SOLUTION: i need $4500 in 7 years. The bank offers a 2% intrest rate compounded semiannualy. How much would they need to deposit now in order to have $4500 in7 years

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Question 357968: i need $4500 in 7 years. The bank offers a 2% intrest rate compounded semiannualy. How much would they need to deposit now in order to have $4500 in7 years
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!

A+=+P%281+%2B+r%2Fn%29%5E%28nt%29

P = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
t = number of years the amount is deposited or borrowed for.
A = amount of money accumulated after n years, including interest.
n = number of times the interest is compounded per year
Apply above to your question:
i need $4500 in 7 years. The bank offers a 2% intrest rate compounded semiannualy. How much would they need to deposit now in order to have $4500 in7 years
.
P is what you're looking for
r is .02
n is 2
t is 7
A is 4500
.
A+=+P%281+%2B+r%2Fn%29%5E%28nt%29
4500+=+P%281+%2B+.02%2F2%29%5E%282%2A7%29
4500+=+P%281+%2B+.01%29%5E14
4500+=+P%281.01%29%5E14
4500%2F%281.01%29%5E14+=+P
$3914.83+=+P