1. **State the problem:** Bryn takes out a loan of 800 pounds with compound interest at 28% per year. We need to find how much Bryn will owe after 14 years. 2. **Formula for compound interest:** $$ A = P \times (1 + r)^t $$ where: - $A$ is the amount owed after $t$ years, - $P$ is the principal (initial loan), - $r$ is the annual interest rate (as a decimal), - $t$ is the time in years. 3. **Identify values:** - $P = 800$ - $r = 0.28$ - $t = 14$ 4. **Substitute values into the formula:** $$ A = 800 \times (1 + 0.28)^{14} = 800 \times (1.28)^{14} $$ 5. **Calculate $(1.28)^{14}$:** $$ (1.28)^{14} \approx 32.919 $$ 6. **Calculate the amount owed:** $$ A = 800 \times 32.919 = 26335.2 $$ 7. **Round to the nearest penny:** $$ \boxed{26335.20} $$ **Answer:** Bryn will owe approximately 26335.20 pounds after 14 years.