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Orlov [11]
2 years ago
11

What is the quotient of 75 divided by 4

Mathematics
1 answer:
kozerog [31]2 years ago
3 0
The quotient of 75 divided by 4 is 18.75, or 18 \frac{3}{4}
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The answer can be readily calculated using a single variable, x:

Let x = the amount being invested at an annual rate of 10%
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The problem is then stated as:

(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
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0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
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Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
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