Question 3 A person amortises a loan of R15000.00 to be repaid by 5 equal monthly payments at an interest rate of 9% compounded monthly. 3.1 table. Construct a complete Amortization Schedule using the headings below for your Mathematics for Finance and Business 1B-MATDCB1 - Assignment 1 - 2020 -3- Periods Principal Outstanding at the Beginning. Interest for the Period. Payment made each Period. Principal Repaid at End. 1 3.2 What was the total financial charge? Question 6 A 6-year loan of R550,000.00 at 12% per year, compounded monthly is to be paid by equal monthly payments. 6.1 Determine the required monthly payment. 6.2 Determine the principal outstanding after the 30th payment. 6.3 Determine the Interest contained in the 50th payment. 6.4 Determine the Principal Contained in the 50th payment. 6.5 Determine the Principal outstanding at the beginning of the 50th payment. 6.6 Determine the total Interest Charged. Question 7 7.1 Find the Present Value of a monthly perpetuity of R3000 at 1.5% interest rate compounded monthly. 7.2 In order for Mr X to replace his machine in the future, He places equal payments into a sinking fund at the end of each year so that after 10 years the amount in the fund is R25 000. The fund earns 6% compounded annually. After 6 six years, the interest rate increases, and the fund pays 7% compounded annually. Because of the high interest rate, Mr X decreases the amount of the remaining payments. Find the amount of the new payment (Round off your answer to the nearest rand) Question 4 An investment of R35 000.00 in a business promises the following cash inflows at the end of the following years: Year 5 6 7 8 Cash flow R13 000.00 R14 000.00 R15 000.00 R16 000.00 If the discount rate is 6% compounded semi-annually, determine the net present value. Question 5 Mr X wants to triple his money using a savings account. Determine the following. 5.1 What nominal rate is required if the money is left in the account for 15 years if the interest is compounded daily. 5.2 For how many years must the money be left in the account if the interest is 5% per year, compounded continuously. 5.3 For how many days must the money be left in the account if the interest is 6.5% per year, compounded daily