(a) The following are two options for repaying a similar loan: Sixty monthly payments of $100 where the first payment is made on the next month. A single payment of $6000 at the end of n months. The nominal annual rate is 12% compounded monthly. (i) Determine n (round off to the nearest month). (6 marks) (ii) However, the borrower wishes to make a different payment arrangement for the same amount of loan where payment is being made immediately every quarter for three years and each payment is rounded off to the nearest 10$. (A) Calculate the quarterly payment. (6 marks) (B) The final payment, SX is different than the regular payments in order to fully paid off the loan. Determine X