Investment Strategies and Risk Assessment

This lesson demonstrates solving a system of equations using an augmented matrix and reduced row echelon form. It presents a financial scenario where a client wants to invest in stocks and bonds with specific risk and cost constraints. The video guides through setting up equations for risk, cost, and shares, converting them to standard form, and using the Desmos matrix calculator to find the solution. The result is the number of shares to purchase for each investment option.

What is the primary focus of this lesson?

• Solving application problems using systems of equations and matrices

• Learning about stock market trends

• Understanding financial markets

• Solving application problems using calculus

What is the desired average risk level for the client's investment?

• 8.2

• 7.5

• 6.184

• 5.0

How much money does the client have to invest?

• $10000.00

• $8210.56

• $7500.00

• $5000.00

Which stock has a risk level of 9?

• Stock XYZ

• Stock BUS

• Bond SAFE

• Stock MAT

What is the equation for the weighted average risk?

• (9m + 7.6b + 1.8s) = 6.184

• 9m + 7.6b + 1.8s = 0

• (9m + 7.6b + 1.8s) / (m + b + s) = 6.184

• 9m + 7.6b + 1.8s = 6.184

What is the cost equation for the investments?

• 31.21m + 54.95b + 48s = 5000

• 31.21m + 54.95b + 48s = 10000

• 31.21m + 54.95b + 48s = 0

• 31.21m + 54.95b + 48s = 8210.56

How is the equation m = 3b modified to standard form?

• 3m - b = 0

• m - 3b = 0

• m = 3b

• m + 3b = 0

What is the first step in writing equation one in standard form?

• Divide both sides by m + b + s

• Subtract m, b, and s

• Multiply both sides by m + b + s

• Add m, b, and s

What does the first row of the reduced row echelon form indicate?

• b equals 32

• m equals 96

• s equals 72

• m equals 32

How many shares of SAFE should be purchased?

• 48

• 32

• 72

• 96