Use a Graphing Calculator and the Method of Matrix Inverses $\$ 4.06$

question 109

Multiple Choice

Use a graphing calculator and the method of matrix inverses to Give five decimal places, if necessary.
-Matt bought 3 pounds of oranges and 2 pounds of apples and paid $\$ 4.06$ , before tax. Andy bought 4 pounds of oranges and 3 pounds of apples and paid \$5.71, before tax. Use this information to set up a matrix equation of the form $\mathrm { AX } = \mathrm { B }$ , which can be solved to determine the price per pound for oras and apples. Solve this matrix equation to find the price per pound of apples.
Use the fact that for $A = \left[ \begin{array} { l l } 3 & 2 \\ 4 & 3 \end{array} \right] , A ^ { - 1 } = \left[ \begin{array} { r r } 3 & - 2 \\ - 4 & 3 \end{array} \right]$ .

• A) \(\$ 0.89\) per pound
• B) \(\$ 0.86\) per pound
• C) \(\$ 0.80\) per pound
• D) \(\$ 0.93\) per pound

Recognize and appreciate the diversity and significance of language traditions, including endangered ones.

Comprehend the unique anatomical and cognitive capabilities that enable human speech.

Grasp the universality of language across human cultures and its biological underpinnings.

Identify different purposes and forms of verbal and non-verbal communication methods in human societies.

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Definitions:

Limitation

A restriction or cap, especially in the context of deductions or benefits in tax terminology.

Organizations

Groups or institutions formed for a specific purpose, often to provide a service or advocate for certain issues.

Miscellaneous Itemized Deduction

Miscellaneous itemized deductions include a variety of expenses that can be deducted when computing taxable income, subject to certain limitations and no longer applicable after recent tax reforms for most taxpayers.

Special Treatment

Preferred or unique handling of certain situations or transactions under laws or regulations, often seen in tax codes.