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In a certain conservative mutual fund, 70 percent of the money is inv 30 Jul 2016, 03:02
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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?

A. $4 million

B. $5 million

C. $6 million

D. $7 million

E. $8 million
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B
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In a certain conservative mutual fund, 70 percent of the money is inv 30 Jul 2016, 04:24
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Let x be the total money or value of the mutual fund.
Money in bonds=0.7x
Money in highly rated corporate bond= 0.4*0.7x=0.28x

0.28x > 1.4m

x > 1.4m/0.28 ; x > 140m/28 ; x>10m/2 ;
so x > 5m
Smallest value is $ 5 million. .>>>> My answer B.
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In a certain conservative mutual fund, 70 percent of the money is inv 17 May 2017, 05:10
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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?

70% of Total value is invested in bonds
Highly rated corporate bonds = 40% of 70% of money invested in bonds = \(\frac{40}{100}\) x \(\frac{70}{100}\) x Total value
$1.4 million is invested in highly rated corporate bonds.
Therefore ; \(\frac{40}{100}\) x \(\frac{70}{100}\) x Total value = $1.4 million
Total Value = \(\frac{$1.4 million *100* 100}{40 * 70}\) = $ 5 million
Answer B...

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In a certain conservative mutual fund, 70 percent of the money is inv 19 May 2017, 06:27
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Bunuel
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?

A. $4 million

B. $5 million

C. $6 million

D. $7 million

E. $8 million
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We can let the total money in the fund = x. Since 70% of the money is invested in bonds, 0.7x is invested in bonds. Since 40% of 70% is invested in highly rated corporate bonds, (0.4)(0.7)x is invested in highly rated corporate bonds. We can create the following inequality:

(0.4)(0.7)x ≥ 1,400,000

0.28x ≥ 1,400,000

x ≥ 1,400,000/0.28

x ≥ 5,000,000

Thus, the smallest possible value for the mutual fund is $5,000,000.

Answer: B
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In a certain conservative mutual fund, 70 percent of the money is inv 20 May 2017, 00:13
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40% of 70% of a number = 40/100 * 70/100 = 28/100 = 28% of that number

Least value of corporate bonds = $1.4 million = 28% of mutual fund
28% of fund = $1.4 million
Total fund = 1.4/0.28 = $5 million

Hence B
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In a certain conservative mutual fund, 70 percent of the money is inv 19 Dec 2023, 08:10
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Bunuel
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?

A. $4 million

B. $5 million

C. $6 million

D. $7 million

E. $8 million
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\(\frac{40}{100}*\frac{70}{100}*m = 1.4\)

Or, \(\frac{2}{5}*\frac{7}{10}*m = 1.4\)

Or, \(\frac{1}{5}*\frac{1}{10}*m = 0.10\)

Or, \(m = 0.10*5*10 = 5\), Answer will be (B)
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In a certain conservative mutual fund, 70 percent of the money is inv 07 Jan 2026, 10:09
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Mutual fund =x
bond = 70%x
highly rated corp bond= 40%(70%X)

40%(70%X)= 1,4
0,4 . 0,7X = 1,4
0,28X=1,4
X= 1,4/0,28 = 5

in conclusion, the smallest possible value of the mutual fund is $5 million
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