1. A simple interest loan for \(\$ 45,500\) is taken out at \(11.8 \%\) annual percentage rate. A partial payment of \(\$ 20,000\) is made 50 days into the loan period. After this payment, what will the remaining balance of the loan be?

2. A simple interest loan for \(\$ 150,000\) is taken out at \(5.85 \%\) annual percentage rate. A partial payment of \(\$ 50,000\) is made 70 days into the loan period. After this payment, what will the remaining balance of the loan be?