Let L_n be the unpaid balance on a loan with an interest rate of r per term. A payment of P is made at the end of each year. (i) Assuming L_0 to be the original amount borrowed, construct a loan payment model for the unpaid balance at the end of each n years. (ii) Find the balance after 3 years when payments of $500 are made quarterly on an original loan of $9600 with an interest rate of 10.5% per quarter. (iii) Find the balance after 5 years when a payment of $400 is made monthly on an original loan of $20,000 with annual interest of 8%. Let L_n be the unpaid balance on a loan with an interest rate of r per term. A payment of P is made at the end of each year. (i) Assuming L_0 to be the original amount borrowed, construct a loan payment model for the unpaid balance at the end of each n years. (ii) Find the balance after 3 years when payments of $500 are made quarterly on an original loan of $9600 with an interest rate of 10.5% per quarter. (iii) Find the balance after 5 years when a payment of $400 is made monthly on an original loan of $20,000 with annual interest of 8%