Jim Young owes $57,600$ on a $7\%,140-$day note. On day $45,$ he pays $$17,280$ on the note. On day $60,$ he pays an additional $$23,040.$ Based on the U$.$S$.$ Rule, calculate the following. $($Use a $360-$day year, and round all answers to the nearest cent.$)$ What is the adjusted balance after the first payment? What is the adjusted balance after the second payment? What is the balance at maturity?