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  3. In a certain conservative mutual fund, 70 percent of the money is invested in bonds, and of that portion, 40 percent is invested

In a certain conservative mutual fund, 70 percent of the money is invested in bonds, and of that portion, 40 percent is invested

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问题 In a certain conservative mutual fund, 70 percent of the money is invested in bonds, and of that portion, 40 percent is invested in highly rated corporate bonds. If at least $1.4 million in this fund is invested in highly rated corporate bonds, what is the smallest possible total value for the mutual fund?
选项 A、$4 million
B、$5 million
C、$6 million
D、$7 million
E、$8 million
答案B
解析 If 40 percent of the amount invested in bonds is invested in highly rated corporate bonds, then the total amount invested in bonds is $1.4 million times 10/4 = $3.5 million. $3.5 million in bonds is 70 percent of the total fund, so the total fund is $3.5 million times 10/7 = $5 million.
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