11. A debt of $5,555 due 5 month ago and another $8,888 due in 12 month are to be settled by making three equal payment. One at the end of the two months, One at the end of six months and the other at the end of ten months. Find the size of payment using. the seconf month as the focal date. Assuming money is worth 9% per annum simple interest.

12. Four years ago John borrowed $3000 from Arlette. The principal with interest at 10% compounded semi-annually is to be repaid six years from the date of the loan. Fifteen month ago, John borrowed another $1500 for 3 and haly year at 9% compounded quarterly. John is now proposing to settle both debts with two equal payment to be made 2 and 3 and half years from now. what should the payment be if money now earns 8% compounded quarterly.

13. Mathew buys a house for $250,000, He makes a 10% down payment and finances the balance through a bank for 25 years. A. if the interest rate is 7% compounded monthly, find the monthly payment that Mathew has to make to settle the loan. How much is the total interest charged? B. Suppose Mathew misses the first four payments. How much should he pay on the fifth month if he wants to settle the outstanding arrears? C. Immediately after paying for 15 years, Mathwe wants to settle the loan in full, How much is the amount he needs to pay?

14. Nania bough a piece of land for $150,000, She made an initial down payment of $40,000 and the balanced is financed through a bank. For the repayment of the bank loan, She has to pay $1975.50 a month. A) If the bank rate is 12% compounded monthly, Find the number of monthly payment that will settle the loan. B) If Nania intends to settle the loan by making a final payment immediately after paying the first 40 monthly payment, Find the value of this payment. What is the total interest payment she has to pay? C) If Nania intends to settle the loan by making a final payment on the 41st payment immediately after paying the first 40 monthly payments, Find the value of this payment.

15a. What is an annuity?

b. Fatimah purchased a house costing $450,000. She made a down payment of 10%, The balance was borrowed from Capital one bank which charges 9% compounded monthly. to setle the loan, Fatimah had to make equal monthly payment for 15 years.

i) How much is the down payment ii) Find Fatimah's Monthly payment iii) Find the total interst that she has to pay.