An investment banker is responsible for investing a customer’s money into the greatest interest earning account. the banker has the following options for his customer’s investment:

account a:
interest rate = 8%
term of investment = 8 years
interest compounded annually account b:
interest rate = 7%
term of investment = 10 years
interest compounding continuously
which account, a or b, will earn the customer the greatest amount of interest on his $50,000 investment? in your final answer, include all of your calculations.