SOLUTION: After what period is the interest generated equal to the original principal if the account pays 6% compounded daily?

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Question 1177589: After what period is the interest generated equal to the original principal if the account pays 6% compounded daily?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Let Principal be 100
Amount (FV) =200
interest = 6%
compounded daily

Amount = P*((n+r)/n)^n

200 = 100 *( 1 + 0.005 )^ n*t
2 = *( 1 + 0.005 )^ n* 12
ln 2 = 12 n *ln 1.005
0.693147181 = 12 0.004987542 *n
11.58 = n
11.58 years

Answer by ikleyn(53618) About Me  (Show Source):
You can put this solution on YOUR website!
.
After what period is the interest generated equal to the original principal if the account pays 6% compounded daily?
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        Calculations in the post by @mananth are incorrect.
        I came to bring a correct solution.


Let Principal be 100
Amount (FV) = 200
interest rate per year = 6% = 0.06
compounded daily

Amount = P%2A%281%2B0.06%2F365%29%5En,  where 'n' is the number of days
                                  (counting 365 days in a year)


200 = 100*(1+0.06/365)^n}}}

2 = %281+%2B+0.06%2F365%29%5En

ln(2) = n%2Aln%281+%2B+0.06%2F365%29

n = ln%282%29%2Fln%281%2B0.06%2F365%29%29 = 4217 days  (rounded),  or 11.553 years  (rounded).    ANSWER

Solved in a way as it is expected to be solved.