Below are the tax rates for NZ for the 2023 - 2024 tax year. Income Tax Rate $0 - $14,000 10.5% $14,001 - $48,000 17.5% $48,001 - $70,000 30% $70,001 - $180,000 33% $180,001 + 39% So, if for example, a person earned $20,000 per annum, the first $14,000 would be taxed at 10.5%, and then the remaining $6000 would be taxed at 17.5%, giving a tax bill of $14,000 × .105 + $6,000 × .175 = $2,520. (a) Use the information above to write a piecewise function that takes as input the amount a person earns in a year and outputs the amount of tax they pay over the year. (b) Use your answer from (a) to calculate how much tax a person would pay if they are earning $80,000 per year.

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ISBN:9780470458365
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Below are the tax rates for NZ for the 2023 - 2024 tax year. Income Tax Rate $0 - $14,000 10.5% $14,001 - $48,000 17.5% $48,001 - $70,000 30% $70,001 - $180,000 33% $180,001 + 39% So, if for example, a person earned $20,000 per annum, the first $14,000 would be taxed at 10.5%, and then the remaining $6000 would be taxed at 17.5%, giving a tax bill of $14,000 × .105 + $6,000 × .175 = $2,520. (a) Use the information above to write a piecewise function that takes as input the amount a person earns in a year and outputs the amount of tax they pay over the year. (b) Use your answer from (a) to calculate how much tax a person would pay if they are earning $80,000 per year.

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