Final answer:
Riley will earn $2,805 in interest by lending $12,750 at a 5.5% interest rate over 4 years, according to the simple interest formula I = PRT.
Step-by-step explanation:
The amount of money in interest that Riley will earn from lending $12,750 at a 5.5% interest rate over 4 years can be calculated using the simple interest formula. The formula for simple interest is I = PRT, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time in years. Applying this formula, we get:
I = $12,750 × 0.055 × 4
I = $2,805
Therefore, the interest Riley will earn is $2,805, which corresponds to option A, $2,805.62. Although there's a slight discrepancy due to rounding, option A is the closest to the correct answer.