Suppose that $5751 is invested at an interest rate of 7% per year, compounded continuously. What is the account balance after 35 years?

Using $LaTeX: \displaystyle P=P_0e^{kt}$ gives $LaTeX: \displaystyle P=5751e^{\frac{7 t}{100}}$ . Evaluating at $LaTeX: \displaystyle t=35$ gives $LaTeX: \displaystyle P=66645$ dollars.