The fitness center needs $125,000 in five years for more workout machines. Find the total interest earned if payments are made at the end of each quarter with interest at 6% compounded quarterly.

Answers

Answer 1

Answer:

$38,562.5

Step-by-step explanation

Using the compound interest formula

A = P(1+r/n)^nt

P is the principal = $125,000

r is the rate = 6% = 0.06

time t  = 5years

n = 0.25 (quarterly payment)

Substitute

A = 125000(1+0.06/0.25)^5(0.25)

A = 125000(1+ 0.24)^1.25

A = 125000(1.24)^1.25

A = 125000(1.3085)

A = 163,562.5

Hence the interest earned = 163,562.5 - 125000

interest earned = $38,562.5


Related Questions

I need help with this question

Answers

Answer:

[tex]sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9[/tex]

Option B: 20.9°


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Page 11 of 4
Question 11 (1 point)
Rock musician Donny West is paid 20% on his CD sales and tour video sales.
Last year, he sold one million CDs and 650,000 videos.
The CDs were sold to music stores for $5.25 each and the videos for $6 each.
How much did Donny West receive in royalties last year?
a) $780,000
b) $1,050,000
c) $1,830,000
d) $200,000
e) $130,000

Answers

Answer:

dony west receive $1830000

need this done in five omgg pls help 19 points

Answers

6.64mm² multiply the cm and get that

Find the surface area of the rectangular prism

Answers

I believe it would be 242 cm^2

Write the expression 53.7124 x 10 x 3 as a single number.

Answers

Answer:

The aswer is buy a rabbit

Step-by-step explanation:

Answer:

1611.372

Step-by-step explanation:

Hey Besties! Pls help! 50 pts!
Which is the graph of f(x) = one-fourth(4)x?

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (2, 1) and (0, 4).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (1, 1) and (0, 4).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (3, 2) and (4, 4).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).

Answers

The graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d) on a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).

What are functions?

Functions are used to represent equation, graphs and tables

The equation of the function is given as:

[tex]f(x) = \frac 14(4)^x[/tex]

The above function is an exponential function that has an initial value of 1/4 and a rate of 4

When x = 2,

f(2) = 4

When x = 1,

f(1) = 1

Hence, the graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d)

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

graph one

Step-by-step explanation:

did it on ed .

find the answer of
31050×2³​

Answers

The answer for 31050*(2^3)= 248400 :)

A pinwheel's four blades are all congruent right trapezoids.

4 in

2 in

2 in

What is the combined area of the four blades, in square inches?

Answers

Answer:

[tex]Area = 24\ in^2[/tex]

Step-by-step explanation:

Given

Let

[tex]a, b \to[/tex] opposite sides of each trapezoid

[tex]h \to[/tex] height

[tex]a = 2; \ \ \ b = 4 \ \ \ \ h = 2[/tex]

See attachment for trapezoids

Required

The combined area of the 4

First, we calculate the area of 1

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

So:

[tex]A_1 = \frac{1}{2}(2 + 4) * 2[/tex]

[tex]A_1 = \frac{1}{2}*6 * 2[/tex]

Using a calculator

[tex]A_1 = 6[/tex]

The combined area is:

[tex]Area =n * A_1[/tex]

Where

[tex]n = 4[/tex] --- 4 blades

So:

[tex]Area = 4 * 6[/tex]

[tex]Area = 24\ in^2[/tex]

The coordinates of 4 points are A(0,9), B(k + 1, k + 4), C(2k, k + 3) and
D(2k + 2, k + 6). Find the value(s) of k if
(a) the points A, B and C are collinear,
(b) AB is parallel to CD.​

Answers

9514 1404 393

Answer:

  (a) 2 or 3

  (b) -13

Step-by-step explanation:

(a) A, B, and C are collinear if there is some constant 'c' such that ...

  B - A = c(C - A)

This will give rise to two equations in 'c' and 'k'.

  (k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))

  (k +1, k -5) = c(2k, k -6)

And the two equations are ...

  k +1 = 2ck

  k -5 = c(k -6)

From the first, we find ...

  c = (k +1)/(2k)

From the second, we find ...

  c = (k -5)/(k -6)

Equating these expressions for c gives ...

  (k +1)/(2k) = (k -5)/(k -6)

  (k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)

  k^2 -5k -6 = 2k^2 -10k

  0 = k^2 -5k +6 = (k -3)(k -2)

Solutions that make the factors zero are ...

  k = 3  or  k = 2

There are two values of k that make the points collinear: 2 and 3.

