SOLUTION: The amount 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

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: The amount 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      Log On

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Question 46770This question is from textbook
: The amount 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% compounded continuously?
a.) 10 years
b.) 11 years
c.) 12 years
d.) 13 years
Thank you so very much.
This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
A+=+Pe%5E%28rt%29
1700+=+1000e%5E%280.042t%29
1.7+=+e%5E%280.042t%29
log%28e%2C1.7%29+=+log%28e%2Ce%5E%280.042t%29%29
log%28e%2C1.7%29+=+0.042t
log%28e%2C1.7%29%2F0.042+=+t About 12.6 so 13 years
d.)