1. **State the problem:** Ms. Lanz takes out a $9000 loan at 8.75% interest for 4 years with monthly payments of $222.90. We need to find the total repayment amount. 2. **Formula and explanation:** The total repayment is the monthly payment multiplied by the total number of payments. 3. **Calculate total number of payments:** $$\text{Total payments} = 4 \text{ years} \times 12 \text{ months/year} = 48 \text{ months}$$ 4. **Calculate total repayment:** $$\text{Total repayment} = 222.90 \times 48$$ 5. **Perform multiplication:** $$222.90 \times 48 = 10699.20$$ 6. **Interpretation:** Ms. Lanz will repay a total of $10699.20 over 4 years. **Final answer:** $$\boxed{10699.20}$$