## A certain country taxes the first $22,000 of an individual’s income at a rate of 10%, and all income over $22,000 is taxed at 25%. Find a pi

Question

A certain country taxes the first $22,000 of an individual’s income at a rate of 10%, and all income over $22,000 is taxed at 25%. Find a piecewise-defined function T that specifies the total tax on an income of x dollars. (Simplify your answer completely.)

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2021-09-26T05:48:51+00:00
2021-09-26T05:48:51+00:00 1 Answer
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## Answers ( )

Answer:T = {$0.01a if a ≤ $22000$(0.25a – 3300) if a > $22000}Step-by-step explanation:A country taxes the first $22000 of an individual’s income at 10%.

If the income of an individual is = $a.

Tax up-to $22000 will be

= a ×

= $0.01a

Above $22000 tax deducted will be

= (a – 22000)×

= 0.25a – 5500

= $(0.25a – 5500)

Total tax ‘T’ = 0.25a – 5500 + 2200

T = $(0.25a – 3300)Piece-wise function will be

T = {$0.01a if a ≤ $22000$(0.25a – 3300) if a > $22000}