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Question 3 a) A gardener has a task of cutting the grass of a lawn with an area of 1 000 m. On the first day, he cut an area of 16 m. On each successive day, he cuts an area 1.1 times the area that he cut the previous day until the task is completed. Compute the area that is cut on the 10 day and also the number of days needed to complete the task. b) Lim purchased the gadget worth RM 10 000. The price of this gadget is expected to be depreciated by annual depreciation rate ofr%. Lim sold this gadget at the end of sixth year. He experienced the percentage loss of 82.2 % after selling this gadget at the end of sixth year. Compute the value ofr. c) Peter deposited RM 25 000 in a local bank on the first day of January in year 2010. The guaranteed return from the local bank is given at the interest rate per annum compounded every six months. Copy the table and compute the missing values. Accumulated amount at the end of duration (in nearest cents) 26 651.41 Date 30/06/2010 31/12/2010 30/06/2011 31/12/2011 30/06/2012 31/12/2012 30/06/2013 31/12/2013 31/06/2014 33 338.85 d) A vehicle shop brought a machine at the price of RM 10 180. The value of the machine is expected to depreciate by annual depreciation rate 4% over 11 years. The book values of the machine are RM 9 381.89 after 2nd year and RM 7 649.74 after 74 year. Copy the table and compute the missing values. Book value after n-th year (in nearest cents) 9 381.89 n-th year 1 year 2 years 3 years 4 years 5 years 6 years 7 years 7 649.74 By using the reducing balance method, compute (1) the value depreciation in third year, (ii) the book value of the machine after the vehicle shop decided to keep it for the total of 10 year usage