Brandy is planning on investing 5000 and is considering two savings accounts. The 1st account is continously compounded and offers a 3% interest rate. The 2nd is annually compounded and offers a 3% interest rate, but the bank will match 4% of the initial investment. How many years will it take for the continuously compounded account to catch up with the annually compounded savings account?
I already have an equation for both accounts, but I don't understand how to solve this problem or what it means for the bank to match 4% of the initial investment.