Answer:
To calculate the interest rate earned on the investment, we can use the formula for compound interest:
FV = PV*(1 + r)^n
Where:
FV = Future value of the investment
PV = Present value of the investment
r = Annual interest rate (in decimal form)
n = Number of compounding periods
We can rearrange this formula to solve for the interest rate, which gives us:
r = (FV/PV)^(1/n) - 1
Substituting the given values, we get:
r = ($8,000/$5,000)^(1/5) - 1
r = 0.099 - 1
r = 0.098 or 9.8%
Therefore, the interest rate earned on the investment is 9.8%.