Let's solve the problem step by step: **Given:** - Principal (P) = $8,098.21 - Annual interest rate (r) = 5% = 0.05 - Time (t) = 30 years We assume **interest is compounded annually** (typical unless stated otherwise). ### Step 1: Write the Compound Interest Formula \[ A = P (1 + r)^t \] Where: - \(A\) = final amount - \(P\) = principal (starting amount) - \(r\) = annual interest rate (as a decimal) - \(t\) = number of years --- ### Step 2: Plug in the Values \[ A = 8,098.21 \times (1 + 0.05)^{30} \] \[ A = 8,098.21 \times (1.05)^{30} \] --- ### Step 3: Calculate \((1.05)^{30}\) \[ (1.05)^{30} \approx 4.321942 \] --- ### Step 4: Multiply by the Principal \[ A = 8,098.21 \times 4.321942 \approx 34,991.56 \] --- ### Step 5: Round to the Nearest Dollar \[ A \approx 34,992 \] --- ### Step 6: Add Dollar Symbol and Comma \[ \boxed{\$34,992} \] --- **Final Answer:** \[ \$34,992 \]