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请教几道gwd数学,冥思了好久(3)

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楼主
发表于 2008-6-12 21:08:00 | 只看该作者

请教几道gwd数学,冥思了好久(3)

1、if 10^50-74 is written as an integer in base 10 notation, what is the sum of the digits in that integer? (答案是440,算了很久是458)

2、one kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C=6.5x+8.5y, is x<0.8

(1) y > 0.15

(2) C>= 7.3

3、the annual interest rate earned by an investment increased by 10% from last year to this year. If the annual interest rate earned by investment this year was 1%, what was the annual interest rate last year? (key 9.1%)

第三题盼解答


[此贴子已经被作者于2008-6-13 23:52:25编辑过]
沙发
发表于 2008-6-12 21:43:00 | 只看该作者

1. 10的50次方是1后面50个零,减去74变成51(总位数)-1(减一位)-2(个位和十位)=48个9,1个2,1个6,48*9+2+6=440

2.(1)X可以大于0.8也可以小于0.8,不符合
  (2)代入,当X=0.8,y=0.2时,C=5.2+1.6=6.9,此时C小于等于7.3,又因为Y的价钱更贵,所以X只能小于0.8,c才有可能大于等于7.3   选B

板凳
 楼主| 发表于 2008-6-12 21:56:00 | 只看该作者

明白了,我觉得第二题,解方程可能清楚一些

(2) y=1-x,所以 c=6.5x+8.5(1-x)>=7.3, 方程解得 x<=0.6 所以x<0.8。

请问第三题呢

谢谢 lysun

地板
 楼主| 发表于 2008-6-13 23:54:00 | 只看该作者
第三题啊,盼解答,顶一下,别沉了
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