Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?

Answers

Answer 1

Answer:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=7500\hspace{35px}r=0.015\hspace{35px}t=8

P=7500r=0.015t=8

Given values

A=7500e^{0.015(8)}

A=7500e

0.015(8)

Plug in

A=7500e^{0.12}

A=7500e

0.12

Multiply

A=8456.22638685

A=8456.22638685

Use calculator (with e button)

A\approx 8500

A≈8500

Round to nearest hundred dollars

Step-by-step explanation:

Answer 2

The amount of money to the nearest hundred dollars that would be in the account after 8 years is  $60,900.

What is the future value of the account?

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

A= amount e = 2.7182818 N = number of years r = interest rate

7500 x e^0.015 x 8 = $60,900

To learn more about continuous compounding, please check: https://brainly.com/question/26476328

#SPJ2


Related Questions

A group of friends are playing a lawn game. In each round of the game, the players take turns throwing a plastic disc and aiming for the line. Their score is based on the distance their disc lands from the line. If the disc lands before the line, their score is negative. If the disc lands after the line, their score is positive.The table below shows the scores from the first round.


Jada -4


Jacques 7


Maeve -2


Vladamir 3


Terrance 1


Put the players in order from first place to last place.


Please put the answer and not something stupid
Also I’ll give brainliest

Answers

Answer: Here

Step-by-step explanation:

7,3,1,-2

Answer:

7,3,1,-2

hope it helps

Plzz answer fast I know what it is but I need to double check!!!!!

Answers

Answer:

it's B

Step-by-step explanation:

just solve them and they match

Answer:

If your thinking B is the answer then you are right

What is the value of x?

-36 + (-3x) = 0

Answers

Answer:

x = -12

Step-by-step explanation:

-36 + (-3x) = 0

___________

+36. +36

(add; addition poe)

______________

-3x = 36

_______

÷3 ÷3

(divide; division poe)

_______

-x = 12

______

×÷-1 ×÷-1

(multiply or divide by negative one to cancel out the negative; identity)

______

x = -12

V=\pi r^{2}h solve for pi

Answers

Answer:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .

Write the word sentence as an equation. Then solve.

A number x divided by −9 is −16.
Equation = ?
Solution x = ?

Answers

Answer:

x = 144

Step-by-step explanation:

When a number is being divided by another number , it will be that number/the number that is dividing that number.

Equation:

x/-9 = -16

x = -16(-9)

x = 144

Equation= x/-9=16
Solution x= 144

tell what 0 represents in that situation. Greg scored 278 points during his turn in the video game.

Answers

Answer:

ok i think it might be +278

Step-by-step explanation:

so try +278

Answer:

wanna zoom

Step-by-step explanation:

hello I need help woth​

Answers

what do you need help with?

Answer:with what

Step-by-step explanation:

PLZ HELP FOR A LOT POINTS!

Let f(x) represent the linear parent function.

Which descriptions match the given transformations?

Drag and drop the answers into the boxes.

1.) f(x+17)

2.) 17f(x)

f(x) ​is vertically stretched by a factor of 17.

f(x) is vertically compressed by a factor of 17.

f(x) is translated 17 units down.

f(x) is translated 17 units right.

f(x) is translated 17 units left.













PreviousNext

Answers

Answer:

Stretched vertically by a factor of 17 and translated 17 units left

Step-by-step explanation:

Answer:

1.) f(x)

is translated 17 units left.

2.) ​ f(x)

​is vertically stretched by a factor of 17.

Step-by-step explanation:

What is 7/9 divided by 1/3???????

Answers

Answer:

0.259...

Step-by-step explanation:

How do you solve this?!!

Answers

Answer:

135°

Step-by-step explanation:

Step 1:

100° + 35° + 180° - ? = 180°        Sum of a Δ/Vertical ∠'s

Step 2:

315° - ? = 180°        Combine Like Terms

Step 3:

315° = 180° + ?        Add ? on both sides

Step 4:

315° - 180° = ?     Subtract

Answer:

? = 135°

Hope This Helps :)

A wire that is 80 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. 80 cm wire Suppose that the side length (in centimeters) of one square is x cm. Express the perimeter of the big square in terms of x. (1 point)

Answers

Answer:

The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]

Step-by-step explanation:

From the information given:

The length of the piece of the wire  = 80 cm

When being cut into two pieces;

the length of the first wire = x

Then the length of the second(big) wire will be = 80 - x

However, when each piece is bent to a square shape

The length of one side of the first square = [tex]\dfrac{x}{4}[/tex]

The length of one side of the second(big) square; [tex]\dfrac{80-x}{4}[/tex]

Area of a square = l² ( where l is the length of the sides)

For the first square

A₁ = [tex](\dfrac{x}{4})^2[/tex]

A₁ = [tex]\dfrac{x^2}{16}[/tex]

The area of the second(big) square is:

A₂ = [tex](\dfrac{80-x}{4})^2[/tex]

A₂ = [tex](\dfrac{(80-x)^2}{4})[/tex]

The perimeter of the first square = [tex]4 \times \dfrac{x}{4}[/tex]

The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]

Given the ordered pairs find the value of r that makes the slope equal to the given value (3 , r) and (7 , 2) m= 1/4
Possibles answers
A) r= -1
B) r= 2
C) r=1
D) r =3
E) r=0

Answers

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula, then equate to [tex]\frac{1}{4}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, r) and (x₂, y₂ ) = (7, 2)

m = [tex]\frac{2-r}{7-3}[/tex] = [tex]\frac{2-r}{4}[/tex] , then

[tex]\frac{2-r}{4}[/tex] = [tex]\frac{1}{4}[/tex] ( since denominators are both 4, equate the numerators )

2 - r = 1 ( subtract 2 from both sides )

- r = - 1 ( multiply both sides by - 1 )

r = 1 → C

your answer would be c.

