Kim Henderson owes $$104,400$ on a $10\%,160-$day note. On day $15,$ she pays $$31,320$ on the note. On day $100,$ she pays an additional $$36,540.$ 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: