標題:
Maths F4....24
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Question link : http://img838.imageshack.us/img838/6493/q11b.jpg *要解釋/步驟...THX:)* * 24a ans : $50 000(1.002) ^ n 更新: Question link : http://img838.imageshack.us/img838/6493/q11b.jpg
最佳解答:
24. (a) The amount she will get after n months = $50000*[1 + (2.4/12)%]^n = $50000*1.002^n (b) Interest > 8% * Principal (Amount - Principal) > 8% * Principal 50000*1.002^n - 50000 > 8% * 50000 50000(1.002^n - 1) > 50000 * 0.08 1.002^n - 1 > 0.08 1.002^n > 1.08 log1.002^n > log1.08 n*log1.002 > log1.08 n > log1.08/log1.002 n > 38.52 Hence, it is at least 39 months later. ===== 25. (a) "Original" means t = 0 The original number of bacteria = 40 * (2.03)^0 = 40 (b) 2 hours = 2 * 60 min = 120 min The number of bacteria after 2 hours = 40 * (2.03)^(0.02*120) = 219 (c) Percentage change = [(New value - Original value)/Original value] * 100% = [(219 - 40)/40] * 100% = 448%
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