__

(b) AB is parallel to CD when the slopes of the lines between them are the same

  slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)

  slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2

Equating these slopes and solving for k, we get ...

  (k -5)/(k +1) = 3/2

  2(k -5) = 3(k +1)

  2k -10 = 3k +3

  -13 = k

AB is parallel to CD when k = -13.

_____

The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).

50 points!!!!! need answer ASAP

Answers

Answer:

the first option

Step-by-step explanation:

i believe

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFraction one-fourth EndFraction left-parenthesis x minus 12 right-parenthesis.(x – 12). What is the standard form of the equation for this line?

Answers

Given:

The line passes through the two points (–4, –3) and (12, 1).

The point-slope form of the equation of the line is:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

To find:

The standard form of the equation for this line.

Solution:

The standard form of a line:

[tex]Ax+By=C[/tex]

The given point-slope form of the equation of the line is:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

Multiply both sides by 4.

[tex]4(y-1)=(x-12)[/tex]

[tex]4y-4=x-12[/tex]

[tex]-4+12=x-4y[/tex]

[tex]8=x-4y[/tex]

Interchanging the sides, we get

[tex]x-4y=8[/tex]

Therefore, the standard form of the equation for this line is [tex]x-4y=8[/tex].

y = one-fourth x minus three-fourths got it on the edge

Um gato come 5 ratos por dia. Quantos ratos 5 gatos comem em 5dias?​

Answers

Answer:

1 gato come 5 ratos em 1 dia X 5 = 5 gatos come 25 ratos por dia

5 gatos come 25 ratos por dia X 5 = 25 gatos come 125 ratos por dia

Add a sale this week a suit is being sold for $476 this is a 15% discount from the original price what is the original price

Answers

If the $476 is a 15% discount then $476 is 85% of the OG price. The original price is $560.

560 * .15 = 84.
560 - 84 = 476.

Solve for X: -10+3X<4

Answers

Answer:

x<14/3

Step-by-step explanation:

-10+3x<4

3x<4+10

3x<14

x<14/3

If this helps please mark as brainliest

Name the three labeled segments that are parallel to EF

Answers

Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

What data display would be best for a persons income based on age?

Answers

Answer:

where are the answers to select from?

Step-by-step explanation:

Can somebody help me with my mathia

Answers

Answer:

Sure i can try helping u with ur mathia lol

Step-by-step explanation:

A square has a perimeter of 88 yd. What is the length of each side

Answers

Answer:

22 yards

Step-by-step explanation:

p = 4s

88 = 4s

22 = s

A is a set containing five different numbers. B is a set containing
four different numbers, all of which are members of A. Which of
the following statements CANNOT be true?

Answers

Answer:

"the median of a is equal to the median of b" cannot be true.

Step-by-step explanation:

The statement "the range of A is less than the range of B. cannot be true.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

The given statements are:

The mean of A is equal to the mean of B,The median of A is equal to the median of B,The range of A is equal to the range of B,The range of A is less than the range of B.

The range of A < the range of B --> the range of a subset cannot be more than the range of a whole set.

Thus, the statement "the range of A is less than the range of B. cannot be true.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ2

Which sequence of transformations would create an image that is incongruent to the original pre-image? O A translation 4 units to the left followed by a dilation by 2 O A rotation of 90- followed by a translation of 2 units to the right O A reflection across the y-axis followed by a rotation of 180- O A rotation of 270 followed by a reflection across the x-axis.​

Answers

Answer: Choice A

A translation 4 units to the left followed by a dilation by 2

=============================================================

Explanation:

The following transformations will make the pre-image and image congruent to one another:

ReflectionRotationTranslation

If you apply any of those transformations mentioned above, then the image is an identical copy of the pre-image. Nothing about the figure has changed other than it has been shifted, rotated, or reflected in some way. The figure retains its original size and shape. These transformations are called isometries.

A dilation on the other hand does not preserve the size. "Dilation by 2" means the scale factor is 2, so the image will be twice as large compared to the pre-image, in terms of linear dimension. This means there is no way the image is congruent to the pre-image if a dilation has occurred.

Based on all this, choice A is the answer. Choices B, C, and D only involve the three isometries mentioned earlier and no dilation at all, so they can be ruled out.

HELP PLEASE
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 121212 mm.
What is the volume of each lollipop?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.

