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?

Question

Mathematics

Allen Clarke

2 January, 02:14

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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Payton · Answer 1

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