B).

The following formula can be used to determine how many options there are to distribute the six available beds among the students so that Student A does not have a bed next to Student B:

In this instance, seven students with the identifiers A, B, C, D, E, F, and G will each receive seven bed places in a dormitory at the university. Because he is aware that student B snores, student A does not want to share a bed with him. As a result, we can group students A and B together and arrange them in six different ways.

Then we can arrange the remaining students C, D, E, F and G in 5! ways. Therefore, the total number of ways to allocate bed spaces to them if the concern of student A is to be honored is 6! * 5! = 17,280 .

the bed spaces to seven students such that student A does not get a bed next to student B

To know more about permutation combination visit:

brainly.com/question/13387529

#SPJ1

Cheryl and her sister Diane walk to school along the same route. Cheryl walks at an average of
80 steps per min while Diane walks at an average of 90 steps per min. Cheryl takes steps
of 81 cm each. She takes 12 min to walk to school.
A) If each of Diane's steps in 72 cm, how long does Diane take to walk to school?

Answers

Answer: Let's first convert Cheryl's walking speed to meters per minute. Since she takes 80 steps per minute and each step is 81 cm, her walking speed is:

80 steps/min x 81 cm/step = 6480 cm/min

To convert this to meters per minute, we can divide by 100:

6480 cm/min ÷ 100 cm/m = 64.8 m/min

Now, let's find out the distance Cheryl walks to school. Since she walks for 12 minutes at a speed of 64.8 m/min, the distance she covers is:

distance = speed x time = 64.8 m/min x 12 min = 777.6 m

Next, let's find out how many steps Diane takes per minute on average:

90 steps/min

Since each of Diane's steps is 72 cm long, her walking speed is:

90 steps/min x 72 cm/step = 6480 cm/min

To convert this to meters per minute, we can divide by 100:

6480 cm/min ÷ 100 cm/m = 64.8 m/min

So Diane's walking speed is the same as Cheryl's. To find out how long it takes Diane to walk to school, we can use the formula:

distance = speed x time

Since Diane and Cheryl walked the same distance, we can use the distance we found for Cheryl:

777.6 m = 64.8 m/min x time

Simplifying this equation, we get:

time = 12 minutes

Therefore, Diane takes 12 minutes to walk to school.

Answer:

  12 min

Step-by-step explanation:

You want to know how long it takes Diane to walk to school if she takes 90 steps of 72 cm per minute, while Cherly takes 80 steps of 81 cm per minute and traverses the distance in 12 minutes.

Speed

The speed of each girl is the product of the number of steps per minute and the length of the step:

  Cheryl: (80 step/min)(81 cm) = 6480 cm/min

  Diane: (90 step/min)(72 cm) = 6480 cm/min

Both girls travel at the same speed, so will take the same amount of time to get to school. It takes Diane 12 minutes to walk to school.

Determine whether y=9(-5)^x represents an exponential function

Answers

Answer: Yes, y = 9(-5)^x represents an exponential function.

An exponential function is a function in the form y = ab^x, where a and b are constants and b is a positive real number not equal to 1. The base, b, is raised to the power of x, and the resulting value is multiplied by the constant a.

In the given function, we have a = 9 and b = -5. Although b is negative, it is still a real number not equal to 1, so the function is still considered exponential. Furthermore, the exponent x is a variable, which is raised to a constant base -5, meeting the definition of an exponential function.

Therefore, y = 9(-5)^x is an exponential function.

Step-by-step explanation:

Pleasee help me I donk know what is the answer for the white space

Answers

The row operation performed to obtain  [0    0     -3     9] is R₃ - R₂.

What is row operation in matrix?

A row operation in a matrix involves making a change to one or more rows of the matrix. The three elementary row operations are, interchanging rows, rows addition, and rows multiplication.

The given matrix;

[9  -2  -9  9]            [9  -2  -9  9]

[1   2  -6   -1]  into   [1   2  -6   -1]

[1  2  -9    8]            [0  0  -3    9]

If we perform R₃ - R₂, that is row 3 minus row 2, we will have the following;

[1  2  -9    8] - [1   2  -6   -1]

= [(1-1)  (2-2)   (-9 + 6)   (8 + 1)]

= [0    0     -3     9]

Learn more about row operation here: brainly.com/question/17490035

#SPJ1

What is 6+4 3/4+(-2.5)= explain your answer

Answers

The value of 6+4 3/4 +(-2.5) is 3 3/10

What is PEDMAS?

PEDMAS is an acronym that shows the correct order of operations in mathematical problems. The full meaning of PEDMAS is ;

Parentheses

Exponents

Division

Multiplication

Addition

Subtraction

This order is followed when solving mathematical problems.

Solving 6+4 3/4 +(-2.5)

= 6+ 19/4 - 5/2

= ( 24+19-10)/4

= 33/10

= 3 3/10

Therefore the value of 6+4 3/4 +(-2.5) is 3 3/10

learn more about PEDMAS from

https://brainly.com/question/11421179

#SPJ1

Mr Tan calculated the average amount of money collected by all the students in his class during a fund-raising event. If three of his students each collected $32 less, the average amount of money collected would be $146. If eight of his students each collected $18 more, the average amount of money collected would be $156. How many students were there in Mr Tan's class?​

Answers

There were 56 students in Mr Tan's class.

To solve this problem, we can use the formula for average: average = (sum of all values) / (number of values). Let's assume that there were initially n students in Mr Tan's class, and the average amount collected was x. Then, we can write:

nx = sum of all amounts collected

Now, if three students each collected $32 less, the new sum of amounts collected would be:

(nx - 3*32) = (n-3)(x-32)

And the new average would be:

(n-3)(x-32) / n = 146

Similarly, if eight students each collected $18 more, the new sum of amounts collected would be:

(nx + 8*18) = (n+8)(x+18)

And the new average would be:

(n+8)(x+18) / n = 156

Now we have two equations with two unknowns (n and x). We can solve them using algebraic manipulation. After some simplification, we get:

n = 56 and x = 104

To learn more about : Mr Tan's

https://brainly.com/question/29082921

#SPJ11

10. The time it takes to drain a swimming pool varies inversely with the amount of water being
pumped per hour. If a large pool takes 12 hours to empty at 400 gallons an hour, how many
hours faster can the pool be drained if the pumping rate is increased to 500 gallons per hour?
(teal)

Answers

To solve this problem, we can use the formula for inverse variation, which is:

time = k/ rate

where k is a constant of proportionality.

We can start by finding the value of k using the given information. We know that when the pumping rate is 400 gallons per hour, it takes 12 hours to drain the pool. Therefore:

12 = k/400

Multiplying both sides by 400 gives us:

k = 4800

Now we can use this value of k to answer the second part of the question. We want to know how many hours faster the pool can be drained if the pumping rate is increased to 500 gallons per hour. Let's call this new time t:

t = 4800/500

t = 9.6 hours

So the pool can be drained 12 - 9.6 = 2.4 hours faster if the pumping rate is increased to 500 gallons per hour.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Using the sine ratio, the value of x in the right triangle shown is calculated to the nearest tenth as: 2.6  units.

How to Find the Value of x Using the Sine Ratio?

The sine ratio is part of the trigonometry ratios that can be applied to solve a right triangle, and it is written as:

sin ∅ = length of the opposite side / length of the hypotenuse of the right triangle

We are given the following information from the image above:

Reference angle (∅) = 75 degrees

length of the opposite side = x

length of the hypotenuse = 9

Plug in the values:

sin 75 = x/9

9 * sin 75 = x

x = 8.7 [to the nearest tenth]

Learn more about the sine ratio on:

https://brainly.com/question/2920412

#SPJ1

This is for precalc can someone help please

Answers


I really couldn’t find the answer I hope this helps

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

Answer:

23098376=890754730.0%

Other Questions
Lucys dog weighs nine and seventy-five hundredths kilograms. what is the weight, in kilograms, of lucys dog written in expanded notation? What does the word Occult mean in the book the lost symbol? geological evidence based on several radiometric techniques has provided a scientifically well-accepted age for the earth. represent that age of the earth as the 100-yard length of a football field, and any time interval can be represented as some distance on the field. (so something that lasted one-tenth of the age of the earth would be ten yards, and something that lasted one-half of the age of the earth would be fifty yards.) on this scale, how far on the football field would represent the time between the first appearance of abundant shelly creatures and today? The model q(t) = 2. 5.00E+00. 0168t predicts the world population, in billions, t years after 1955. What was the population of the world in 1955 basedon this model? what value of x is y/za-13b-77c-103d-154 In an effort to encourage Melissa to do well in school, her parents have decided to give her $20 for every "A" she receives on her report card. Melissa's parents are using(A) negative punishment(B) negative reinforcement(C positive reinforcement(D)positive punishment A chunk of zinc reacts with hydrochloric acid. If the chunk of zinc was turned into powdered zinc, what would happen to the reaction A boat's propeller has a rotational inertia of 4. 0 kg m. After a constant torque is applied for 12 s, theradradpropeller's angular speed changes from a clockwise 6. 0 to a counterclockwise 6. 0SSWhat was the torque applied to the propeller? Did you notice any trends between temperature and weather conditions in mark's data? were certain types of weather associated with higher or lower temperatures? Mr. Robinson noticed that there was a dent on his car. He sees his next-door neighbor outside throwing the baseball with his son. Mr. Robinson knows for certain that dent was not there before. He walks over to his neighbor and demands he pay for the damages but his neighbor refuses. 15. A. Identify what type of law is being handled in this situation and explain why15. B. Explain whether Mr. Robinsons neighbor will be responsible for the damages or not and why Complete the sentences with the correct terms. Some terms may be used more than once, and some may not be used at all. You are currently in a labeling module. Turn off browse mode or quick nav, Tab to items, Space or Enter to pick up, Tab to move, Space or Enter to drop. The Fed controls the money supply through open market operations. For instance, when the Fed buys bonds, this in demand for bonds causes nominal interest rates to. When the Fed buys bonds, bank reserves , which reduces the need for banks to borrow. This causes the federal funds rate to. Answer Bank Is COKWE a dying language? 2. What change did Governor Huckabee bring to Arkansas? (1 point)O He created a state medical insurance plan for children and families.O He developed a plan for breaking apart the public school system.O He introduced legislation to regulate big business.He proposed a plan for funding community colleges. Gamers magazine has a circulation of 50,000 and a pass-along rate of 4. 5. What is the reach of an advertisement run in gamers magazine? After a meal, glucose is absorbed from the small intestine, starting the following process. 1. Blood glucose concentration increases. 2. The pancreas responds, secreting insulin into the bloodstream. 3. Insulin causes the liver to convert glucose to glycogen, reducing blood glucose. 4. The pancreas stops secreting insulin. 5. Low levels of glucose cause glucagon to be released. 6. Glucagon causes the liver to break down some of its stored glycogen to glucose, increasing blood glucose. The graph below shows these changes over a 9-hour period. At point A on the graph, Select is turning into Select Herbie Bittman, age 17, executed a contact for the purchase of a pleasure car from a used car dealer or $2000. When Herbie changed his mind and attempted to return the car three months later the sales manager, Sam Dichter, said, "The contract is legally valid and all sales are final. I am not taking the car back. " Herbie, who has not turned 18, come to you for advice. Was Dichter's statement legally correct? Why or why not? En qu situacin podra emplearse el refrn no por mucho madrugar, amanece ms temprano Flag Review the video: "The Fifth Discipline in Three Minutes" located on You tube Peter Senge, Author of the book "Fifth Discipline" said, "When I look at effort to create change in big companies over the past ten years, I have to say there is enough evidence of success to say that change is possible - and enough evidence of failure to say that it isnt likely." Please discuss your view of the rigors of organizational change and strategies for leading change. Based on that understanding, identify three imperatives for leaders who want to be successful change agents. Please strengthen your claims using supporting citations. 2. Before we (take) Tim to the theater yesterday, he never (see) a stage playbefore. 3. He (learn) since seven o'clock. It's time he (stop) to have a rest. 4. Jane (not know) they (change) their plan. She (not tell) by anyone. 5. Bill (phone) his girl friend now. That's the third time he (phone) her thismorning. 6. I (lend) you my cassette player whenever you want it. 7. When I (finish) this book, I (lend) you. 8. By the time you (come) back, I (finish) all the housework. 9. When I (buy) a new house, I (ask) for a telephone. The post office (tell)me to wait, but I (wait) for a year now and my phone (not come) yet. 10. We (still do) our homework now. After finishing it, we (clean) the house. 11. He (get) off the train and (go) straight home. But he soon (realize) he(leave) his umbrella on the train. 12. My brother (decide) that he (buy) a car next year. 13. Mrs. Huong (be) a teacher of English for 27 years. She first (start)teaching English at a small school. After she (teach) there for ten years, herfamily (move) to a big city. Since then she (be) a teacher at a big school there. 14. I'd rather you (not smoke) in here. the book value of a firm's equity is $100 million and it's market value of equity is $157 million. the face value of it's debt is $52 million and it's market value of debt is $74 million. what is the weight of equity that should be used in the wacc equation?