$1.$ Catherine took out a $3-$year loan of $$24,700$ at a nominal rate of $6\%,$ compounded principality ide iners prayers by heid at tered or capit in saking thethat earns $5\%,$ compounded semiannually.Cut dipsi as Sp to d in The in depis deposite fro years the sinking$($a$)$ Find F$.($b$)$ Construct an amortization schedule that traces the progress of the sinking fund balance, the net loan balance, and also the net interest for each half year.