<PRE><B>Question 134994</B>
Suppose $1000 is invested at an annual rate of 5.7% compounded continuously. 
A.What is the ammount after 6 years?
A(t) = Pe^(rt)
A(6) = 1000e^(0.057*6)
A(6) = 1000*1.4078
A(6) = $1407.80
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B.How long would it take for the ammount in the account to quadruple?
4000 = 1000e^(0.057t)
4 = e^(0.057t)
Take the natural log of both sides.
0.057t = ln4
t = [ln4/0.057]
t = 24.32 years
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Cheers,
Stan H.
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