The total is $24,947.06 plus $9,647.06 in compound interest.
Define compound interest?One way to earn or pay interest on interest is through compound interest. It denotes that interest will be charged on both the main amount and the accrued interest in the subsequent period. Savings or investments can expand over time with the aid of compound interest.
We can use the following formula to determine compound future value:
FV = P * (r/n + 1)(n*t)
where P is the principal, r is the yearly interest rate, n is the number of times interest is compounded annually, and t is the amount of time in years.
Your values have led us to:
FV = 15300 * (1 + 0.08/4)²⁴
FV = $24,947.06
The total is $24,947.06 plus $9,647.06 in interest.
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The figure below is a net for a triangular prism. What is the surface area of the triangular prism, in square meters?
The surface area of the triangular prism is given as follows:
S = 549.15 m².
How to calculate the surface area?The surface area of a prism is given by the sum of the areas of all the parts that compose the prism.
The prism for this problem is composed as follows:
Rectangle of dimensions 15 m and 13 m.Rectangle of dimensions 15 m and 15.81 m.Two right triangles of sides 9 m and 13 m.Hence the surface area is obtained as follows:
S = 15 x 13 + 15 x 15.81 + 2 x 0.5 x 9 x 13
S = 549.15 m².
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The triangular prism's surface area is given as follows:
S = 549.15 m².
The total area of all the prism's component components determines the prism's surface area.
The following is the structure of the prism for this issue:
rectangle with 15 and 13 meter sides.
rectangle with measurements of 15 and 15.81 meters.
two right triangles with 9 and 13 meter sides. So, the following is how the surface area is determined:
S is equal to 15 x 13 plus 15 x 15.81 and 2 x 0.5 x 9 x 13
S = 549.15 m².
Find the length of the missing side
Answer:
x = 45°
Because there are 180° in a triangle
What is deviance? Identify the term and provide an overview. Think of a time when you or a
friend used informal negative sanctions. To what act of deviance were you or your friend
responding? Did this reaction help maintain social control? Is it possible to function as a society
without the threat of physical violence to keep people under control? Why or why not?
Deviance is a term used in sociology to describe behavior that violates social norms or expectations. It refers to any behavior that is considered outside of the established rules and expectations of a society or culture.
What are informal negative sanctions?Informal negative sanctions are the social disapproval or punishment that people receive for violating social norms. An example of informal negative sanctions could be a group of friends ostracizing another friend for breaking a social rule, such as not showing up to a planned event.
In terms of the act of deviance, it could be anything from breaking a minor social norm to committing a serious crime. The reaction of informal negative sanctions is often an attempt to maintain social control by encouraging conformity to the established norms of the group or society.
While physical violence is not necessary to maintain social control, the threat of punishment is an important part of any functioning society. People follow the rules and norms of society because they know that if they do not, there will be consequences. However, it is important to note that violence and punishment should not be the only means of social control. Positive reinforcement, such as rewards for good behavior, can also be an effective way of encouraging conformity to social norms.
In summary, deviance refers to behavior that violates social norms, and informal negative sanctions are a way of enforcing social norms. The threat of physical violence is not necessary to maintain social control, but consequences for deviant behavior are essential for any functioning society.
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Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the box in terms of its height, x, in inches.
Is it possible for the height of the box to be 15 inches?
also the question has 3 boxes
Answer:
Sure, I can help you with that.
Given:
* The box is 24 inches long.
* The width of the box is seven inches less than the height.
* The volume of the box is 2,880 cubic inches.
To solve:
* Complete the equation that models the box's volume in terms of its height, x, in inches.
* Determine if the height of the box can be 15 inches.
Solution:
Let's define the following variables:
* $h$ = the height of the box (in inches)
* $w$ = the width of the box (in inches)
* $l$ = the length of the box (in inches)
We are given that l=24 and w=h−7. We can use these values to find the volume of the box:
[tex]V = lwh = 24(h - 7)h[/tex]
We can simplify this expression to get the following equation:
[tex]V = 24h^2 - 168h[/tex]
To determine if the height of the box can be 15 inches, we can substitute 15 for $h$ in the equation and see if we get a positive value for the volume.
[tex]V = 24(15)^2 - 168(15) = 2160 - 2490 = -330[/tex]
Since the volume is negative, the height of the box can't be 15 inches.
Therefore, the equation that models the box's volume in terms of its height, x, in inches is [tex]$V = 24x^2 - 168x$[/tex]. Consequently, the size of the box can't be 15 inches.
Answer:
Yes
Step-by-step explanation:
The only answer is height = 15 because the -8 will be rejected
I also need help on finding the pvalue
The claim is: Testing if the time spent completing the obstacle course is improved by the energy drink
The null and the alternate hypotheses are added below
Stating the null and the alternate hypothesisFrom the question, we have the following parameters that can be used in our computation:
The table
Also, we have the following statistical question
Is there sufficient evidence at α = 0.05 to conclude that the students did better the second time?
This means that the null hypothesis are
H1: There is no significant difference in the time spent to complete the obstacle course before and after drinking the new energy drink.
The alternate hypothesis is the opposite of the null hypothesis
So, we have
H2: There is no significant difference in the time spent to complete the obstacle course before and after drinking the new energy drink.
Lastly, the claim is that
Testing if the time spent completing the obstacle course is improved by the energy drink
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Consider the data set shown. How does the outlier affect the mean, median, and mode
7, 11, 10, 8, 10, 23, 8
The outlier does not affect the mode
The outlier will increase the mean.
The outlier will not affect the median.
How does outlier affect the mean, median and mode?The outlier will increase the mean because it will significantly increase the sum of the values.
The presence of an outlier will not affect the median, as it only changes the position of the middle value.
The mode is the value that occurs most frequently in a data set. In this case, the mode will not be affected because the outlier is not the most frequent in the data set and only appears once.
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If 86
is added to a number, the result is 44
less than three times the number. Find the number.
Answer:
x = 65
Step-by-step explanation:
let the number be 'x'.
If 86 is added to a number, the result is 44 less than three times the number. Therefore the equation will be,
=> 86 + x = 3x - 44
Rearranging,
=> x - 3x = -44 - 86
=> -2x = -130
=> x = 130/2
=> x = 65
Two coins are tossed. Assume that each event is equally likely to occur.
a) Use the counting principle to determine the number of sample points in the sample space.
b) Construct a tree diagram and list the sample space.
c) Determine the probability that no tails are tossed.
d) Determine the probability that exactly one tail is tossed.
e) Determine the probability that two tails are tossed.
f) Determine the probability that at least one tail is tossed.
Question content area bottom
Part 1
a) There is/are --------- sample point(s) in the sample space.
a. There are 4 sample points in the sample space.
What are the probability values for the toss?a) There are 4 sample points in the sample space.
b) The tree diagram and sample space are:
HH (two heads)
HT (one head, one tail)
TH (one head, one tail)
TT (two tails)
c) The probability that no tails are tossed (two heads) is 1/4 or 0.25.
d) The probability that exactly one tail is tossed (HT or TH) is 1/2 or 0.5.
e) The probability that two tails are tossed is 1/4 or 0.25.
f) The probability that at least one tail is tossed (HT, TH, or TT) is 3/4 or 0.75.
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HELP ITS AN EMERGENCY
Given the expression: 4x2 + 18x − 10
Part A: What is the greatest common factor? Explain how to find it. (3 points)
Part B: Factor the expression completely. Show all necessary steps. (5 points)
Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)
Answer:
Part A ----> 2
Part B ----> 2 (2x - 1) (x + 5)
Part C -----> See explanation below
Step-by-step explanation:
Given expression is
4x² + 18x - 10
Part A
The greatest common factor (GCF) of the terms 4x², 18x and 10 is the largest number that divides into all three numbers without a remainder
To find this
Find the prime factors of each of the terms
4x² = 2 · 2 · x · x
18x = 2 · 3 · 3 · x
10 = 2 · 5
The prime factor common to all 3 is 2
Therefore the GCF of the expression is 2
Part B
The factored expression can be obtained by factoring out the GCF
4x² + 18x - 10 = 2(2x² + 9x - 5)
We can further factor the term in parentheses:
2x² + 9x - 5
To do this,
Break the expression into groups:
= (2x² - x) + (10x - 5)
Factor x from 2x² - x: x(2x - 1)
Factor 5 from 10x - 5: 5(2x - 1)
Therefore
(2x² - x) + (10x - 5) = x(2x - 1) + 5(2x - 1)
Factor out the common term 2x -1 to get
(2x - 1)(x + 5)
Therefore
4x² + 18x + 10 = 2 (2x - 1) (x + 5)
Part C
Checking if factorization is correct
Multiply (2x - 1)(x + 5) using the FOIL method
= 2x ·x + 2x · 5 + (-1) · x + (-1) · 5
= 2x² + 10x -1x -5
= 2x² + 9x - 5
Multiply the whole expression by 2
2 · 2x² + ² · 9x - 2 · 5
= 4x² + 18x + 10
which is the original expression
So the factorization is correct
a grocery store sells a 7 oz bag of raisins for $1.10 and a 9oz bag of raisins for $1.46. Which size bag has the lower price per ounce?
To determine which size bag has the lower price per ounce, we need to calculate the price per ounce for each bag.
For the 7 oz bag, the price per ounce is:
1.10 / 7 = 0.1571
For the 9 oz bag, the price per ounce is:
1.46 / 9 = 0.1622
Therefore, the 7 oz bag has the lower price per ounce, at approximately $0.16 per ounce, compared to the 9 oz bag at approximately $0.16 per ounce. So, if the goal is to get the most value for your money, it would be better to purchase the 7 oz bag of raisins.
A line passes through the points (8,8) and (5,2). What is its equation in slope-intercept form?
Step-by-step explanation:
m=y1-y2/x1-x2
m=2-8/5-8
m=-6/-3
m=2
y=m(x-x1)+y1
y=m(x-8)+8
y=2x-16+8
y=2x-22
Answer: Y=mx+c
Step-by-step explanation:
The Slope-Intercept Form can be written in the form: y = mx + c Where “m” is the slope of the line “c” is the y-intercept of the equation of the line
Last week Kristen spent 4 hours gardening over a period of 7 days .she spent the same amount of time gardening each day.about how much time did she spend gardening each day last week
Answer:
28
Step-by-step explanation:
i did 7 times 4
Question 7(Multiple Choice Worth 1 points)
(07.04 HC)
Right triangle ABC is located at A (-1, -2), B (-1, 1), and C (-5, 1) on a coordinate plan
O (x + 1)2 + (y + 2)² = 9
O (x + 5)² + (1)² = 16
O(x + 1)2 + (y + 2)² = 25
O(x + 5)² + (y-1)² = 25
Answer:
O (x + 1)2 + (y + 2)² = 9
Step-by-step explanation:
This is because the distance between points A and B is 3 units, and the distance between points B and C is 4 units, making the triangle a 3-4-5 right triangle. Point B is located at (-1, 1), which is 3 units away from point A (-1, -2) and 4 units away from point C (-5, 1). Therefore, the circle with center (-1, -2) and radius 3 would pass through point B, and its equation would be:
(x + 1)2 + (y + 2)² = 3²
(x + 1)2 + (y + 2)² = 9
What’s the answer? Will give brainliest if correct
Explain reasoning
The statement that is not true is: C. The translation of a line is a pair of parallel lines.
What is transformation?In geometry, a transformation is a procedure that modifies a figure's position, size, or shape. Translation, rotation, reflection, and dilation are the four main categories of transformations.
Every point in a figure is translated by the same amount and in the same direction. A rotation revolves a figure around the centre of rotation, a fixed point. A figure is reversed over a line known as the line of reflection in a reflection.
In relation to a fixed point known as the centre of dilation, a dilation expands or contracts a figure by a specific scale factor.
The statement that is not true is: C. The translation of a line is a pair of parallel lines as translation is a transformation that moves every point of a figure the same distance in the same direction.
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Express all real numbers greater than 5 in interval notation.
All real numbers greater than 5 can be expressed in interval notation as:
(5, ∞)
How to express all real numbers greater than 5 in interval notation?Interval notation is a way of representing an interval on a number line. Simply, it is a method of writing subsets of the real number line.
All real numbers greater than 5 can be expressed in interval notation as:
(5, ∞)
Where the round bracket "(" means 5 is not included in the interval, and the infinity symbol "∞" means the interval continues indefinitely to the right.
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the coordinate (-1,0) (1,0) and (0,1) form the vertices of a square true or false
Since the line splits the square into two regions with equal area, it goes through center of square.
Equation of line through point (12,12)
with slope 5
y−12=5(x−12)
y=5x−2
y-intercept=(0,−2)
Since line passes through points (0.4,0)
and (0.6,1)
it divides both the bottom and top of squares in the same ratio, to that the line divides the square into 2
trapezoids with height =1
and bases =0.4
and 0.6
. Therefore, they have the same area.
Find the horizontal asymptotes and vertical asymptotes of the function [tex]k(x)= \frac{3x^{2} }{(x+1)(x-4)}[/tex]
the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.
what is vertical asymptotes ?
Vertical asymptotes are vertical lines on a graph where a function approaches infinity or negative infinity as the input (x) approaches a certain value. In other words, vertical asymptotes occur when the denominator of a function becomes zero and the function is undefined at that point
In the given question,
To find the horizontal and vertical asymptotes of the function f(x) = 3x²/[(x+1)(x-4)], we need to analyze the behavior of the function as x approaches infinity or negative infinity and as x approaches the vertical asymptotes (if any).
Vertical asymptotes occur at the values of x that make the denominator of the fraction equal to zero. In this case, we have vertical asymptotes at x = -1 and x = 4.
To find the horizontal asymptote, we need to divide the leading term of the numerator by the leading term of the denominator when x approaches infinity or negative infinity. Since the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote. However, we can use long division or synthetic division to write the function in the form of a polynomial plus a proper fraction:
f(x) = 3x²/[(x+1)(x-4)] = (3x + 15)/(x² - 3x - 4)
As x approaches infinity or negative infinity, the fraction approaches the value of 3/1 (the ratio of the leading terms of the numerator and denominator), but there is no horizontal asymptote.
Therefore, the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.
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25 Points! Multiple choice algebra question. Photo attached. Thank you!
Please help!!!!!!!!!!!
Solve for X
Find the measure of each angle using the solution to part C
HELP ASAPPPP I NEED HELP
Answer:
137 yd2
Step-by-step explanation:
Stan lawn mower had 1/8 of a gallon of gasoline in the tank he added 6/10 to the tank after he only had 1/4 of a gallon what was the total used
Stan used 19/40 of a gallon of gasoline.
Given that;
At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank.
Hence, It means that the number of gallons of gasoline that he has already put in the tank is
1/8 + 6/10 = 29/40 of a gallon.
Now, After he mowed, 1/4 of a gallon was left in the tank.
Therefore, the total amount of gasoline Stan used is
29/40 - 1/4 = 19/40 of a gallon
Thus, the total amount of gasoline Stan used is, 19/40 of a gallon
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Please help me with this question
Answer:
Your answer is E) 1/2 , -6 , 5
Step-by-step explanation:
Find the slope between (-6,5) then simplify and you will get 1/2
Find the equation of the line that passes through the point (3,−5) and is perpendicular to the line y=1/5x-2
The following transactions are taken from the record of ABC
(a) Commenced business with cash of Rs. 1,00,000 and Machine of Rs. 50,000.
(b) Purchased goods for cash Rs. 30,000 and credit Rs. 10,000.
(c) Sold goods for cash Rs. 25,000 and credit Rs. 15,000.
(d)
Goods taken by the owner for private use Rs. 2,000.
Cash paid to creditors Rs 8,000.
(e)
(f) Cash received from debtors Rs. 14,500 in full settlement.
(g) Received a loan of Rs. 5,000 from Mr. Dipendra.
(h) He introduced additional capital Rs. 40,000.
Required: Accounting equation
Ans: A = Rs. 1,94,500, C= Rs. 1,87,500, L = Rs. 7,000
The accounting equation is:
Assets = Rs. 2,19,500
Liabilities = Rs. 1,000
Capital = Rs. 2,10,500
How to determine the accounting equationThe accounting equation is:
Assets = Liabilities + Capital
(a) Commenced business with cash of Rs. 1,00,000 and Machine of Rs. 50,000.
Assets = Cash + Machine = Rs. 1,00,000 + Rs. 50,000 = Rs. 1,50,000
(b) Purchased goods for cash Rs. 30,000 and credit Rs. 10,000.
Assets = Cash + Inventory = Rs. 1,30,000
Liabilities = Accounts Payable = Rs. 10,000
(c) Sold goods for cash Rs. 25,000 and credit Rs. 15,000.
Assets = Cash + Accounts Receivable + Inventory = Rs. 1,70,000
Liabilities = Accounts Payable = Rs. 10,000
(d) Goods taken by the owner for private use Rs. 2,000.
Assets = Cash + Accounts Receivable + Inventory - Drawings = Rs. 1,68,000
(e) Cash paid to creditors Rs 8,000.
