SOLUTION: Find the numbers of years, to the nearest hundredth, it will take for money deposited in an account paying 6% compounded monthly to double.

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Question 1130471: Find the numbers of years, to the nearest hundredth, it will take for money deposited in an account paying 6% compounded monthly to double.
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.
FV = P%2A%281%2B0.06%2F12%29%5E%2812%2An%29,


where FV is the future value;  P is the principal deposit;  n is the number of years.


In out case  FV = 2P,   so


2 = %281%2B0.005%29%5E%2812n%29 = 1.005%5E%2812n%29


log(2) = 12n*log(1.005)


n = log%28%282%29%29%2F%2812%2Alog%28%281.005%29%29%29 = 11.58 years.


Answer.  Approximately 11 years and 7 months.  12 years is totally enough.

Solved.