SOLUTION: How long does it take $1,150 to double if it is invested at 9% interest compounded monthly? Round your answer to the nearest tenth.

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Question 301425: How long does it take $1,150 to double if it is invested at 9% interest compounded monthly? Round your answer to the nearest tenth.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
How long does it take $1,150 to double if it is invested at 9% interest compounded monthly? Round your answer to the nearest tenth.
.
Compound interest formula:
Regular Compound Interest Formula
A+=+P%281%2Br%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
.
2%281150%29+=+1150%281%2B.09%2F12%29%5E%2812t%29
2+=+%281%2B.09%2F12%29%5E%2812t%29
2+=+%281.0075%29%5E%2812t%29
log%281.0075%2C2%29+=+12t+
log%282%29%2Flog%281.0075%29+=+12t+
%28log%282%29%2Flog%281.0075%29%29%2F12+=+t+
7.7 years = t