Answer:
Using the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment
P = the principal (initial amount of investment)
r = the interest rate (as a decimal)
n = the number of times per year the interest is compounded
t = the time (in years)
Plugging in the values:
P = $500
r = 6.5% = 0.065
n = 12 (compounded monthly)
t = 10
A = 500(1 + 0.065/12)^(12*10)
A = $935.98
Hannah's investment will be worth $935.98 after 10 years.