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maths4 quick help

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Question3(4 marks) Joe has $50,000. He invents part of this money in stock A and the rest is saved in the banl at 2% p.a. compounded quartely. At the end of the year, the stock A share has risen by12% .His profit from these investments totals $4003.01.How much was saved in the bank? 更新: Please answer in english Please write the step and round your answer in 2d.p.(如果個answer的小數點後的數字是一樣) 如果如果個answer的小數點後的數字是不一樣,直接寫出來

最佳解答:

Let x be the amount invested in stock A then 50000 - x would be saved in bank 4003.01 = (1 + 12%)x + (50000 - x)(1 + 2%/4)^4 - 50000 4003.01 = 1.12x + (50000 - x)(1.02015) - 50000 4003.01 = 1.12x + 51007.525 - 1.02015x - 50000 0.0815x = 2995.485 x = 36754.42 50000 - x = 13245.58 The amount saved in bank is 13245.58

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