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In a certain city the rate of taxation is the following: x% tax is collected for an income of x thousand dollars. What income, in dollars, will yield the greatest take home pay? (Take-home pay is the income minus the tax on that income.)

 Jun 28, 2020
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   ... the rate of taxation is the following: x% tax is collected for an income of x thousand dollars.     

   What income, in dollars, will yield the greatest take home pay?     

 

   If x is   1 then net is   1,000 x 99%  =       990     

   If x is 10 then net is 10,000 x 90%  =    9,000     

   If x is 20 then net is 20,000 x 80%  =  16,000     

      x    30                   30,000 x 70%  =  21,000     

      x    40                   40,000 x 60%  =  24,000     

      x    49                   49,000 x 51%  =  24,990     

      x    50                   50,000 x 50%  =  25,000     

      x    51                   51,000 x 49%  =  24,990     

      x    60                   60,000 x 40%  =  24,000     

      x    70                   70,000 x 30%  =  21,000     

   .     

 Jun 21, 2026, 2:57:36 PM

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