Sect. 4-6 continued Applications of matrices. 7.) Beth has saved $4500. She would like to earn $250 per year by investing the money. She received advice.

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Presentation transcript:

Sect. 4-6 continued Applications of matrices

7.) Beth has saved $4500. She would like to earn $250 per year by investing the money. She received advice about two investment opportunities; a low risk investment that pays 5% annually and a high risk Investment that pays 9% annually a) Write the system of equations that can be solved to find the amount to invest in each type of investment

Write as a matrix equation 7.) continued b) How much should Beth invest in each type of investment to earn her annual goal? c) How much should Beth invest in each type of investment to earn $325?

8.) The perimeter of a rectangular swimming pool Is 60 feet. The length is 8 feet longer than the width. Write as a matrix equation a) Find the dimensions of the pool b) Find the area of the pool

9.) A chemist is preparing a solution to be used as a cleaner. The solution needs to be a 48% concentration. She has 60% concentration and 40% concentration solutions. The two can be combined in some ratio to make the 48% ratio. How much of each is needed to make 200 mL of solution?

Pre-Image Rotated 45 o Rotated 90 o and Doubled Points Matrix Image Animation x = Computer Animation

Homework Practice 4-6