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# help asap plz

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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.)

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

Mar 8, 2019

### Best Answer

#1
+19908
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Income x thousands        tax = x * x%

Take home is     x -   x (x/100) =   -x^2/100 + x         Max will be at   -b/2a =  - 1/(2* (-1/100))    =    50  = x    = $50 000 Mar 8, 2019 ### 2+0 Answers #1 +19908 0 Best Answer Income x thousands tax = x * x% Take home is x - x (x/100) = -x^2/100 + x Max will be at -b/2a = - 1/(2* (-1/100)) = 50 = x =$50 000

ElectricPavlov Mar 8, 2019
#2
+106533
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Nice, guest   !!!!

CPhill  Mar 8, 2019