SOLUTION: How long (in years) would $700 have to be invested at 12.1%, compounded continuously, to earn $300 interest? (Round your answer to two decimal places.)

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Question 866856: How long (in years) would $700 have to be invested at 12.1%, compounded continuously, to earn $300 interest? (Round your answer to two decimal places.)
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
A = P e ^(rt), A = $700 + $300
ln%281000%2F700%29%2F.121+=+t

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How long (in years) would $700 have to be invested at 12.1%, compounded continuously, to earn $300 interest?
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FV+=+PV%2Ae%5E%28r%2At%29
1000+=+700%2Ae%5E%280.121t%29
e%5E%280.121t%29+=+1000%2F700
0.121t = ln(10/7)
t = ln(10/7)/0.121
t =~ 2.95 years