BJU Algebra 2 Chapter 3 Quiz 2

System of Equations

• To solve the system:
  • 3x - 7y = 43
  • x + 2y = -3
• The solution is (5, -4).

Investment Problem

• Lew's total investment amount: $300,000
• Municipal bond fund interest: 3.5%
• CDs interest: 2%
• Required yearly income: $7,500
• Investment allocations: $100,000 in bond fund and $200,000 in CDs.

Solution Region

• The system of inequalities:
  • 6x + 4y ≤ 12
  • 2x - 4y ≥ 8
• The solution region is denoted as Region 3.

Investment Model for Sam

• Total savings: $500,000
• Cash kept on hand: $50,000
• Targets earning at least: $20,000 in interest
• Interest rates:
  • CDs: 1.5%
  • High dividend mutual fund: 3.25%
• System of inequalities representing investments:
  • x ≥ 0; y ≥ 0; x + y ≤ 450,000; 0.015x + 0.0325y ≥ 20,000.

Solution to Equation

• For the equation 3x - 2y + z = 12, a valid solution is (2, -2, 2).