In a certain country, the tax on incomes less than or equal to €20,000 is 20%. For incomes that are more than €20,000, the tax is €4000 plus 40% of the amount over €20,000. (a) Find a function f that gives the income tax on an income x in €. Express fas a piecewise defined function. if 0 sxs 20,000 if x > 20,000 (b) Find f if 0sxs 4000 (x) = if x > 4000 What does f represent? OF1 represents the taxpayers' income under €20,000 when x dollars are paid in taxes. OF! represents the taxpayers' income over €20,000 when x dollars are paid in taxes. O F! represents the taxpayers' tax rate when their income is x dollars. OF! represents the taxpayers' total income tax when their income is x dollars. Of-! represents the taxpayers' income when x dollars are paid in taxes. (c) How much income would require paying a tax of €10,000?
In a certain country, the tax on incomes less than or equal to €20,000 is 20%. For incomes that are more than €20,000, the tax is €4000 plus 40% of the amount over €20,000. (a) Find a function f that gives the income tax on an income x in €. Express fas a piecewise defined function. if 0 sxs 20,000 if x > 20,000 (b) Find f if 0sxs 4000 (x) = if x > 4000 What does f represent? OF1 represents the taxpayers' income under €20,000 when x dollars are paid in taxes. OF! represents the taxpayers' income over €20,000 when x dollars are paid in taxes. O F! represents the taxpayers' tax rate when their income is x dollars. OF! represents the taxpayers' total income tax when their income is x dollars. Of-! represents the taxpayers' income when x dollars are paid in taxes. (c) How much income would require paying a tax of €10,000?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:In a certain country, the tax on incomes less than or equal to €20,000 is 20%. For incomes that are more than €20,000, the tax is €4000 plus 40% of the amount over €20,000.
(a) Find a function f that gives the income tax on an income x in €. Express fas a piecewise defined function.
if 0 sxs 20,000
if x > 20,000
(b) Find f
if 0sxs 4000
(x) =
if x > 4000
What does f represent?
OF1 represents the taxpayers' income under €20,000 when x dollars are paid in taxes.
OF! represents the taxpayers' income over €20,000 when x dollars are paid in taxes.
O F! represents the taxpayers' tax rate when their income is x dollars.
OF! represents the taxpayers' total income tax when their income is x dollars.
Of-! represents the taxpayers' income when x dollars are paid in taxes.
(c) How much income would require paying a tax of €10,000?
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