Rajon is buying a new couch that costs $$2200.$ He plans to pay off the debt by making regular monthly payments and he is considering the following two credit options: $(4$ points$)$ Finance the purchase through the store at an interest rate of $6\mathrm{.}2\%,$ compounded monthly, for a term of $2$ years. Finance the purchase with a bank loan that charges an interest rate of $5\mathrm{.}4\%,$ compounded monthly, for a term of $4$ years.a$)$ What are the monthly payments for both options? Show your work.b$)$ How much interest will each option charge? Show your work.