What annual rate of interest compounded continuously is required to triple an investment in 12 years? Round your answer to three decimals. A. $9.155 \%$ B. $4.794 \%$ C. $5.946 \%$ D. $9.587 \%$

Step 1 ：The formula for continuous compounding is \(A = Pe^{rt}\), where \(A\) is the final amount, \(P\) is the principal amount, \(r\) is the annual interest rate, and \(t\) is the time in years.

Step 2 ：In this case, we know that \(A/P = 3\) and \(t = 12\) years. We need to solve for \(r\).

Step 3 ：We can rearrange the formula to get \(r = \ln(A/P) / t\).

Step 4 ：Then we can substitute the known values into the formula and calculate \(r\).

Step 5 ：Finally, we need to convert \(r\) from a decimal to a percentage and round to three decimal places.

Step 6 ：Final Answer: The annual rate of interest compounded continuously required to triple an investment in 12 years is \(\boxed{9.155\%}\).