What is .85 as a percent

Answers

Answer:

85%

Step-by-step explanation:

Move the zeros two places

Find the value of x in the triangle shown below.
Choose 1 answer:

D) x=8

Answers

Answer:

B is the correct answer 100%.....

[tex]b \: \: \sqrt{32} [/tex]

Hopes to get BRAINLIEST

Thank you ☺️☺️☺️☺️

The table shows the number of teaspoons of vanilla needed to make different batches of cookies.

Select one box from each row to describe how to find the number of teaspoons of vanilla needed to make n batches of cookies?

Answers

Answer:

Multiple

4

By

N

Step-by-step explanation:

Solve this problem using the Distributive Property.

2 ( 7 + 8 ) =

Answers

Answer:

30

Step-by-step explanation:

Original Equation: 2(7 + 8)

So you have to multiply 2 by 7 which equals 14

Then you multiply 2 by 8 which equals 16

Your equation should now look like this: 14 + 16

Add 14 and 16 together.

Your answer is 30

Hope I helped :)

Please condsider brainliest

Shen drove 780 miles in 12 hours. At the same rate, how many miles would he drive in 5 hours?​

Answers

780miles/12 hours equals 65 miles per 1 hour. if you are going at the same rate, you multiply 65 miles times 5 hours to get 325 miles. he drove 325 miles in 5 hours

PLESAE HELP NOW!!
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:


Which statement best describes the relationship between the positions of the two players?


Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answers

Answer:

Ok so what you would do is find -6,3 and -6,-3 on the grid and pinpoint them.

Step-by-step explanation:

Have a brainly day!!


Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.



Just solve for 50 points and brainliest!

10x10-3=

6-4x3=

Answers

Answer:

1. 97

2. -6

Step-by-step explanation:

hope this helps

Solve for b:
C = 15 + ab

Answers

Answer:

b = C - 15

         a

Step-by-step explanation:

C = 15 + ab

C - 15 = ab

   a         a

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[tex]C = 15 + ab[/tex]

Subtract sides 15

[tex]C - 15 = - 15 + 15 + ab[/tex]

[tex]C - 15 = ab[/tex]

Divided sides by a

[tex] \frac{C - 15}{a} = \frac{a \times b}{a} \\ [/tex]

[tex] \frac{C - 15}{a} = b \\ [/tex]

[tex]b = \frac{C - 15}{a} \\ [/tex]

Done....

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solve this asap thanks !

Answers

W= -56. Please mark as brainliest or like I’m trying to level up and if u need a explanation let me know

What is the difference between midpoint and perpendicular bisector?

Answers

Answer:The midpoint can be any middle part of a line, and the perpendicular Bisector is can only be 90 degrees.

Help please I need to get it done today​

Answers

Answer:

The fourth option

I hate to ask, but please give me Brainliest. I need it to level up <3.

Answer:

The last one

Step-by-step explanation:

plz help am just dumb today...

Answers

Answer:

C and D!

Step-by-step explanation:

For A, two is greater than negative four, so that eliminates that right off the bat.

In B, -1/3 is greater than -1/6, so that choice is wrong.

E, -3/4 is greater than negative three, so that is also wrong!

C and D are correct!

If you need extra help, I'm here!

Answer:

B,D

Step-by-step explanation:

They are ordered correctly

Brainliest appreciated!

50 is 6.25% of what number?

Answers

Answer:

800

Step-by-step explanation:

Answer:

i think its 800

Step-by-step explanation:

taking the test

Diet/Food: List 3 diet considerations athletes should follow when they are training.

Answers

Answer:

Choose healthy sources of protein such as chicken, turkey, fish, peanut butter, eggs, nuts and legumes. Stay hydrated with beverages, as a two percent drop in hydration levels can negatively impact performance. Options include milk, water, 100 percent fruit juice and sport drinks.

if 2x+10 does not equal 42 then x does not equal 16​

Answers

Answer:

I can help if you like actually finished the full question.

Step-by-step explanation:

2(16) + 10 = 42

32 +  10 = 42

if this is a true or false question than this would be true.

Help please!! Write the equation of the line fully simplified slope-intercept form.

Answers

Answer:

y=mxtb right? so... y= 0+8

Step-by-step explanation:

i think so right? im sorry if im wrong

HELPPP ASAP!

Find the slope between the two points.
(3,7) (2,9)
m= 2
m= -2
m= 0
m = 1

Answers

The slope would equal 2. M=2

Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below. What is the instructor’s hourly fee?

$15 per hour
$22 per hour
$26 per hour
$37 per hour

Answers

the answer is $15 per hour

Answer: A just got it on edge

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