SOLUTION: How much money should be deposited today in an account that earns 10.5% compounded monthly so that it will accumulate to $22,000 in four years?

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Question 316660: How much money should be deposited today in an account that earns 10.5% compounded monthly so that it will accumulate to $22,000 in four years?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
How much money should be deposited today in an account that earns 10.5% compounded monthly so that it will accumulate to $22,000 in four years?
.
Compound interest formula:
A+=+P%281+%2B+i%2Fn%29%5E%28nt%29
Where
A is amount after time t
P is the principal
i is the interest
n is number of times compounded
t is time (in years)
.
A+=+P%281+%2B+i%2Fn%29%5E%28nt%29
Plugging in what was given:
22000+=+P%281+%2B+.105%2F12%29%5E%2812%2A4%29
22000+=+P%281+%2B+.105%2F12%29%5E48
22000+=+P%281+%2B+.00875%29%5E48
22000+=+P%281.00875%29%5E48
22000%2F%281.00875%29%5E48+=+P
22000%2F%281.00875%29%5E48+=+P
$19,816.19 = P