SOLUTION: please help me I never and still isn't good on doing these problems. Thanks in advance. How much you must deposit in an account that pays 6.25% interest, compounded annually to

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: please help me I never and still isn't good on doing these problems. Thanks in advance. How much you must deposit in an account that pays 6.25% interest, compounded annually to      Log On


   



Question 1035882: please help me I never and still isn't good on doing these problems. Thanks in advance.
How much you must deposit in an account that pays 6.25% interest, compounded annually to have a balance of $700.00 after 2 years.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Look at this year by year, since 1 year is the compounding period.

p, principle to start

FIRST YEAR END
balance is p%2B%286.25%2F100%29p

SECOND YEAR END
Balance is %28p%2B%286.25%2F100%29p%29%2B%286.25%2F100%29%28p%2B%286.25%2F100%29p%29
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Simplify this expression.
Equate the expression to 700.00 dollars.
Solve for p.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

please help me I never and still isn't good on doing these problems. Thanks in advance.
How much you must deposit in an account that pays 6.25% interest, compounded annually to have a balance of $700.00 after 2 years.
Use the formula for the PRESENT VALUE of $1: P+=+A%2F%281+%2B+i%2Fm%29%5Emt. where:
P = Present Value (unknown in this case)
A = Future Value ($700, in this case)
i = Interest rate (6.25%, or .0625, in this case)
m = Compounding periods, per year (anuually, or 1, in this case)
t = Time, in years (2, in this case)
Therefore, P+=+A%2F%281+%2B+i%2Fm%29%5E%28mt%29 becomes: P+=+700%2F%281+%2B+.0625%2F1%29%5E%281%2A2%29 ======> P+=+700%2F%281+%2B+.0625%29%5E2 =======> P+=+700%2F%281.0625%29%5E2
P, or Present Value/Deposit to be made now = highlight_green%28matrix%281%2C3%2C+%22%24620.0692042%22%2C+or%2C+%22%24620.07%22%29%29