1. In order to buy a video games console and software costing 800, a downpayment of 200 was made, the remaining amount paid from a savings account through monthly instalments of 100, paid over a period of N months at the end of every month, interest charged at 4% yearly. (a) Draw the timeline chart. (2 marks) (b) Derive an expression for the return from this savings account, including both principal and interest, at the end of N months. (5 marks) (c) Calculate the amount financed. Now find N such that the savings, including interest, exactly offsets the amount financed for this video games setup. (5 marks) (d) Construct the amortization chart until the end of the third month. In the amortization chart, show Month in column 1, Outstanding Liability in column 2, Interest Paid in column 3, Instalment in column 4 and Principal Repaid in column 5. Interest Paid is defined as interest rate times Outstanding Liability. (4 marks) (e) The video games package was used for 8 months and then sold at the end of the 8th month. If its value depreciates at the rate of 5% compounded monthly, what will be the future value after 8 months (accurate up to 2 deminal points)?