SOLUTION: Please help me solve this: Suppose $1000 is invested at an annual rate of 5.7% compounded continuously. A.What is the ammount after 6 years? B.How long would it take for the

Question 134994: Please help me solve this:
Suppose $1000 is invested at an annual rate of 5.7% compounded continuously.
A.What is the ammount after 6 years?
B.How long would it take for the ammount in the account to quadruple?
Found 2 solutions by stanbon, scott8148:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
A=Pe^(rt)

A=1000e^(.057*6)

let t="time to quadruple"
4=e(.057*t) __ taking natural log __ ln(4)=.057*t __ dividing by .057 __ (ln(4))/.057=t
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