An investment of $\$ 3,500.00$ earns $15.3 \%$ annual interest, compounded continuously. If no funds are added or removed from this account, what is the future value of the investment after 37 years? Round your answer to the nearest penny. Future Value =$?

Step 1 ：Given an initial investment (P) of $3500, an annual interest rate (r) of 15.3% or 0.153 in decimal form, and a time period (t) of 37 years, we are asked to find the future value (FV) of the investment. The formula for future value of an investment compounded continuously is given by \(FV = P * e^{rt}\), where e is a mathematical constant approximated as 2.71828.

Step 2 ：Substitute the given values into the formula: \(FV = 3500 * e^{(0.153 * 37)}\).

Step 3 ：Calculate the future value to get \(FV = 1006025.7718728057\).

Step 4 ：Round the future value to the nearest penny to get the final answer.

Step 5 ：\(\boxed{\text{The future value of the investment after 37 years is approximately \$1,006,025.77}}\)