Charlene lives in Wyoming and pays 4% in sales tax. She bought a garbage disposal, and the amount she paid after sales tax was applied was $818.42. What was the approximate cost of the garbage disposal before sales tax was applied?

Respuesta :

818.42/104*100=$786.9407692 is your answer. Round at your convenience.

Answer:  $ 786.94

Step-by-step explanation:

Given: The tax percentage = 4%=0.04

The amount she paid after sales tax was applied = $818.42.

Let x be the cost of the garbage disposal before sales tax was applied.

Then , the tax amount will be :-

[tex]\text{tax perecent*x}=0.04\timesx=0.04x[/tex]

Then the total cost of  garbage disposal after tax will be :-

[tex]x+0.04x=818.42\\\\\Rightarrow\ 1.04 x=818.42\\\\\Rightarrow\ x=\dfrac{818.42}{1.04}=786.942307692\approx786.94[/tex]

Hence, the approximate cost of the garbage disposal before sales tax was applied= $ 786.94

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