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Tamara has $30,000, part or all of which she wants to invest into a combination of corporate bonds and municipal bonds. She wants to invest no less than $8,000 into corporate bonds, and at least three times as much into corporate bonds than into municipal bonds. Let x be the amount invested in corporate bonds, and let y be the amount invested in municipal bonds. Which system of inequalities describes Tamara’s investment options?

Respuesta :

Answer:

The system of inequalities describes Tamara’s investment options are as follows:

[tex]8000\leq x[/tex]

[tex]3y\leq x[/tex]

Step-by-step explanation:

Total amount with Tamara = $30,000

Let [tex]x[/tex] be the amount invested in corporate bonds, and let [tex]y[/tex] be the amount invested in municipal bonds.

She wants to invest no less than $8,000 into corporate bonds.

So, the inequality is [tex]8000\leq x[/tex]    

Also, she wants to invest at least three times as much into corporate bonds than into municipal bonds.

[tex]3y\leq x[/tex]    

The system of inequalities describes Tamara’s investment options are as follows:

[tex]8000\leq x[/tex]

[tex]3y\leq x[/tex]

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