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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?


x + y ≤ 30,000
x ≤ 8,000
x ≥ 3y


x + y ≤ 30,000
x ≥ 8,000
x ≥ 3y


x + y ≤ 30,000
x ≥ 8,000
x ≤ 3y


x + y ≤ 30,000
x ≤ 8,000
x ≤ 3y



Answer :

semsee45

Answer:

B)  x + y ≤ 30,000

     x ≥ 8,000

     x ≥ 3y

Step-by-step explanation:

Definition of the variables:

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

If Tamara has $30,000 and part or all of which she wants to invest into a combination of corporate bonds and municipal bonds, then the sum of the investments in the two bonds will be less than or equal to $30,000:

  • x + y ≤ 30,000

If Tamara wants to invest no less than $8,000 into corporate bonds, then the amount invested in corporate bonds (x) will be greater than or equal to $8,000:

  • x ≥ 8,000

If Tamara wants to invest at least three times as much into corporate bonds than into municipal bonds, then the amount invested in corporate bonds (x) will be greater than or equal to 3 times the amount invested in municipal bonds (y):

  • x ≥ 3y

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