1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Blizzard [7]
1 year ago
7

When you start your career, you decide to set aside $250 every month to deposit into an investment account. The investment firm

claims that historically their accounts have earned an annual interest rate of 9.0% compounded monthly. Assuming this to be true, how much money will your account be worth after 20 years of depositing and investing? Round your answer to the nearest cent. Do not include labels or units. Just enter the numerical value.
Mathematics
1 answer:
alexandr1967 [171]1 year ago
3 0

After 20 years of depositing and investing there will be 168474.01 dollars in your account.

<h3>What is compound interest?</h3>

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\rm A = P(1+\dfrac{r}{n})^{nt}

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

The formula for calculating how much money will your account be worth after 20 years of depositing and investing is:

P = $250, r = 9% = 0.09, t = 20 years, n = 12 and PMD = $250(per month deposit)

\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}

\rm A = 250(1+\dfrac{0.09}{12})^{12\times20}+\dfrac{250((1+\dfrac{0.09}{12})^{12\times12}-1)}{\dfrac{0.09}{12}}

A = 1502.287 + 166971.717

A = $168474.01

Thus, after 20 years of depositing and investing there will be 168474.01 dollars in your account.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ1

You might be interested in
Solve the system of equations using substitution. Write the solution as an ordered pair.
IrinaK [193]

Answer:

  (-3, 3)

Step-by-step explanation:

Substitute for y:

  x+6 = -2x -3

  3x = -9 . . . . . . . add 2x -6 to both sides

  x = -3 . . . . . . . . divide by 3

  y = (-3) +6 = 3 . . substitute for x in the first equation

The solution is ...

  (x, y) = (-3, 3)

4 0
3 years ago
What is the algebra expression for this six feet less than the width
Tatiana [17]
So,

"six feet less than"

- 6

"the width"

w

w - 6 

"six feet less than the width (w)"

w - 6
4 0
3 years ago
Can someone help me pls it due In the next two hrs
Lubov Fominskaja [6]

Answer:

1. More magnets are longer than 2 1/2

2. 10 magnets measure in whole numbers and 5 magnets between 2 whole numbers

3. Because the shortest magnet is 1 inch and the longest magnet is 4 inches.

Step-by-step explanation:

1.  There are 7 magnets that are longer than 7 1/2 and only 6 magnets that are shorter than 2 1/2. (The 2 magnets that are exactly 2 1/2 are neither longer nor shorter therefore they do not apply to the question.)

5 0
3 years ago
How many hoursarea180minub
Dafna11 [192]
Solutions 

1hr = 60 min

180 ÷ 60 = 3 

<span>180 min = 3 hrs </span>
7 0
3 years ago
Read 2 more answers
Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a
Bond [772]

f(x)=3\sin x+3\cos x\implies f'(x)=3\cos x-3\sin x

f has critical points where f'=0:

3\cos x-3\sin x=0\implies\cos x=\sin x\implies\tan x=1\implies x=\pm\dfrac\pi4+2n\pi

where n is any integer. We get solutions in the interval \left[0,\frac\pi3\right] for n=0, for which x=\frac\pi4.

At this critical point, we have f\left(\frac\pi4\right)=3\sqrt2\approx4.243.

At the endpoints of the given interval, we have f(0)=3 and f\left(\frac\pi3\right)=\frac{3+3\sqrt3}2\approx4.098.

So we have the extreme values

\max\limits_{x\in\left[0,\frac\pi3\right]}f=3\sqrt2

\min\limits_{x\in\left[0,\frac\pi3\right]}f=3

8 0
3 years ago
Other questions:
  • 6(2k+5)-3k=66 show work please
    9·2 answers
  • A study claims that college students spend an average of 4 hours or less studying per day. A researcher wants to check if this c
    7·1 answer
  • What is the value of g?<br><br>−5+7g=3g+9<br><br>−1<br><br>1<br><br>125<br><br>312
    14·2 answers
  • Which equation is in point-slope form for the given point and slope?
    5·1 answer
  • Calculate the volume of a cylinder of height 7 cm and radius 4 cm (take π)​
    15·1 answer
  • Find the value of tan A
    10·2 answers
  • A windmill has eight equally spaces blades that rotate in the clockwise direction How many degrees must blade P rotate to reach
    12·1 answer
  • CAN SOMEONE PLZ HELP MEI BEG U ILL DO ANYTHING JUST HELP ME!!!!
    9·1 answer
  • D) IF 16 PEOPLE PARTICIPATED IN A RACE, HOW MANY WAYS<br> CAN THEY PLACE 1st, 2nd, AND THIRD?<br> +
    8·2 answers
  • PLEASE HELP!! I have been stuck for a while!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!