(b) Simplify the following expression as much as possible: (1+!)44 +(1+z')\"(1+a-)2 + (I + i)36(1+ r)'1 +...+(1+a-)22 Bing Oil company requires an arctic drilling machine and is deciding to purchase it for RM1,500,000 cash or lease for RM180,000 payables at the end of each half-year. The salvage value is RM 100,000 at the end of the machines 6-year life. Maintenance costs are RM10,000 each 6 months, but payable by the lessor, if the machine is leased. If the company can earn 10% on the capital, compounded semi-annually, advise the company whether to lease or buy. (c) A fund is to accumulate RM30,000 with annual deposits of RM1,000 each at the end of each year. Find the number of deposits and the extra deposit required at the final deposit, to accumulate to RM30,000, if interest is at 6.5% p.a. compounded continuously. (d) Joey Tribbiani purchases an annuity payable immediately each year for 12 years. His first annual payment is RM30,000 today and each subsequent payment decreases by RM4,500 until 6 years. After year 6, each payment increases by RM2,250. Calculate the price should Joey purchase the annuity if he wants to earn an annual interest rate of 6%