An auto repair shop borrowed $$15,000$ to be repaid by quarterly payments over $5$ years. Interest on the loan is $11\%$ compounded quarferly$($a$)$ What is the size of the periodic payment?$($b$)$ What is the outstanding principal after payment $7?($c$)$ What is the interest paid on payment $89($d$)$ How much principal is repaid in payment $82$