Emily Evergreen borrows $$20,000$ on a $9\mathrm{.}5\%$ simple interest rate, $180-$day note. On the $90$th day, Emily pays $$12,000$ on the note. If ordinary interest is applied:a$.$ What is Emilys adjusted principal after the partial payment? b$.$ What is the adjusted balance due at maturity? c$.$ What is the amount of the interest saved by making the partial payment?