1. **State the problem:** Calculate the future value of an annuity with quarterly payments of 125, an interest rate of 7% compounded quarterly, and an initial principal of 10,000. 2. **Formula used:** The future value of an annuity compounded periodically is given by: $$FV = P \times \left(1 + \frac{r}{n}\right)^{nt} + PMT \times \left(\frac{\left(1 + \frac{r}{n}\right)^{nt} - 1}{\frac{r}{n}}\right)$$ where: - $P$ is the initial principal (10,000), - $PMT$ is the payment per period (125), - $r$ is the annual interest rate (0.07), - $n$ is the number of compounding periods per year (4), - $t$ is the number of years. 3. **Assumption:** Since the time $t$ is not given, we cannot compute a numeric answer without it. If you provide $t$, we can calculate the exact future value. 4. **Explanation:** The formula adds the compounded initial principal and the future value of the series of payments made each quarter. Since $t$ is missing, please provide the number of years to proceed with the calculation.