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 RM2300 short for this yearTMs tuition fees. His parents have agreed to loan him the money for 5 years at a simple interest rate of 6 percent, with Format : 2450 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 22 when the saving Format : 83476 is transferred to another bank with interest rate of 3% ? (4.5 marks) Q.5.3.a. Didi is considering buying a shoplot in Gemas for RM510000. If she makes a down payment of RM51000 and take out loan on the rest of the shoplot price at 9% compounded monthly, what would be her monthly payment Format : 3723 to settle the loan in 30 years? (4.5 marks) Q.5.3.6. (Refer to Q.5.3.a.) Consider the 34th payment. How much will the principal payment be? (3.5 marks). Format: 466 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 RM97700, an annual operation and maintenance (O&M) cost of RM30000, and a RM38000 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 Format : A 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 10% per year? (Hint: need to acquire a 2nd Robot X to fulfill the 4-year required service period) (10 marks)