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HSC General Mathematics 2009 Quick Answers Disclaimer Section 2 These answers are intended as a quick guide only. To save space there are no worked solutions or diagrams. For greater detail please refer to fully worked solutions. Question 23 (a) (ii) 17°. (b) (i) 10 000 1 (ii) 2000 or 0.0005 or 0.05%. Section 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C C C A D A A D C B B C B D D A C B B B D A (c) (i) 13.77 m2. (ii) $880. € (d) (i) $12.50 (ii) $3 Question 24 (a) (i) 78 (ii) 46. (b) (i) $8 million. (ii) $4 million. (c) Many possible answers. For example, the government might decide to open a new school in an area with a large number of school age children. (d) (i) € y = −x + 200 or x + y = 200 . (ii) Because the maximum number of pairs of boots made each week is 120, and€the maximum number of pairs of sandals made each week is 150. (iii) Profit at B is $3450 and the profit at C is $4080. The profit is greater at C. (e) (i) $1200 (ii) Each year the computer would be 30% less than the year before, which will always be a positive amount, and therefore it will never be worth nothing. © pasthsc.com.au HSC General Mathematics 2009 Quick Answers Question 25 Question 27 (a) (i) −2x − 9 (a) (i) $32 342. (ii) $50 000. (b) 2 × 10 −8 grams. € (c) (i) 508 m2. € (iii) $285.70 (ii) 76 200. (b) (i) 312°. (d) (i) 21.6°C. (ii) Approximately 2.8 km. (ii) 83.85% of spring days. (iii) Approximately 2.3 km2. (c) Mary. (0.02 compared to 0.0199) Question 26 (a) (i) 4 hours. Question 28 (ii) 75% of girls. (a) (ii) 54 metres. (iii) If 25% of boys was the same as 25% of girls, which is when the total number of boys and girls are the same. (b) (i) There is a positive correlation between the height and mass of the child. (ii) M = 0.23H − 8.05 (b) (i) 16 (ii) 1 pm on Tuesday. (c) 17.8 metres. €(d) Yes, Juan is correct. (iii) 8 am on Thursday. (c) (i) $528 000. (ii) A = $1496.50 B = $298 596.50 ⎧ 1.005 240 −1 ⎫ (iii) (1) 300 000 = M ⎨ 240 ⎬ ⎩ 0.005(1.005) ⎭ (2) $2149.29 € © pasthsc.com.au