<PRE><B>Question 125868</B>
“How long will it take to double my money?” At 8% interest rate and continuous compounding
A(t) = Ao*e^(rt)
Ao is the amount invested
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Your Problem:
2Ao = Aoe^rt
2 = e^rt
Take the natural log of both sides to get:
ln2 = rt
ln2 = 0.08t
t = ln2 / 0.08
t = 8.6643 years
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Cheers,
Stan H.</PRE>