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20 October, 17:59

Stephanie has $45,000. Part or all of which she wants to invest into a combination of municipal bonds and corporate bonds. She wants to invest no less than $20,000 into municipal bonds, and at least four times as much into municipal bonds than into corporate bonds. Let x be the amount invested in municipal bonds, and let y be the amount invested in corporate bonds Which system of inequalities describes Stephanie's investment options?

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  1. 20 October, 18:16
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    Step-by-step explanation:

    Let x be the amount invested in municipal bonds, and let y be the amount invested in corporate bonds.

    If Stephanie has $45,000 and she wants to invest part or all into a combination of municipal bonds and corporate bonds, the inequality for this statement would be

    x + y ≤ 45000

    She wants to invest no less than $20,000 into municipal bonds. It means that

    x ≥ 20000

    Also, she wants to invest at least four times as much into municipal bonds than into corporate bonds. This means that

    x ≥ 4y

    x/4 ≥ y

    y ≤ x/4

    The inequalities are

    x + y ≤ 45000

    x ≥ 20000

    y ≤ x/4
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