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标题: 求助 数学 OG 12-128和138 两道题 [打印本页]

作者: cyang16    时间: 2009-11-19 23:32
标题: 求助 数学 OG 12-128和138 两道题
128. If money is invested at r percent interest, compounded
   annually, the amount of the investment will double    
 in approximately  70/r   years. If Pat’s parents invested
 $5,000 in a long-term bond that pays 8 percent
interest, compounded annually, what will be the
approximate total amount of the investment 18 years
later, when Pat is ready for college?
(A)    $20,000
(B)    $1 5,000
(C)    $1 2,000
(D)    $1 0,000
(E)    $ 9,000
这题答案是A, 题目意思是什么?复利计算有没有公式?



138 At a loading dock, each worker on the night crew
loaded 3/4   as many boxes as each worker on the day
crew. If the night crew has 4/5 as many workers as the
day crew, what fraction of all the boxes loaded by the
two crews did the day crew load?
   (A) 1/2
   B) 2/5
  C)3/5
  D)4/5
  E) 5/8
   这题实在看不懂后面解释。特别是问题也不理解
作者: keaneice    时间: 2009-11-20 00:18
128. If money is invested at r percent interest, compounded
   annually, the amount of the investment will double    
 in approximately  70/r   years. If Pat’s parents invested
 $5,000 in a long-term bond that pays 8 percent
interest, compounded annually, what will be the
approximate total amount of the investment 18 years
later, when Pat is ready for college?

如果复利投资,总投资会在大概70/r这么多年的时候翻倍,如果这个p投了5000,8%复利,18年后大概有多少了?
(A)    $20,000
(B)    $1 5,000
(C)    $1 2,000
(D)    $1 0,000
(E)    $ 9,000
这题答案是A, 题目意思是什么?复利计算有没有公式?

复利公式  总额=本金*(1+利率)^n (n为年数)


138 At a loading dock, each worker on the night crew
loaded 3/4   as many boxes as each worker on the day
crew. If the night crew has 4/5 as many workers as the
day crew, what fraction of all the boxes loaded by the
two crews did the day crew load?

一个装卸码头,每个夜班工人能装白班工人3/4的货,如果夜班工人人数是白班的4/5,那么白班工人装的是货是白加黑总和的多少?
   (A) 1/2
   B) 2/5
  C)3/5
  D)4/5
  E) 5/8
   这题实在看不懂后面解释。特别是问题也不理解
-- by 会员 cyang16 (2009/11/19 23:32:52)

作者: 赋格    时间: 2009-11-20 00:26
复利S=A(1+r%)^y   A表示初始投入资金,r表示收益率,y表示年数。而且每过70/r年翻一倍(知道中国的GDP大概每过7年翻一倍的原因了吧)。8%的收益率意味着大概每9年翻一倍,18年刚刚翻两倍,即5000--10000-20000,你也可以用复利公式,考虑到18次方计算很费时,题目才给出那个近似翻倍公司。

第二个题目有两个条件晚上VS白天--效率之比3:4,人数之比4:5,要求两队白天的装卸量比上总的装卸量。
白天:10个人每人8个盒子=80,晚上8个人每人6个盒子=48
fractiion=80/(80+48)=5/8
作者: cyang16    时间: 2009-11-20 00:32
复利S=A(1+r%)^y   A表示初始投入资金,r表示收益率,y表示年数。而且每过70/r年翻一倍(知道中国的GDP大概每过7年翻一倍的原因了吧)。8%的收益率意味着大概每9年翻一倍,18年刚刚翻两倍,即5000--10000-20000,你也可以用复利公式,考虑到18次方计算很费时,题目才给出那个近似翻倍公司。

第二个题目有两个条件晚上VS白天--效率之比3:4,人数之比4:5,要求两队白天的装卸量比上总的装卸量。
白天:10个人每人8个盒子=80,晚上8个人每人6个盒子=48
fractiion=80/(80+48)=5/8
-- by 会员 赋格 (2009/11/20 0:26:15)





全明白了,谢谢大家了。而且LS还有详细步骤!!感谢啊感谢!




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