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 = Pert where r is expressed as a decimal. So

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Question 73049: 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 = Pert where r is expressed as a decimal. Solve this formula for t in terms of A, P, and r.
selections:
f=In (AP/r)
f = In (A/rP)
f= rIN (A/P)
T = i/r In (A/P)
If you could please explain it to me.
Thanks you very much
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A=Pe^(rt)
e^(rt)=A/P
Take the natural log of both sides to get:
rt = ln(A/P)
Solve for "t"
t= (1/r)ln(A/P)
Cheers,
Stan H.