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| Question 1163409:  The Canada in 2019 had five federal income tax brackets, with rates of 15%, 20.5%, 26%, 29% and 33%. If you fall into the 33% bracket, that doesn’t mean that the entirety of your taxable income will be subject to a 33% tax. Instead, 33% is your top marginal tax rate.
 
 FEDERAL TAX BRACKETS 2018  -  2019	Tax rate (%)
 $46,605 or less	                              15
 $46,605 to $93,208	                      20.5
 $93,208 to $144,489	                      26
 $144,489 to $205,842	                      29
 More than $205,842	                      33
 a)	Create a Mathematical Model that represents the aforementioned information to calculate the annual income tax.
 b)	How much annual income tax you will have to pay if your monthly taxable income is $ 12,000.
 
 Answer by Theo(13342)
      (Show Source): 
You can put this solution on YOUR website! annual taxable income formula: 
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 if your taxable income is:
 
 $46,605 or less, than your tax is annual taxable income * 15%
 
 $46,605 to $93,208, than your tax is 20.5% * (annual taxable income - $46,605) + 15% * $46,605
 
 $93,208 to $144,489, than your tax is 26% * (annual taxable income - $93,208) + 15% * $46,605 + 20.5% * ($93,208 - $46,605)
 
 $144,489 to $205,842, than your tax is 29% * (annual taxable income - $144,489) + 15% * $46,605 + 20.5% * ($93,208 - $46,605) + 26% * ($144,489 - $93,208)
 
 More than $205,842, than your tax is 33% * (annual taxable income - $205,842) + 15% * $46,605 + 20.5% * ($93,208 - $46,605) + 26% * ($144,489 - $93,208) + 29% * ($205,842 - $144,489)
 
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 the above are the mathematical formulas involved.
 
 the tax table applies the mathematical formulas for you, so that what you see is:
 
 if your taxable income is:
 
 $46,605 or less, than your tax is annual taxable income * 15%
 
 $46,605 to $93,208, than your tax is 20.5% * (annual taxable income - $46,605) + $6,990.75
 
 $93,208 to $144,489, than your tax is 26% * (annual taxable income - $93,208) + $16,544.37
 
 $144,489 to $205,842, than your tax is 29% * (annual taxable income - $144,489) + $29,877.43
 
 More than $205,842, than your tax is 33% * (annual taxable income - $205,842) + $47,669.80
 
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 if your monthly taxable income is $12,000, then your annual taxable income will be 12 * $12,000 = $144,000.
 
 since you are in the tax bracket of $93,208 to $144,489, then your tax is 26% * ($144,000 minus $93,208) + $16,544.37 = $29,750.29
 
 
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