Assets = Cash + Accounts Receivable + Inventory - Drawings = Rs. 1,60,000
Liabilities = Accounts Payable - Rs. 8,000 = Rs. 2,000
(f) Cash received from debtors Rs. 14,500 in full settlement.
Assets = Cash + Inventory - Drawings = Rs. 1,74,500
Liabilities = Accounts Payable - Rs. 8,000 = Rs. 2,000
Capital = Rs. 1,70,500
(g) Received a loan of Rs. 5,000 from Mr. Dipendra.
Assets = Cash + Inventory - Drawings = Rs. 1,79,500
Liabilities = Accounts Payable - Rs. 8,000 + Loan Payable Rs. 5,000 = Rs. 1,000
Capital = Rs. 1,74,500
(h) He introduced additional capital Rs. 40,000.
Assets = Cash + Inventory - Drawings = Rs. 2,19,500
Liabilities = Accounts Payable - Rs. 8,000 + Loan Payable Rs. 5,000 = Rs. 1,000
Capital = Rs. 2,10,500
Therefore, the accounting equation is:
Assets = Rs. 2,19,500
Liabilities = Rs. 1,000
Capital = Rs. 2,10,500
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if a spinner has 2 blue, 2 green and 2 red what is the probability of landing on red when it is spinned
The probability of landing on red is given by the number of red sections divided by the total number of sections. In this case, there are 2 red sections out of a total of 6 sections. Therefore, the probability of landing on red is:
P(red) = 2/6 = 1/3
So the probability of landing on red is 1/3.
-1/2x<18 pls help figure
Answer:
-36
Step-by-step explanation:
-1/2x<18
multiply each term by LCM=2
-1/2x×2<18×2
the 2on the left hand side will cancel each other leaving
-x <36
divide both sides by -1
-x/-1>36/-1
(note the equality sign changes because following the laws when you divide by a negative number the sign will change
X>-36
Answer:
Step-by-step explanation:
x>-36 is the anwser brainlist whould be aprecited and verifed
Jazmine has 3 dogs She wants to give each dog 2 treats. How many treats does she need to have total?
Answer: 6
Step-by-step explanation:
you just get those numbers and times them 3 times 2 is 6
Eight birds live in each bird house in Mrs.Tillman's yard. Complete the table to show how the number of birds,b, depends on the houses,h.
The number of birds in Mrs. Tillman's yard depends on the number of birdhouses in a linear fashion, with each birdhouse containing 8 birds
How to solveTo find the number of birds (b) in a given number of bird houses (h), we can use the formula: b = 8h
Now, we can complete the table:
Number of bird houses (h) Number of birds (b)
1 8
2 16
3 24
4 32
5 40
So, the number of birds in Mrs. Tillman's yard depends on the number of birdhouses in a linear fashion, with each birdhouse containing 8 birds.
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Mrs. Tillman has bird houses in her yard, with eight birds living in each bird house. Complete the table to show how the number of birds (b) depends on the number of bird houses (h):
Number of bird houses (h) Number of birds (b)
1
2
3
4
5
14 A national standardized test is given in May that generates a mean score of 350 with a standard
deviation of 18. What is the probability that a randomly selected test score will fall in the
interval 360 to 380?
(1) 0.56
(2) 0.013
(3) 0.24
(4) 0.76
The probability that a randomly selected test score will fall in the interval 360 to 380 is the option (3), 0.24.
How to solveTo calculate the probability that a test score falls between 360 and 380, we need to standardize these values by subtracting the mean and dividing by the standard deviation.
This gives us:
z(360) = (360-350)/18 = 0.56
z(380) = (380-350)/18 = 1.67
We can then use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores.
The probability is approximately 0.24.
Therefore, the answer is option (3), 0.24.
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College Level Trig Question
Note tha given the above trigonometric expression, the solution is
x = 2π/3 or 4π/3
How did we arrive at that ?We will start by simplifing the equation by moving all the terms involving sin (x/2) to one side..
2sin (x /2) = √(3)
Then, we can solve for sin(x/2) by dividing both sides by two
sin (x /2) = √(3)/2
This is true when x/2 is π /3 or 2π/3, since these are the values where
sin ( π/3) = √(3)/2 and
sin (2π/3) = √(3)/2.
To find the values of x, we multiply these solutions by two
x = 2pi/3 or 4pi/3
Since we need to make sure that these solutions are in the given interval (0, 2π)
both solutions are in the interval, so our final answer is
x = 2π/3 or 4 π/3
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