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yaroslaw [1]
3 years ago
14

7x + 3x + 4 = 24 (Given) 10x + 4 = 24 (Simplify) 10x = 20 (?) x = 2 (Division) What is the missing reason for the argument shown

?
Mathematics
1 answer:
xenn [34]3 years ago
4 0

Answer:

Subtraction.  

Step-by-step explanation:

We have been given an expression: 7x+3x+4=24.

Simplify our given expression:

(7+3)x+4=24

10x+4=24

Subtract 4 from both sides of equation:

10x+4-4=24-4

10x=20

Divide both sides of equation by 10:

\frac{10x}{10}=\frac{20}{10}

x=2

Therefore, the missing reason for the shown argument is subtraction.

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A retired woman has $280,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and an
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Answer:

9% fund: $ 210,000

13% fund: $70,000

Step-by-step explanation:

As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:

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If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:

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Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.

This correspond to a capital of:

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3 years ago
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