Manexa Corporation borrowed $$71,000\mathrm{.}00$ at $10\%$ compounded monthly for $12$ years to buy a warehouse. Equal payments are made at the end of every month$($a$)$ Determine the size of the monthly payments.$($b$)$ Compute the interest included in payment $62.($c$)$ Determine the principal repaid in payment period $53.($d$)$ Construct a partial amortization schedule showing details of the first three payments, the last three payments, and totals.