$1.)$ For $2$ years, Trey deposited $$600$ at the end of every $3$ months into an investment that earned $3\mathrm{.}6\%,$ compounded quarterly. Over the same $2$ years, Sam deposited $$2400$ annually into an investment that carned$3\mathrm{.}8\%,$ compounded annually. Whose investment is worth more, and by how much?

$2.)$ Miguel wants to buy an entertainment system as a wedding gift for his sister. He estimates that when she marries a year from now, the system will cost $$2499,$ plus $13\%$ tax. Will Miguel have enough money to buy the system if he deposits $$225$ at the end of each month into an account that earns $3\mathrm{.}6\%,$ compounded monthly? Explain.