4 marks 10 A man accumulated sh 142 210 after investing sh 100000 at a rate of

# 4 marks 10 a man accumulated sh 142 210 after

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(4 marks) 10. A man accumulated sh 142, 210 after investing sh 100,000 at a rate of 18% per annum compounded quarterly. Find the time taken in years to accumulate this amount. (3 marks) 11. Find the value of m is 4x 2 + 17x + 3 +m is a perfect square. (3 marks) 5

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12. Find the shaded area. (4 marks) C B A 13. Prove the identity (sin θ + Cos θ) 2 = 2 + sec θcosec θ. (3 marks) sin θcos θ 14. The sum of the first 3 terms of a G.P is 3l . If its common ratio is 1 / 5 , calculate the sum of the first 8 terms of this series. (3 marks) 6 7cm O
15. Given that OP = 3i + 8j – 3k and OQ = 3i + 2j + 2k, find PQ in terms of i, j and k. (2 marks) 16. The bearing of school dormitories from the administration block is 220 0 and the distance between them is 300m. The school chapel is 140km away on a bearing of 070 0 . Calculate the distance and bearing of the dormitories from the chapel. (3 marks) 7

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SECTION II(50 MARKS) Answer any five from this section in the spaces provided. 17. Income tax is charged on an annual income at the following rates. Taxable income (K£ p.a) Rate, Ksh per £ 1- 2100 2 2101 – 4200 3 4201-6300 5 6301-8400 7 8401 and above 9 Mr Wanjala earns a basic salary of Ksh 20,000 per month. He is housed and pays a nominal rent per month, pays an insurance premium at Ksh 800 per month for which he gets a tax relief of 10% on the total premium paid and his family relief is K£ 320 per year. Calculate his net salary per month. (10 marks) 8

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