davismelissa15md davismelissa15md
  • 23-02-2020
  • Mathematics
contestada

A sound costs $8200 before sales tax. Derrick pays $8938.00 for the sound system, including tax. What is the tax rate where Derrick lives?

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skyluke89
skyluke89 skyluke89
  • 01-03-2020

Answer:

tax rate is 9%

Step-by-step explanation:

The tax rate can be calculated as:

[tex]r=\frac{p-p_0}{p_0}\cdot 100[/tex]

where

p is the price after tax

p0 is the price before tax

For the sound system in this problem, we have:

[tex]p=8938[/tex] (price after tax)

[tex]p_0=8200[/tex] (proce before tax)

Therefore, the tax rate is:

[tex]r=\frac{8938-8200}{8200}\cdot 100=9\%[/tex]

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