Final answer:
Each payment for Lucy's loan should be $13,750.
Step-by-step explanation:
To calculate the amount of each payment, we need to divide the total loan amount plus interest by the number of payments. In this case, Lucy borrowed $50,000 with a 10% interest rate, resulting in a total loan amount of $55,000. Since there are four equal payments, each payment will be $55,000 divided by 4, which is $13,750.
Therefore, the correct answer is $13,750 (D).