Aaron invested $570 in an account paying an interest rate of 7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 8 years?

Answers

Answer 1

Answer:

The amount of money that would be in the account after 8 years is approximately $998

Step-by-step explanation:

The given parameters for the compound interest investment are;

The amount Aaron invested = $570

The interest rate of the investment = 7%

The mode of compounding of the interest = Continuously

The number of years the amount is invested = 8 years

For a compounded continuously interest rate, we have;

[tex]A = P \cdot e^{r \cdot t}[/tex]

Where;

A = The future value =The amount realized from the investment after the time of investment

P = The initial value = The principal amount invested

e = Euler's number = Mathematical constant

r = The interest rate = 7%

t = The time of investment = 8 years

Therefore, by substituting the known values, we have;

[tex]A = 570 \times e^{0.07 \times 8} \approx 997.883325[/tex]

The amount of money that would be in the account after 8 years to the nearest dollar = The future value of the investment = A ≈ 998

The amount of money that would be in the account after 8 years to the nearest dollar ≈ $998.


Related Questions

(4.102) (2-103)
What is this

Answers

Answer:

− 414.302

(The answer is simplified, you did not specify the way to solve it.)

1. Solve the equation for x.
-3 (x+ 4) = 12

Answers

Answer:

x = -8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i had that on my test before

Help please.
Algebra.

Answers

Answer:

D.

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: −4

y-intercept: (0,4)

Answer:

D.) d

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: -4

y-intercept: (0,4)

x: 0 & 1

y: 4 & 0

Hence the answer is coordinate grid D.

The sum of 2 numbers is 56 and the difference is 16 what are the numbers

Answers

Answer:

36 and 20

Step-by-step explanation:

let x = one number

let y = second number

set up system of equations:

x + y = 56

x - y = 16

add the two equations to get:  2x = 72

therefore, x = 36 and y = 20

1 Which point has coordinates (2, 2)?

A. Point A
B. Point C
C. Point F
D. Point G


I NEED THIS NOW PLEASE HELP​

Answers

Answer:

g

Step-by-step explanation:

It’s answer D. Point G

PLZ I REALLY NEED HELP Find the values of x and y in parallelogram PQRS
15. PT=x+2, TR=y, QT=2x, TS=y+3
PLZ ANSWER ASAP DUE IN 30 MINS I WILL BE AWARDING 20 POINTS AND BRAINLIEST ANSWER TO whoever CAN SOLVE THIS

Answers

Answer:

x = 5 and y = 7

Step-by-step explanation:

Given that,

PT = x+2, TR=y, QT=2x, TS=y+3

We need to find the value of x and y.

The diagonal of a parallelogram bisect each other. It means,

PT = TR and QT = TS

ATQ,

y = x+2 ...(1)

and

y+3 = 2x ....(2)

Subtracting equation (1) and (2).

y-(y+3) = x+2-2x

y-y-3 = 2-x

-3 = 2-x

x = 2+3

x = 5

Put the value of x in equation (1).

y = 5 + 2

y = 7

Hence, the values of x and y are x = 5 and y = 7.

Answer:

^ they are correct

Step-by-step explanation:

I need help please, this is due today.

Answers

Answer:

-1

Step-by-step explanation:

Okay, i might be wrong..? I tried and this is what I got.

I believe the slope is 2/2 which i simplest form is just 2

Help meee please.........

Answers

Answer: B

x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right

Please help me for my math homework!!
Show your work too pleasee.

Answers

Answer:

a. Green

b. Blue

c. Red

d. Purple

(Just for clarification, m is the slope and b is the y-intercept.)

Find the average rate of change
f(x)=x^2+9x+13 where x2=5 and x1=2

Answers

the answer in the picture

What is the the area of an 8x8x8 general prism

Answers

Answer:

512??

Step-by-step explanation:

um i just multipled 8x8x8 but its probably wrong- sorry

i don't need the work just the answer!!

Answers

i believe that it’s y=5x

Let f(x) = 3x - 5 and g(x) = x +10 Find f(g(x))

Answers

Answer:

f(g(x)) = 3x + 25

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Function NotationFunction Composition

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 5

g(x) = x + 10

Step 2: Find f(g(x))

Substitute:                    f(g(x)) = 3(x + 10) - 5Distribute 3:                  f(g(x)) = 3x + 30 - 5Subtract:                       f(g(x)) = 3x + 25

Pls help and show workings
Options
A. 14
B. 36
C. 54
D. 90

Answers

Answer:

(C). 54°

Step-by-step explanation:

m∠3 + m∠4 = 90°

m∠1 = m∠4 = 2x + 8

(4x - 2)° + (2x + 8)° = 90°

4x - 2 + 2x + 8 = 90

6x + 6 = 90

6x = 84

x = 14

m∠6 = m∠3 = 4(14) - 2 = 54°

) Choose ALL the numbers that are less than 6.58. 6.583 6.5 6.58 5.98 6.538 6.49​

Answers

Answer:

6.5, 6.49

Step-by-step explanation:

The numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

What is decimal?

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions.

Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given number: 6.58

Now, we have to find the number less than 6.58

6.58 < 6.583

6.58 > 6.5

6.58 = 6.58

6.58 >5.98

6.58 > 6.538

6.58 > 6.49.

Hence, the numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

Learn more about decimal here:

https://brainly.com/question/548650

#SPJ2

A telemarketer earns a fixed amount for each call that he makes, as shown in
the graph below.


If the telemarketer makes 12 calls, how much will he earn in total?

