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:** $$P = 800, \quad r = 28, \quad t = 14$$ 4. **Calculate the amount:** $$A = 800 \left(1 + \frac{28}{100}\right)^{14} = 800 \times (1.28)^{14}$$ 5. **Evaluate the power:** Calculate $(1.28)^{14}$ using a calculator or approximation: $$(1.28)^{14} \approx 37.699$$ 6. **Multiply to find the final amount:** $$A = 800 \times 37.699 = 30159.2$$ 7. **Round to the nearest penny:** Bryn will owe approximately 30159.20 pounds after 14 years. **Final answer:** $$\boxed{30159.20}$$