Compute the total and annual returns on the described investment. Six years after buying 50 shares of \( X Y Z \) stock for \( \$ 60 \) per share, you sell the stock for \( \$ 4300 \). The total return is \( \square \% \). (Do not round until the final answer. Then round to one decimal place as needed.) The annual return is \( \square \% \). (Do not round until the final answer. Then round to one decimal place as needed.)

To calculate the total and annual returns on your investment, we first need to determine the initial investment and final value. 1. **Initial Investment**: You bought 50 shares at \( \$60 \) each. \[ \text{Initial Investment} = 50 \times 60 = \$3000 \] 2. **Final Value**: You sold the shares for \( \$4300 \). 3. **Total Return**: This is calculated using the formula: \[ \text{Total Return} = \left( \frac{\text{Final Value} - \text{Initial Investment}}{\text{Initial Investment}} \right) \times 100 \] Plugging in the numbers: \[ \text{Total Return} = \left( \frac{4300 - 3000}{3000} \right) \times 100 = \left( \frac{1300}{3000} \right) \times 100 \approx 43.3333\% \] Rounding to one decimal place, the total return is: \[ \text{Total Return} \approx 43.3\% \] 4. **Annual Return**: This is calculated using the formula for compound annual growth rate (CAGR): \[ \text{Annual Return} = \left( \left( \frac{\text{Final Value}}{\text{Initial Investment}} \right)^{\frac{1}{n}} - 1 \right) \times 100 \] where \( n \) is the number of years (6 years in this case). Plugging in the values: \[ \text{Annual Return} = \left( \left( \frac{4300}{3000} \right)^{\frac{1}{6}} - 1 \right) \times 100 \] This simplifies to: \[ \text{Annual Return} = \left( 1.4333^{\frac{1}{6}} - 1 \right) \times 100 \approx \left( 1.064 - 1 \right) \times 100 \approx 6.4\% \] So, the total return is approximately **43.3%** and the annual return is approximately **6.4%**.