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

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Related Questions

Samuel needs to mail a package to his friend in New York. He places an address label with the length represented by

the function l(x) = 3x

3 + 2x

2 − 4x + 5 and the width represented by the function w(x) = x + 2.


Part A: Find the area of the label.


Part B: Which of the following statements are true about the area of the label? Select ALL that apply.

 A(x) = l(x) + w(x)

 The resulting polynomial for A(x) will be a 4th degree polynomial

 l(x) =

A(x)

w(x)


 The resulting polynomial for A(x) will have a leading coefficient of 6

 A(x) = l(x) ∙ w(x)

 The resulting polynomial for A(x) will have a constant term of 10

Answers

Answer:

The answers are

°the resulting polynomial for A(x) will be a 4th degree polynomial

°l(x)= a(x)/w(x)

°A(x)= l(x)·w(x)

I did the algebra CFU so trust me it's correct ;)

Help plz it’s algebra 2 vertex forms of quadratic function

Answers

Answer:

I did the entire thing I attached the picture for it !! hope this helps !!

I didnt do 5 and 7 cause I forgot how to do those!!

uhh I need help, yes ik I’m dumb

Answers

Answer:

[tex]1\frac{7}{9}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{3}[/tex] is the same as 4/3 so you'd be multiplying 4/3 x 4/3 so you multiply straight across to get 16/9 when you simplify you are left with 1 7/9

Hope that helps and have a great day!

Calculate the slope between the points: (4, -9) and (5, 1)
a
m=10
b
m=1/10
с
m=-10
d
m=-1/10

Answers

Answer:

The answer is A- m=10

Step-by-step explanation:

The way to find slope is known as "Rise over Run" meaning the increase of Y over the increase of X. The increase of Y is 10 because 1 - (-9) = 10. The increase of X is 1 because 5 - 4  = 1. 10 over 1, or 10 / 1, equals 10.

What is the distance from. P to n, shown in the figure?

A. -3
B. 1
C. 4
D. 5​

Answers

Answer:

-5

Step-by-step explanation:

y2-y1/x2-x1

0-5/4-3

-5/1

Is the change in Vivians elevation from The bottom of the ferris wheel to the top a positive number or negative number? Why?

Answers

Answer:

Step-by-step explanation: The change in Vivian’s elevation is a positive number because her elevation increased as she moved from the bottom back to the top.

A case of soda has 24 cans in it. There are 12 cases of soda. 1) What is the total number of cans of soda there are? 2) The soda is donated to 7 (seven) teams. How many cans of soda does each team get? {include remainder}

Answers

Answer:288 number of cans.288 divided by 7=41

Step-by-step explanation:

The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2

Answers

D, slope=3x and y-intercept =-2

The slope of the line is - 3 and the y - intercept of the line is - 2.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of line is,

⇒ y = - 3x - 2

We know that;

The slope - intercept form of the equation of line is,

⇒ y = mx + b

Where, m is slope and b is y - intercept.

So, By comparing we get;

The slope (m) of the line = - 3

And, the y - intercept of the line = - 2.

Learn more about the equation of line visit:

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Choose the true statement.

-2 > -3
-2 < -3
-2 = -3

Answers

Answer:

The True answer is -2>-3

-2>-3 is the answer

Jose owes his brother $50. He promises to pay his brother back $5 each week until his debt is paid off. Represent the relationship between the debt, D, and the number of weeks, n, in a algebraic expression.

Answers

Answer:

5n=50d

Step-by-step explanation:

If n stands for the number of weeks and he is going to pay $5 per week, then the 5n go together and if the debt is 50, then it goes on the opposite side of the equal sign. I hope this helps!

Find all of the zeros of f(x)=x^4+5x^3-8x-40​

Answers

x=−5 x=2hope it helpss

How do you solve 60/5/90 can anyone divide that, please I will give brainliest

Answers

Answer:

Step-by-step explanation:

60/5 is 12

12/90 is .133repeated

8 out of every 20 spectators were girls. There were a total of 1560 spectators at the game. How many of the spectators were girls

Answers

Answer: I think the answer is 624 girls im sorry if its wrong if it is can you please correct me

Step-by-step explanation:

the answer is 624 girls.

When Rd 105 is divided into two parts in the ratio of2:5 how much money will be in first part

Answers

Answer:

30

Step-by-step explanation:

2x+5x= 105

7x= 105

x= 105/7

x= 15

First part= 2x= 2(15)= 30

Answer is 30 ::::::::::::::::::

help me please i need the answer now please help

Answers

Given problem:

What is the value of x = ?

 Solution:

Angle on a straight line is 180°

Sum of angles in a triangle  = 180°

Now to solve the problem, we need to find the two internal angles first;

  For the first one;

      let us say it is y;

              163 + y  = 180

                        y  = 180 - 163 = 17°

    For the second, assume it is z;

            69 + z = 180

                    z = 180 -69  = 111°

The sum of the internal angles of the triangle;

    y + z + 2x   =  180

     17 + 111 + 2x  = 180

                    2x  = 180 - 128

                     2x  = 52

                       x = [tex]\frac{52}{2}[/tex]   = 26

The value of x is 26

Which expression has a value of -8?
F 10 + (-2)
G -10 + (-2)
H -10 + 2
J 10 -(-2)

Answers

Answer:

H

Step-by-step explanation:

Jackson wants to divide a 2/5 pound box of trail mix into small bags. Each of the bags
will hold 1/10 pound of trail mix. How many bags of trail mix can Jackson fill?

