Sally went to the store and purchased 4 skirts, 4 dresses and 5 shirts. Anna went to the store and purchased 3 skirts, 3 dresses and 6 shirts.Each skirt costs $10, each dress cost $15, and each shirt costs $16.a) Write a 2 × 3 matrix summarizing the purchases made by Sally and Anna. (Keep the order of information).b) Write a 3 x 1 matrix summarizing the cost (in dollars) of the items. (Keep the order of information).c) Use matrix multiplication to find a 2 × 1 matrix summarizing the total amount (in dollars) spent by Sally and Anna.

The given data is: Sally went to store and purchased 4 skirts, 4 dresses, and 5 shirts Anna went to…

Answered: Sally went to the store and purchased 4…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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On Monday, Sarah picked up lunches for her friends and spent $17.30 on 3 tofu banh mi and 2 bubble teas. On Friday she spent $26.75 on 5 tofu banh mi and 3 bubble teas. Set up a system of two linear equations to represent this situation, then write down the associated augmented matrix for this system. Do not solve this system.
Write the following system of equations as an augmented matrix in echelon form.
You have space in your garden for 55 small flowering bulbs. Crocus bulbs cost $0.55 each and daffodil bulbs cost $0.95 each. Your budget allows you to spent $41.85 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy? Write a system of equations to represent the situation. Solve using matrices. Write the matrix and inverse equations.
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A small software corporation borrowed $292,500 to expand its software line. Some of the money was borrowed at 9%, some at 10%, and some at 12%. Use a system of equations to determine how much was borrowed at each rate if the annual interest was $29,900 and the amount borrowed at 10% was 22 times the amount borrowed at 9%. Solve the system using matrices. Step 1 Let the amount borrowed at 9% be x, the amount borrowed at 10% be y, and the amount borrowed at 12% be z. The total amount borrowed was $292,500. The total annual interest was $29,900. The amount borrowed at 10% was 2- times the amount borrowed at 9%. Write a set of equations using the information given. Convert the percentage to decimal fraction. x + y + z = 292,500 .09 x +.10 y + |.12 V z = 29,900 X x - y = 0 Write the associated augmented matrix for the given system of equations. Recall that since there are three equations in the system, the matrix will have three rows. Use the coefficients of x, y and z as entries of the…
What volume of each of a 5% acid solution and a 65% acid solution should be combined to form 46 ml of a 50% solution? Set up the appropriate equations and solve the system using the inverse of the coefficient matrix. Combine O ml of the 5% acid solution withO mL of the 65% acid solution to form 46 mL of a 50% solution. (Type integers or decimals. Round the final answers to two decimal places as needed. Round all intermediate values to two decimal places as needed.)

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