SOLUTION: How much would you need to deposit in an account now in order to have $3000 in the account in 10 years? Assume the account earns 3% interest compounded monthly.

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Question 1195275: How much would you need to deposit in an account now in order to have $3000 in the account in 10 years? Assume the account earns 3% interest compounded monthly.

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
How much would you need to deposit in an account now in order to have $3000
in the account in 10 years?
Assume the account earns 3% interest compounded monthly.
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Use the formula for discretely compounded account 

      f = p * (1 + r) ^ n


where f is the future value
      p is the principal (the deposited amount)
      r is the interest rate per time period, presented as a decimal
      n is the number of time periods.


Your time periods are months.


f = 3000.
r = 0.03/12.
n = 10 years * 12 = 120 months.


Formula becomes 3000 = p%2A%281+%2B+0.03%2F12%29%5E120,  which gives

    p = 3000%2F%281%2B0.03%2F12%29%5E120 = 2223.29  to the nearest cent.    ANSWER

Solved.

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To see many other similar  (and different)  solved problems on compounded interest accounts,  look into the lesson
    - Compounded interest percentage problems
in this site.

Learn the subject from there.