$1.$ You purchase a piece of furniture worth $$5000$ on credit through a local furniture store. You are told that your monthly payment will be $$146\mathrm{.}35,$ including an acquisition fee of $$25,$ at a $10\%$ add$-$on interest rate over $48$ months. After making $15$ payments, you decide to pay off the balance. Compute the remaining balance based on the conventional amortized loan.