Final answer:
After 5 years, the account will have approximately $595.47.
Step-by-step explanation:
To calculate the future value of the investment after 5 years, we can use the formula:
FV = P(1 + r/n)^(nt)
Where:
FV is the future valueP is the principal amountr is the annual interest rate (as a decimal)n is the number of times the interest is compounded per yeart is the number of years
In this case, the principal amount (P) is $500, the annual interest rate (r) is 3.9% (or 0.039 as a decimal), the interest is compounded monthly (n = 12), and the investment period is 5 years (t = 5).
Plugging these values into the formula:
FV = $500(1 + 0.039/12)^(12*5)
Calculating this expression will give us the future value of the investment after 5 years.