Final answer:
The value of the CD after three years is $8370.52. The interest earned is $870.52.
Step-by-step explanation:
To find the value of the CD after three years, we can use the formula for compound interest: A = P(1+r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, P = $7500, r = 6.5% = 0.065, n = 12 (compounded monthly), and t = 3. Plugging in these values into the formula, we get:
A = $7500(1+0.065/12)^(12*3) = $8370.52
The value of the CD after three years is $8370.52. To calculate the interest earned, we subtract the initial principal amount from the final amount:
Interest earned = $8370.52 - $7500 = $870.52