A proposed Income tax schedule is shown in the table below. if your income is: over $0 47,290 107,800 190,530 230,960 but not over your tax is $47,290 107,800 190,530 230,960 T(x) = 20% $9,458.00+ 27% 21,560.00+ 34% 38,106.00+ 36% 76,212.00 +39.2% of the amount over Show Transcribed Text $0 47,290 107,800 190,530 230,960 (a) Write the piecewise-defined function T with input x that models the tax dollars owed as a function of x, the income, with 0

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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A proposed income tax schedule is shown in the table below.
if your income is:
over
$0
47,290
107,800
190,530
230,960
T(x)=2
but not over your tax is
$47,290
107,800
190,530
230,960
20%
$9,458.00+ 27%
21,560.00+ 34%
38,106.00+ 36%
76,212.00 +39.2%
(a) Write the piecewise-defined function T with input x that models the tax dollars owed as a function of x, the income, with 0<xs 107,800.
if 0<x≤47,290
Show Transcribed Text
of the amount
over
$0
47,290
107,800
190,530
230,960
if 47,290<xs 107,800
(Simplify your answer. Use integers or decimals for any numbers in the expression. Do not include the $ symbol in your answer.)
(b) Use the function to find T(17,000).
T(17,000) $ (Type an integer or a decimal.)
(c) Find the tax owed on an income of $81,000.
T(81,000) $ (Type an integer or a decimal.)
Yes
A
(d) A friend tells you not to earn any money over $47,290 because it would raise your tax rate to 27% on all of your income. Test this statement by finding the tax on $47,290 and
on $47,290+$1.
T(47,290)-S (Type an integer or a decimal.)
T(47.290+1) $ (Type an integer or a decimal.)
Does earning more than $47,290 raise your income tax rate to 27% on all of your income?
C
O No
Transcribed Image Text:A proposed income tax schedule is shown in the table below. if your income is: over $0 47,290 107,800 190,530 230,960 T(x)=2 but not over your tax is $47,290 107,800 190,530 230,960 20% $9,458.00+ 27% 21,560.00+ 34% 38,106.00+ 36% 76,212.00 +39.2% (a) Write the piecewise-defined function T with input x that models the tax dollars owed as a function of x, the income, with 0<xs 107,800. if 0<x≤47,290 Show Transcribed Text of the amount over $0 47,290 107,800 190,530 230,960 if 47,290<xs 107,800 (Simplify your answer. Use integers or decimals for any numbers in the expression. Do not include the $ symbol in your answer.) (b) Use the function to find T(17,000). T(17,000) $ (Type an integer or a decimal.) (c) Find the tax owed on an income of $81,000. T(81,000) $ (Type an integer or a decimal.) Yes A (d) A friend tells you not to earn any money over $47,290 because it would raise your tax rate to 27% on all of your income. Test this statement by finding the tax on $47,290 and on $47,290+$1. T(47,290)-S (Type an integer or a decimal.) T(47.290+1) $ (Type an integer or a decimal.) Does earning more than $47,290 raise your income tax rate to 27% on all of your income? C O No
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