Answers

Answer:

4 bags.

Step-by-step explanation:

1/10 is already good, but you need to multiply 2/5 by 2 to get 4/10, and then it's self-explanatory from there

1. Mona sells previously enjoyed rare CDs for $5/ea. and rare vinyl records for $7/ea. She sold a total of 1,200 CDs and records in a particular month, with total sales of $6,760. So:
a. What is the equation? Solve it.
b. How many CDs and records were sold?
c. What were the total dollar sales of each?

hi guys i hope you can help me to answer this question! thanks

Answers

Answer:

C  or A

Step-by-step explanation:

I think this is write

how many miles are in 234,230 feet ?

Answers

Answer:

in 234,230 feet there are 44.36 miles

The answer is 44.3617424 miles

Plz help! Are they right? The questions are below!

Answers

Answer:

The sencond is wrong but the first is good

Step-by-step explanation:

PLSSSSS HELLLPPOBDNSNSNS

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because all the other ones are equal to x < -5/3 while only B wasn't and it was x > -5/3

what is the cost price of an article which when sold at Rs 10260 gives a profit of 20%?

Answers

Answer:

8208 Rs

Step-by-step explanation:

Rs: 10260

Profit 20%

10260 * 0.20 * 100% = 2052 Rs

10260 Rs - 2052 Rs = cost of product to be produced

CP: Rs 10260

Profit: 20%

Solution: 20% off 10260 is equal to (20 x 20) / 100 = 2052. So if you buy an item at $10260 with 20% discounts, you will pay $8208 and get 2052 cashback rewards

Solve this equation. Enter your answer in the box.

3.5z – 2.7z = –6

z= ?

Answers

Answer:

z= -7.5

Step-by-step explanation:

subtract 3.5 from 2.7 = .8

.8z = -6

divide .8 from each side

z= -7.5

Answer:

-7.5

Step-by-step explanation:


12x + 8y = 24 Convert from standard form to slope-intercept form.

Answers

y= —12/8x + 3 is the slope into form because 12x + 8y = 24 minus 12x on both sides . 8y= —12x + 24 divide 8y by 8y and —12x + 24 over 8 you will get y = —12/8x + 3

The required equation is y = -(3/2)x + 3 in slope-intercept form.

What is the standard form of linear equations?

A linear equation is written in the standard form as Ax + By = C, where A, B, and C are integers and x and y are variables.

For example, 8x + 2y = 7 is the standard form of a linear equation in two variables.

The equation is given in the question, as follows:

12x + 8y = 24

Isolate the variable of y for the above equation,

8y = - 12x + 24

Divided both sides by 8 into the equation,

y = - (12x)/8 + (24)/8

y = -(3/2)x + 3

This equation is in slope-intercept form.

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The diagram below shows y as a functional of x, True or False?
A)True
B)False

Answers

Answer:

False

Step-by-step explanation:

A function can't have 2 y-intercepts so y is not a function of x

Answer:

I believe it is A.

step-by-step explanation:

Because on the grid it is the Y corrdinate and the X coordinate so I belive it id True.

Hope it helps!

Have a brainly day! :D

This is for all you billie eilish fans so if your not a billie eilish fan move along


When is her birthday ?​

Answers

Answer:

December 18, 2001

Step-by-step explanation:

Answer:

December 18 two years older than me almost lol im about to be 18 soon

Step-by-step explanation:

1. Given f(x) = 3x – 2 what is f (2x)?

Answers

Answer:

6x-2

Step-by-step explanation:

You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is completed. Your crew will work an 8-hour shift along with two other crews. The total project requires 175,000 yards of concrete. Your supervisor estimates that each crew will pour around 1200 yards per hour. How many consecutive days should you plan to work on this project?

A3

B.6

C. 18

D. 27​

Answers

Answer: B. 6

Step-by-step explanation:

How many gallons equal 8 quarts?

2 gallons
4 gallons
12 gallons
32 gallon

Answers

its 2 gallons

4 would be 16

12 would be 48

32 would be 128

the answer is 2 gallons

Write an equation of the line in standard form with integer coefficients. the line through (-2, 2), (1, -4). O A. y+2x=-2 B. y+2x=6 C. 2y+x=2 D. 2y+x=-6 ​

Answers

Answer:

A

Step-by-step explanation:

K=(y1-y2)/(x1-x2)=(2+4)/(-2-1)=-2

y=-2x+b

2=-2*-2+b

b=-2

y=-2x-2

y+2x=-2

The equation of the line in standard form with integer coefficients is → y + 2x = - 2.

What is the general equation of straight line?

The general equation of straight line is -

y = mx + c          

where 'm' represents the slope of the line and 'c' is the y - intercept.

Given is a line that passes through the points -

(-2, 2), (1, -4)

We can calculate the slope of the line using the two coordinates given -

(-2, 2), (1, -4). The slope will be -

m = (- 4 - 2)/(1 + 2)

m = -6/3

m = - 2

Assume that the equation of line is -

y = -2x + c

The line passes through the point (-2, 2), so we can write -

2 = -2 x -2 + c

2 = 4 + c

c = -2

So, we can write the equation of line as -

y = - 2x - 2

or

y + 2x = - 2

Therefore, the equation of the line in standard form with integer coefficients is → y + 2x = - 2.

To solve more questions on Straight lines, visit the link below-

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