Betty Hernandez owes $$61,200$ on a $6\%,160-$day note. On day $45,$ she pays $$15,300$ on the note. On day $70,$ 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: