Income Tax In a certain country the tax on incomes less than or equal to €20,000 is 10%. For incomes that are more than €20,000 the tax is €2000 plus 20% of the amount over €20,000. (a) Find a function f that gives the income tax on an income x. Express f as a piecewise defined function. (b) Find f. What does f' represent? (c) How much income would require paying a tax of €10,000?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Income Tax In a certain country the tax on incomes less
than or equal to €20,000 is 10%. For incomes that are more
than €20,000 the tax is €2000 plus 20% of the amount over
€20,000.
(a) Find a function f that gives the income tax on an
income x. Express f as a piecewise defined function.
(b) Find f. What does f' represent?
(c) How much income would require paying a tax of
€10,000?
Transcribed Image Text:Income Tax In a certain country the tax on incomes less than or equal to €20,000 is 10%. For incomes that are more than €20,000 the tax is €2000 plus 20% of the amount over €20,000. (a) Find a function f that gives the income tax on an income x. Express f as a piecewise defined function. (b) Find f. What does f' represent? (c) How much income would require paying a tax of €10,000?
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