show all workings please. TIA 1) a) Write down the augmented matrix for the following system...

show all workings please. TIA

1) a) Write down the augmented matrix for the following system of linear equations and solve the system.

3x₁ − 7x₂ + 4x₃ = 10

−x₁ − 2x₂ + 3x₃ = 1

x₁ + x₂ + 2x₃ = 8

b) Jason invested $30 000, splitting it between the three companies Acorn Industries, Balderdash Bank and Chester Challenge. The interest rates were respectively 5%, 6% and 7% per annum. The total annual income (i.e. the sum of the interest payments) was $1700. The income from the investments with Balderdash and Chester was $200 more than the income from the Acorn investment.

Begin by letting the investments with Acorn, Balderdash and Chester be $a, $b and $c respectively

i) Write equations representing three facts about the investments. Discuss your equation as to why it should be this.

ii) Solve this system of equations using an augmented matrix.

iii) How much did Jason invest with each company? Write an answer in words. (Answers to word problems should always be given in words).

Solutions

Expert Solution

Colby Messinger answered 1 year ago

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