1. **State the problem:** Bryn takes out a loan of 800 pounds with a compound interest rate of 28% per year. We need to find how much Bryn will owe after 14 years. 2. **Formula used:** The compound interest formula is $$A = P \left(1 + \frac{r}{100}\right)^t$$ where: - $A$ is the amount owed after $t$ years, - $P$ is the principal amount (initial loan), - $r$ is the annual interest rate (in percent), - $t$ is the time in years. 3. **Substitute the values:** $$P = 800, \quad r = 28, \quad t = 14$$ So, $$A = 800 \left(1 + \frac{28}{100}\right)^{14} = 800 \times (1.28)^{14}$$ 4. **Calculate $(1.28)^{14}$:** Using a calculator, $$(1.28)^{14} \approx 39.646$$ 5. **Calculate the final amount:** $$A = 800 \times 39.646 = 31716.8$$ 6. **Round to the nearest penny:** The amount Bryn will owe after 14 years is approximately **31716.80 pounds**. **Final answer:** $$\boxed{31716.80}$$