Katec Corporation borrowed $$78,000\mathrm{.}00$ at $9\%$ compounded quarterly for $7$ years to buy a warehouse. Equal payments are made at the end of every $3$ months. $($a$)($b$)($c$)($d$)$Determine the size of the quarterly payments.Compute the interest included in payment $9$Determine the principal repaid in payment period $13.$Construct a partial amortization schedule showing details of the first three payments, the last three payments, and totals.