James and Lupe are trying to decide which savings account to choose at their bank. James chooses to deposit a principle amount of $525 in a savings account that with an interest rate of 2.75% compounded quarterly. Lupe chooses to deposit a principle amount of $550 in a savings account with an interest rate of 2.25% compounded monthly. Part A: Determine how much James will have after 4 years with the savings account he chose. Be sure to show all work to receive full credit.
Part B: Determine how much Lupe will have after 4 years with the savings account she chose. Be sure to show all work to receive full credit.
Part C: Who will have more money after the 4 year period assuming they do not make any deposits or withdrawals from their accounts?