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dimulka [17.4K]
2 years ago
8

Find the indicated probability.

Mathematics
1 answer:
Nataliya [291]2 years ago
5 0
<span>The events included here are non-mutually exclusive. this means the two have common elements that exist between them. The general addition rule that applies to the given data is as follows:

P(A or B) = P(A) + P(B) - P(A and B)
 0.3 = </span><span>P(A) + 0.5 - 0.6  
</span><span>P(A) = 0.4
</span>

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Arvin has $10000 to invest. He invests part in a term deposit paying 5%/year, and the remainder in Canada savings bonds paying 3
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Answer:

$4,562.5

Step-by-step explanation:

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Let, <em>x</em>, represent the amount Arvin invested in the term deposit and let, <em>y</em>,<em> </em>represent the amount he invested in Canada savings bonds, we can get the following system of equations

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Making <em>y</em> the subject of equation (1) and substituting the value in equation (2), we get;

From equation (1), we get, y = 10,000 - x

Plugging the above value of <em>y</em> in equation (2) gives;

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∴ 0.05·x - 0.034·x + 340 = 413

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<em>(y = 10,000 - x</em>

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<em>The amount Arvin invested in Canada savings bonds, y = $5,437.5.)</em>

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