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On her 17th birthday, Malin is given a choice for her allowance: Choice A: 25 Swiss Franks (CHF) a week until she turns 18. Choice

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On her 17th birthday, Malin is given a choice for her allowance: Choice A: 25 Swiss Franks (CHF) a week until she turns 18. Choice B: 80 CHF the first month, 85 CHF the second month, 90 CHF the third month, etc., with the same increase for all 12 months. Choice C: An initial gift of 1000 CHF with a payment of 25 CHF each of the 12 months. Choice D: An initial deposit of 1200 CHF into an account that pays 10% interest p.a., compounded monthly. a) Write down the total value Malin will receive by the 9th week, if she selects choice A. (1) b) Determine the value she will receive in the last month if she selects choice B. (2) nomomo c) Show that choices A and C pay the same amount over the year. (3) d) Determine which choice pays more, choice B or D? (4) ) Find the difference between the highest paying and the lowest paying option. (2) lalin proposes another choice to her parents. She proposes that they pay her 5 CHF in the fir onth and double their payment each month until she turns 18. () If her parents go with this option, determine how much will they pay her in the fourth mor (2 ) Explain whether her parents are likely to select this option or not. Use numerical values to stify your answer. (3)

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