Certainly! Here's the transcribed text from the image formatted for an educational website: --- ### Doubling Time for Investments with Continuous Compounding **Problem 1:** Find the time it takes for $7,700 to double when invested at an annual interest rate of 1%, compounded continuously. **Solution:** \[ \boxed{} \] years --- **Problem 2:** Find the time it takes for $770,000 to double when invested at an annual interest rate of 1%, compounded continuously. **Solution:** \[ \boxed{} \] years --- **Instructions:** - Give your answers accurate to 4 decimal places. **Additional Resources:** - [Question Help](#) \[Video\] [Submit Question](#) --- The problems involve calculations using the formula for continuous compounding, which is derived from the formula: \[ A = Pe^{rt} \] where: - \( A \) is the amount of money accumulated after n years, including interest. - \( P \) is the principal amount (initial investment). - \( r \) is the annual interest rate (decimal). - \( t \) is the time in years. - \( e \) is Euler's number, approximately equal to 2.71828. For doubling, set \( A = 2P \) and solve for \( t \).