lisa94017 lisa94017
  • 23-10-2018
  • Mathematics
contestada

An item costs $420 before tax, and the sales tax is$ 16.80 whats the sale tax rate

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nap14hockey
nap14hockey nap14hockey
  • 23-10-2018

We need to set up an equation to solve this problem.  The sales tax is a percentage of the total, so that's what we are looking for.


Let's call S our sales tax

[tex]420\times S[/tex]

So, that's what we are looking for, and we are given the actual sales tax

[tex]420\times S = 16\\S = 16\div420\\S= .0380[/tex]

So now we have a decimal.  In order to convert a decimal into a percentage, we must multiply by 100 (since percentages are out of 100)


[tex].0380\times100=3.8\%[/tex]


The sales tax rate is 3.8%

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