Answers

Answer:

[tex]V=7.45\times 10^{15}\ mm^3[/tex]

Step-by-step explanation:

The radius of each lollipop is 121212 mm

We need to find the volume of each lollipop. The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times (121212 )^3\\\\V=7.45\times 10^{15}\ mm^3[/tex]

So, the volume of each lollipop is equal to [tex]7.45\times 10^{15}\ mm^3[/tex].

plz help 5th grade work

Answers

Answer:

I don't see where the question is...

Step-by-step explanation:

will give brainliest and 50 points
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.

Answers

when you divide -8/2=-4 and 2/2=1

-4<1

when you divide by a negative number your sign changes

4>-1

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.

Answer:

see below

Step-by-step explanation:

When multiplying or dividing an inequality by a positive, the inequality remains the same direction

3x < 6

Divide by 3

3x/3 < 6/3

x <2

When multiplying or dividing an inequality by a negative, the inequality changes direction

-3x < 6

-3x/ -3 > 6/-3

x > -2

\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1)

Answers

Answer:

3sqrt2

Step-by-step explanation:

b jhf vj fjvfd vmnd fmv ndkfv mndfvdf nkvvdf lkv nf khlfd hjvdf

Alex collects coins that appreciate (increase in) value. At the store he has found three coins that he likes and can afford. Help Alex decide which coin to buy by selecting two coins and comparing their values over time. 1. Which two coins are you going to compare? Circle the two coins you picked. Coin A Coin B Coin C Finding Equations for the Values 2. What are the current values and appreciation rates of the two coins you selected? (2 points: 1 point for each of 2 coins) Coin Current Value Annual Appreciation Rate 3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use the formula: V(t) = P(1 + r)t, where V(t) is the value of the coin in t years, P is the initial investment, and r is the growth rate. For each of the coins you selected, identify P and r, then set up an equation to find the value of the coin at any t. (2 points: 1 point for each coin) Coin P r Function V(t) = V(t) = Interpreting Exponential Expressions 4. In the coin value formula, V(t) = P(1 + r)t, which part(s) form the base of the exponential function? Which part(s) form the constant, or initial value? Which part(s) form the exponent? (4 points: 1 point for each answer below) Base: Constant, or initial value: Exponent: In this function, if the value of r were to increase, would the value represented by P also increase or stay the same? Why? Explain your answer using terms such as "rate of growth" and "initial value" in the context of the coin problem. 5. Find the value of the coins after 10, 20, 30, and 60 years. Use the function you identified in question 3 to calculate the value. (8 points: 1 point for each time interval) Coin A Coin B Coin C Initial Value 10 years 20 years 30 years 60 years Determining the More Valuable Coin 6. Which coin is more valuable after 10 years? 20 years? 30 years? 60 years? Which coin would you purchase if you intended to keep it longer than 60 years, and why? (Hint: Loo

Answers

Answer:

Coin A:

10:$46.18

20:$96.74

30:$190.31

60:$1448.66

Coin B

10:$65.16

20:$106.13

30:$172.88

60:$466.98

Coin C

10:$88.81

20:$131.47

30:$194.60

60:$631.18

I think these are right. I've rounded the answers to the nearest 10th place.

guys please help its my final either i pass or not

Answers

Answer:

Step-by-step explanation:

1 yes 2 no 3 no 4 yes 5 no

Answer:

1. yes

2. yes

3. no

4. yes

5. no

Step-by-step explanation:

go to mathwa* and type in the same equation and click to see if function or not.

gl on the final

this guy above me is wrong for #2

In parallelogram ABCD, AC=87.5 and BC=52.5. If ABCD is a rectangle, find AB.

Answers

We can do this using Pythagorus,,,
87.5*2 - 52.5*2 = AB*2
4900 = AB*2
70 = AB

Provide your steps!!
•••••••••••••••••••••••••

Answers

Answer:

946 ft²

Step-by-step explanation:

28 x 7 = 196

30 x 25 = 750

750 + 196 = 946 ft²

2x1= how much answer ​

Answers

It’s two






Explanation:
2x1 = 2

Answer:

2X1 = 2

Step-by-step explanation:

When multiplying a number times 1 it Would stay the same as the first number was before 1 number over that and It would end up equaling an actual number like for example 2x2 = 4 confused on how you got 2x1 as 2? Well simple let me explain it more with other equations 7x1 = 7 4x1 = 4 20x1 = 20 you see?

PLssssssssssssssssssssss help.

Answers

D is answer you please
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