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As a result of several mergers and acquisitions, stock in four companies has been distributed among the companies. Each row of the following table gives the percentage of stock in the four companies that a particular company owns and the annual net income of each company. Company Percentage of Stock Owned in Company A B C A B C D 86 7 3 4 D 6 7 3 81 9 10 9 3 74 10 84 Annual Net Income Million $ 3.6 4.1 3.8 2.7 So company A holds 86% of its own stock, 6% of the stock in company B, 7% of the stock in company C, etc. For the purpose of assessing a state tax on corporate income, the taxable income of each company is defined to be its share of its own annual net income plus its share of the taxable income of each of the other companies, as determined by the percentages in the table. What is the taxable income of each company (to the nearest thousand dollars)? Use the variables x₁ to represent taxable income of company A, x₂ to represent taxable income of company B, x3 to represent taxable income of company C, and x4 to represent taxable income of company D, and write the system of equations that can be used to find all of the taxable incomes in millions of dollars. The equation that represents the calculation of company A's taxable income is. The equation that represents the calculation of company B's taxable income is. The equation that represents the calculation of company C's taxable income is. The equation that represents the calculation of company D's taxable income is. (Simplify your answers. Use integers or decimals for any numbers in the equations.)

As a result of several mergers and acquisitions, stock in four companies has been distributed among the companies. Each row of the following table gives the percentage of stock in the four companies that a particular company owns and the annual net income of each company. Company Percentage of Stock Owned in Company A B C A B C D 86 7 3 4 D 6 7 3 81 9 10 9 3 74 10 84 Annual Net Income Million $ 3.6 4.1 3.8 2.7 So company A holds 86% of its own stock, 6% of the stock in company B, 7% of the stock in company C, etc. For the purpose of assessing a state tax on corporate income, the taxable income of each company is defined to be its share of its own annual net income plus its share of the taxable income of each of the other companies, as determined by the percentages in the table. What is the taxable income of each company (to the nearest thousand dollars)? Use the variables x₁ to represent taxable income of company A, x₂ to represent taxable income of company B, x3 to represent taxable income of company C, and x4 to represent taxable income of company D, and write the system of equations that can be used to find all of the taxable incomes in millions of dollars. The equation that represents the calculation of company A's taxable income is. The equation that represents the calculation of company B's taxable income is. The equation that represents the calculation of company C's taxable income is. The equation that represents the calculation of company D's taxable income is. (Simplify your answers. Use integers or decimals for any numbers in the equations.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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As a result of several mergers and acquisitions, stock in four companies has been distributed among the companies. Each row of the following table gives the percentage of stock in the four companies that a particular company owns and the annual net income of each company. Company Percentage of Stock Owned in Company A B C ABCD 86 7 3 (O 6 81 9 4 D 7 3 9 10 w 74 10 84 3 Annual Net Income Million $ 3.6 4.1 3.8 2.7 So company A holds 86% of its own stock, 6% of the stock in company B, 7% of the stock in company C, etc. For the purpose of assessing a state tax on corporate income, the taxable income of each company is defined to be its share of its own annual net income plus its share of the taxable income of each of the other companies, as determined by the percentages in the table. What is the taxable income of each company (to the nearest thousand dollars)? Use the variables x₁ to represent taxable income of company A, x₂ to represent taxable income of company B, x3 to represent taxable income of company C, and x4 to represent taxable income of company D, and write the system of equations that can be used to find all of the taxable incomes in millions of dollars. The equation that represents the calculation of company A's taxable income is The equation that represents the calculation of company B's taxable income is The equation that represents the calculation of company C's taxable income is The equation that represents the calculation of company D's taxable income is (Simplify your answers. Use integers or decimals for any numbers in the equations.)
Transcribed Image Text:As a result of several mergers and acquisitions, stock in four companies has been distributed among the companies. Each row of the following table gives the percentage of stock in the four companies that a particular company owns and the annual net income of each company. Company Percentage of Stock Owned in Company A B C ABCD 86 7 3 (O 6 81 9 4 D 7 3 9 10 w 74 10 84 3 Annual Net Income Million $ 3.6 4.1 3.8 2.7 So company A holds 86% of its own stock, 6% of the stock in company B, 7% of the stock in company C, etc. For the purpose of assessing a state tax on corporate income, the taxable income of each company is defined to be its share of its own annual net income plus its share of the taxable income of each of the other companies, as determined by the percentages in the table. What is the taxable income of each company (to the nearest thousand dollars)? Use the variables x₁ to represent taxable income of company A, x₂ to represent taxable income of company B, x3 to represent taxable income of company C, and x4 to represent taxable income of company D, and write the system of equations that can be used to find all of the taxable incomes in millions of dollars. The equation that represents the calculation of company A's taxable income is The equation that represents the calculation of company B's taxable income is The equation that represents the calculation of company C's taxable income is The equation that represents the calculation of company D's taxable income is (Simplify your answers. Use integers or decimals for any numbers in the equations.)
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