To calculate the future value of an investment with compound interest, we can use the formula:

Where:
FV is the future value
PV is the present value (initial investment)
r is the interest rate (expressed as a decimal)
n is the number of periods (in this case, five years)
Explanation:
Substituting the given values:
PV = $13,500
r = 10% = 0.10
n = 5
FV = $13,500 * (1 + 0.10)^5
Calculating the result:
FV = $13,500 * (1.10)^5
FV= $21,741
Answer: After 5 years the CD will be worth approximately $21,741.