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gwd 7-28

这一题不解,可否有牛牛给解答一下。谢了。

Q28:

This year Henry will save a certain amount of his income, and he will

spend the rest.  Next year Henry will have no income, but for each

dollar that he saves this year, he will have 1 + r dollars available

to spend.  In terms of r, what fraction of his income should Henry

save this year so that next year the amount he was available to spend

will be equal to half the amount that he spends this year?

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设今年save x刀,花了y刀,那么根据题目来年的花销是x(1+r)=y/2即y=2x(1+r)

题目要求的那个分数值就是x/(x+y)=x/[x+2x(1+r)]=1/(3+2r)

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I  got  it ,  thanks !!!!!!

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