Solve all questions. Show all the workings properly in the workings to be submitted. Q.5.1. After a summer of travelling (and not working), a student finds himself RM2100 short for this yearTMs tuition fees. His parents have agreed to loan him the money for 3 years at a simple interest rate Format : 8698 of 6 percent, with interest due at the end of each year. (2.5 marks) Q.5.2. An engineer who is planning for his daughterTMs higher education plans to start depositing money now (year () and continue through year 17. If he deposits RM10000 each year with an interest rate of 5%, how much will his daughter be able to withdraw each year starting in year 18 and continuing through year Format : 36832 22 when the saving is transferred to another bank with interest rate of 4% ? (4.5 marks) Q.5.3.a. Didi is considering buying a shoplot in Gemas for RM520000. If she makes a down payment of RM52000 and take out loan on the rest of the shoplot price at 8% compounded monthly, what would be her Format : 3742 monthly payment to settle the loan in 30 years? (4.5 marks) Q.5.3.b. (Refer to Q.5.3.a.) Consider the 34th payment. How much will the principal payment be? (3.5 marks). Format : 452 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 RM94900, an annual operation and maintenance (O&M) cost of RM30000, and a RM39000 salvage value after its useful life of two years. A more sophisticated Robot Y will have a first cost of RM172000, an annual O&M cost of Format : A RM28000, and a RM60000 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)