Nancy Mitchell" owes $$111,600$ on a $10\%,170-$day note. On day $45,$ she pays $$22,320$ on the note. On day $120,$ she pays an additional $$44,640.$ 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: