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Solve all questions. Show all the workings properly in the workings to be submitted. Q.5.1. Ali wants to buy a used Kancil to commute between his house and the university he's studying in. He finds himself RM2900 short for the downpayment of the car. His parents have agreed to loan him the money for 5 years at a simple interest rate of 6 percent, with Format : 6890 interest due at the end of each year. How much is owed after 5 year? (2.5 marks) Q.5.2. Rara is planning for her retirement starts depositing money now (year 0) and continue through year 14. If she deposits RM5000 each year with an interest rate of 6%, how much will she be able to withdraw each year starting in year 15 and continuing through year Format : 63640 24 when the saving is transferred to another bank with interest rate of 4% ? (4.5 marks) Q.5.3.a. Gewtan is considering buying a shoplot in Cyberjaya for RM630000. If she makes a down payment of RM63000 and take out loan on the rest of the shoplot price at 9% compounded monthly, what would be her monthly payment to settle the loan in 30 years? (4.5 Format : 8944 marks) Format : 400 Q.5.3.b. (Refer to Q.5.3.a.) Consider the 34th payment. How much will the principal payment be? (3.5 marks). Q.5.4. An industrial engineer is considering two robots for improving efficiency in a fibre-optic manufacturing company for a period of 4 years. Robot X will have a first cost of RM93200, an annual operation and maintenance (O&M) cost of RM30000, and a RM32000 salvage value after its useful life of two years. A more sophisticated Robot Y will have a first cost of RM156000, an annual O&M cost of RM28000, and a RM55000 salvage value after its four-year life. Which should be selected on the basis of a future worth at year 4 comparison at an interest rate of 12% per year? (Hint: need to acquire a 2nd Robot X to fulfill the 4-year required service period) (10 marks) Format : A