\begin{tabular}{l} Find the missing value. Round your answer to the nearest tenth of a percent. \\ \( \begin{array}{lll}\text { Principal } & \text { Rate } & \text { Time } \\ \$ 2000 & \square \% & 8 \text { years }\end{array} \) \\ \hline\( \$ 624 \)\end{tabular}

To find the missing interest rate, we can use the formula for simple interest, which is: \[ I = P \times r \times t \] Where \( I \) is the interest earned, \( P \) is the principal, \( r \) is the rate (in decimal), and \( t \) is the time (in years). Here, we know: - \( I = 624 \) - \( P = 2000 \) - \( t = 8 \) We need to rearrange the formula to solve for \( r \): \[ r = \frac{I}{P \times t} \] Plugging in the known values: \[ r = \frac{624}{2000 \times 8} = \frac{624}{16000} = 0.039 \] To express the rate as a percentage, we multiply by 100: \[ r = 0.039 \times 100 = 3.9\% \] So, the missing rate rounded to the nearest tenth of a percent is **3.9%**.