Explanation Given: The service charges of the square is 2.9 % of the total sales plus $ .30 per transaction, the total cost for last month was $291 and a competitor to square charges 3% of the total sales plus $ .25 per transaction, the total cost for last month was $295 . Calculation: Let the total sales amount is x and transactions are y . The system equations are, 0.029 x + 0.3 y = 291 0.03 x + 0.25 y = 295 Write it into matrix form as shown below, Coefficient Matrix: A = [ 0.029 0.3 0.03 0.25 ] Matrix of Variables: X = [ x y ] Matrix of Constants: B = [ 291 295 ] Therefore, the matrix equation is, A X = B [ 0.029 0.3 0.03 0.25 ] [ x y ] = [ 291 295 ] The augmented matrix of the matrix A can be written as shown below, [ A | I ] = [ 0.029 0.3 1 0 0.03 0.25 0 1 ] Now use row echelon method for finding inverse of the matrix A , Interchange row 1 and row 2, [ 0.029 0.3 1 0 0.03 0.25 0 1 ] Now perform the operation R 2 − 0.967 R 1 , [ 0.03 0.25 0 1 0 0.0583 1 − 0.967 ] Now perform the operation R 1 − 4.3 R 2 , [ 0

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Chapter 6.6, Problem 15E

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To calculate: The total sales amount and the number of transactions for the online store sales the service charges of the square is 2.9% of the total sales plus $.30 per transaction, the total cost for last month was $291 and a competitor to square charges 3% of the total sales plus $.25 per transaction, the total cost for last month was $295.

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Chapter 6.6, Problem 14E

Chapter 6.6, Problem 16E

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Solution Summary: The author calculates the total sales amount and the number of transactions for the online store sales. The system equations are c0.029x+0.3y=291 0.03x

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