SOLUTION: Solve the problem. When interest is compounded continuously, the balance in an account after t years is given by P(t)= Poekt, where Po is the initial investment and k is the int

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Question 726650: Solve the problem.
When interest is compounded continuously, the balance in an account after t years is given by P(t)= Poekt, where Po is the initial investment and k is the interest rate. Suppose that Po is invested in a savings account where interest is compunded continuously at 8% per year. Express P(t) in terms of Po and 0.08.
Possible answers are:
A) P(t)= Poo.08t
B) None
C) P(t)=Poe0.08t
D) P(t)=Poe8t
E) P(t)=Poe0.08

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
P%28t%29=+P%5B0%5De%5Ekt with
P%5B0%5D= amount originally invested (principal at time zero),
k= annual interest rate (expressed as a decimal), and
t= time in years,
gives the balance as a function of time.

If the annual interest is 8%, the interest rate expressed as a decimal is
k=8%2F100 --> k=0.08 and
highlight%28P%28t%29=+P%5B0%5De%5E0.08t%29

All you had to do is write 0.08 instead of k in the formula.