Patricia Nelson owes $$61,200$ on a $10\%,160-$day note. On day $90,$ she pays $$15,300$ on the note. On day $130,$ she pays an additional $$30,600.$

Based on the U$.$S$.$ Rule, calculate the following. $($Use a $360-$day year, and round all answers to the nearest cent.$)$

Adjusted balance after the first payment:

Adjusted balance after the second payment:

Balance at maturity: