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mr Goodwill [35]
3 years ago
14

A pension fund owns 11,000 shares in a stock mutual fund and a bond mutual fund. Currently the stock fund sells for $12 per shar

e and the bond sells fund sells for $15 per share. How many shares of each does the pension fund own if the value of the securities is $150,000?
Fund owns:
Stock fund shares
Bond fund shares

​
Mathematics
1 answer:
Olenka [21]3 years ago
7 0

9514 1404 393

Answer:

  • 5000 shares of stock fund
  • 6000 shares of bond fund

Step-by-step explanation:

Let b represent the number of shares of the bond fund owned. Then the value of the pension fund is ...

  15b +12(11000-b) = 150000

  3b = 18000 . . . . . . . . . . subtract 130,000

  b = 6000 . . . . . . . . . shares of bond fund

  11000 -b = 5000 . . . shares of stock fund

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arsen [322]
There's two ways to do this.

The first way:
Work out the amount of sugar needed to make one cake, and then multiply that by 7.

30 grams ÷ 4 cakes = 7.5 grams for 1 cake.
7.5 grams × 7 cakes = 52.5 grams for 7 cakes.

The second way:
Work out the ratio of sugar:cake by doing 7 ÷ 4, and then multiplying that value by 30.

7 cakes ÷ 4 cakes = 1.75
1.75 × 30 grams = 52.5 grams for 7 cakes. 

Either way, the answer is 52.5 grams.
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Solve for x leave answer as decimal <br> 6/5=x/3
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Answer:

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Step-by-step explanation:

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Use cross products

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The ratio of a number and 4 times that number is equal to the ratio of 5 times the number and 95 more than a number
il63 [147K]

Answer:

  1/4 = (5n)/(n +95)

Step-by-step explanation:

If all the numbers referred to are the same number, we can use n to represent it. Then, "the ratio of a number and 4 times that number" is n/(4n) = 1/4. "The ratio of 5 times the number and 95 more than the number" is (5n)/(n+95)

The equation for the problem can be written ...

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___

If you're a purist, you might leave the factors of "a number" in the first raio and write it ...

  n/(4n) = (5n)/(95+n)

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