A. $4.80
B. $9.60
C. $0.80
D. $1.20

Answers

Answer:
B. $9.60
Explanation:
1 call = $0.80
$0.80 x 12 calls = $9.60

Answer:

The answer is $9.60!

Step-by-step explanation:

Which statement is true?

Answers

Answer:

B, the second answer choice

Step-by-step explanation:

Hope this helped! Please mark me as brainliest if you can!

Can anybody help me with this one

Answers

9514 1404 393

Answer:

  A(-8, 6), D(-1, -16), E(17, -3)

Step-by-step explanation:

Any point with an x-value that matches any of {-8, -1, 5, 15, 17} will prove Mariela's claim incorrect. (A function cannot use an x-value more than once.)

Those points are ...

  (-8, 6), (-1, -16), (17, -3)

Find the slope of the line that goes through each set of points.
2. (2. 10) and (1,5)
3. (0.2) and (-3, 2)
4. (-4.0) and (0, -3)
5. (1.3) and (-2, 6)


PLEASE HELP!!!

Answers

2. m=5
3. m=0
4. m= - 3/4
5. m= -1

Hope this helps

Have a great day/night

Which of these equations has a solution of x = 2? Select three that apply. A 6(2x – 1) = 4 + 7x B 10 – 3x = –2(x + 4) C –3(7 – 2x) = –1 – 4x D 7x + 12 = 2(4x – 5) E –5(x + 1) = –4 – 7x F 8x + 11 = 9(5 – x)

Answers

Answer:

x = 2 for a, c, and f

Step-by-step explanation:

a)

6(2x - 1) = 4 + 7x

12x - 6 = 4 + 7x

5x = 10

x = 2

b)

10 - 3x = -2(x + 4)

10 - 3x = -2x - 8

18 = x

c)

-3(7 - 2x) = -1 - 4x

-21 + 6x = -1 - 4x

10x = 20

x = 2

d)

7x + 12 = 2(4x - 5)

7x + 12 = 8x - 10

22 = x

e)

-5(x + 1) = -4 - 7x

-5x - 5 = -4 - 7x

2x = 1

x = 1/2

f)

8x + 11 = 9(5 - x)

8x + 11 = 45 - 9x

17x = 45 - 11

17x = 34

x = 2

Answer:

A,C,F

Step-by-step explanation:

I don't know how to do these I have online schooling and I need this asap please any help be amazing ​

Answers

The first one would be AAS because they share the middle angle, the corner angle and the side that connects them both, does that make sense? They have to share three things in order for them to be congruent

6 people picked yellow polish Find the percentage of customers that chose yellow polish.​

Answers

Answer:

24%

Step-by-step explanation:

4 + 9 + 1 + 3 + 6 + 2 = 25

6/25 = .24 = 24%

A cylinder has a radius of 5 cm, and a height of 10 cm. What is the
volume? Use 3.14 as it.

Answers

Answer:

785 cm³

Step-by-step explanation:

3.14x5x5x10=785

sasssssssssssssssssssssssssssssssssssss

A sandwich store chargers a $10 delivery fee, and $4.50 for each sandwich.

what is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches.

Formula (y=mx+b)

Answers

Answer:

$37

Step-by-step explanation:

Delivery fee- $10

each sandwich- $4.50

Sandwiches ordered- 6

4.50(6)+10=37

My guys do your thing i am giving brainliest

Answers

Answer: 18.84

1.  Multiply the radius by two (diameter)

2. Multiply the diameter by pi

3. Round

Answer:

the circles circumference is 18.84 cm

Kiran wants to know if there is more efficient way of solving the problem. Oriya says she can solve the problem with only 2 rows in the table. What do you think Priya's method is? Use the sketch to show work on how Prius would get their answer.

Answers

Ummmm I think 5 I rlly don’t know though sorry

Answer:62.5

Hello

Step-by-step explanation:

1. 7.50 divided by 6 = 1.25 for 1 length of rope (Feet)

2.50x1.25=62.5

Hope this helped

Or I might be wrong Im not sure yet.

What’s the GCF of (45x power of 2) y, and (54xy power of 2)

Answers

Answer:

[tex]9xy[/tex]

Step-by-step explanation:

I suppose you're asking for the GCF of [tex]45x^2y[/tex] and [tex]54xy^2[/tex].

[tex]45x^2y = 3^2 \times 5 \times x^2 \times y\\54xy^2 = 2 \times 3^3 \times x \times y^2[/tex]

The GCF is [tex]3^2 \times x \times y = 9xy[/tex].

The answer is I’m adopted and I’m bad at math

Plz help
Will mark brainliest

Answers

Answer:

(0,-1)

Step-by-step explanation:

(0,-1) will work because when you plug them is it is equivalent to 4

What is the value of x in:
3x + 2(x + 1) = 12?
A.12
B.6
C.10
D.2​

Answers

Answer:

D

Step-by-step explanation:

3x + 2(x + 1) = 12 ← distribute and simplify left side

3x + 2x + 2 = 12

5x + 2 = 12 ( subtract 2 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2 → D

d .2

d will be the answer

by simplify

Macey is considering the following jobs. She will earn commission at each job based on her estimated sales. How much would her earnings be at Job A?

Answers

9514 1404 393

Answer:

  $1320

Step-by-step explanation:

The amount of commission is the product of the commission rate on sales and the amount of sales:

  Job A commission = 0.12 × $11,000 = $1320

_____

It may help you to realize that the percent symbol (%) is fully equivalent to /100. That is 12% = 12/100 = 0.12.

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