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Questions and Answers
What is the solution to the system of equations 3x - 7y = 43 and x + 2y = -3?
What is the solution to the system of equations 3x - 7y = 43 and x + 2y = -3?
(5,-4)
How much should Lew invest in the municipal bond fund and bank CDs to generate $7500 a year?
How much should Lew invest in the municipal bond fund and bank CDs to generate $7500 a year?
$100,000 in the bond fund and $200,000 in CDs
Which region represents the solution to the system of inequalities 6x + 4y ≤ 12 and 2x - 4y ≥ 8?
Which region represents the solution to the system of inequalities 6x + 4y ≤ 12 and 2x - 4y ≥ 8?
Region 3
What system of inequalities models Sam's investments to earn at least $20,000 while keeping $50,000 cash?
What system of inequalities models Sam's investments to earn at least $20,000 while keeping $50,000 cash?
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What is a solution to the equation 3x - 2y + z = 12?
What is a solution to the equation 3x - 2y + z = 12?
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Study Notes
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).
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Description
Test your understanding of systems of equations with this quiz from BJU Algebra 2 chapter 3. The quiz covers techniques for solving linear equations and practical application in investment scenarios. Challenge yourself with various problems to improve your algebra skills!
