SOLUTION: P dollars invested at interest rate r compounded annually for 5 years increases to an amount A = P(1 + r)^5. If an investment of $1000 is to increase to an amount greater than $140

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Question 241518: P dollars invested at interest rate r compounded annually for 5 years increases to an amount A = P(1 + r)^5. If an investment of $1000 is to increase to an amount greater than $1400 in 5 years, then the interest rate must be greater than what percentage?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A+=+P%2A%281+%2B+r%29%5E5
P+=+1000
A+=+1400
1400+=+1000%2A%281+%2B+r%29%5E5
1.4+=+%281+%2B+r%29%5E5
Take the log base 10 of both sides
log%281.4%29+=+5%2Alog%281+%2B+r%29
.146+=+5%2Alog%281+%2B+r%29
log%281+%2B+r%29+=+.0292
10%5E.0292+=+1+%2B+r
1.07+=+1+%2B+r
r+=+.07
The interest rate has to be greater than 7%