SOLUTION: The amount of A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^rt where r is expressed as a decimal.

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Question 47892: The amount of A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^rt where r is expressed as a decimal. How many years will it take an initial investment of $1,000 to grow to $1,700 at the rate of 4.42% compunded continuously.
I came up with 12 years.

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
A = Pe^rt
1700 = 1000e^0.0442t
ln(1.7) = 0.0442t
ln(1.7)/0.0442 = t
About 12 days