Questions and Answers
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?
$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?
Region 3
What system of inequalities models Sam's investments to earn at least $20,000 while keeping $50,000 cash?
Signup and view all the answers
What is a solution to the equation 3x - 2y + z = 12?
Signup and view all the answers
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).
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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!
