2008 AMC 8 第 9 题
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所有题目均经美国数学协会(MAA)官方合法授权使用。
9.
年,投资大亨塔米投入了 ,为期两年。第一年她的投资亏损 ,但第二年剩余投资增长了 。这两年内塔米的投资变化是多少?
In Tycoon Tammy invested for two years. During the first year her investment suffered a loss, but during the second year the remaining investment showed a gain. Over the two-year period, what was the change in Tammy’s investment?
亏损
loss
亏损
loss
增长
gain
增长
gain
增长
gain
答案:D
小提示:
亏损 后,剩下原投资的
After a loss, of the original investment remains.
大提示:
把 的增长作用在减少后的金额上,而不是原金额上
Apply the gain to the reduced amount, not to the original amount.
解答:
的亏损使投资从 变为 。
的增长再使其变为 。
投资从 变为 ,也就是增长 。
所以正确答案是 D。
The loss changes the investment from to .
The gain then changes it to .
The investment went from to , which is a gain.
Thus, D is the correct answer.
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