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【OG20-P166-131题】
Alex deposited x dollars into a new account that earned 8 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w?
分析A选项
分析B选项
分析C选项
分析D选项
分析E选项
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题目：Alex在一个新账户里存了x美元，每年的利率是8%，一年以后他又另外在账户里面存了x美元。假设没有其他交易，两年后账户余额为w美元，问用w表示x的式子是哪一个。
解：第一年结束后账户余额为x(1+8%)=1.08x；第二年又存了x美元，也就是本金变为1.08x+x，因此第二年结束时账户余额为(1.08x+x)(1+8%)=(1.08+1.082)x=w,因此x=w/(1.08+1.082).
414617qqin
我把2.08*1.08给算出来了，多此一举
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2021-07-26 16:21:01
你这只猪
列方程的时候差点写成2.08，到时候更难算了
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2020-06-17 11:22:26
感觉自己萌萌哒
第一年结束本息时为：x（1+0.08），第二年再存入x，第二年本金为：x（1+0.08）+x；
第二年结束时本息为：[x（1+0.08）+x](1+0.08)=w;
解方程：1.08x+x=w/1.08
x(1.08+1)=w/1.08
x=w/1.08(1.08+1)
x=w/[(1.08)^2+1.08],选D
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2015-12-01 11:30:38
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