Answer:
0.33%
Step-by-step explanation:
The account value when principal P is compounded continuously at annual rate r for t years is given by ...
A = Pe^(rt)
For the given values, we can solve for r:
4193.89 = 4125e^(r·5)
We can divide by 4125, take the natural log, then divide by the coefficient of r to find the value of r:
ln(4193.89/4125)/5 = r ≈ 0.33%
The interest rate is about 0.33%.