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Savatey [412]
3 years ago
9

If an item is 4.75 before tax and after is 5.13 how much is the sales tax rate?

Mathematics
2 answers:
Anestetic [448]3 years ago
5 0

Answer:

8%

Step-by-step explanation:

Let's say the tax percent was x%. Then, we can write the equation:

4.75 + x% * 4.75 = 5.13

Notice that both terms on the left have 4.75 so factor that out:

4.75 * (1 + x%) = 5.13

Divide both sides by 4.75:

1 + x% = 5.13/4.75 = 1.08

Subtract 1 from both sides:

x% = 0.08

Remember that % simply means "out of 100", so x% = x/100:

x/100 = 0.08

Multiply both sides by 100:

x = 8

Thus, the tax rate is 8%.

Hope this helps!

erica [24]3 years ago
4 0

Answer:

8%

Step-by-step explanation:

total price/item price = sales tax

5.13/4.75 = 1.08 = 8%

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How many solutions does the system of equations below have?
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One solution                    

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Step 2: Subtract 120 from both sides.

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Divide both sides by -60

\dfrac{ -60x  }{ -60  }   =   \dfrac{ -106  }{ -60  }

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Now that we know the value of x, we can solve for y in any of the equations, but let's use the equation "y = −5x + 8"

\mathrm{So\:it\:would\:look\:like\:this:\ y =  -5 \left(  \dfrac{ 53  }{ 30  }    \right)  +8}

\mathrm{Now\:lets\:solve\:for\:"y"\:then}

y =  -5 \left(  \dfrac{ 53  }{ 30  }    \right)  +8}

\mathrm{Express\: -5 \times   \dfrac{ 53  }{ 30  }\:as\:a\:single\:fraction}

y =   \dfrac{ -5 \times  53  }{ 30  }  +8

\mathrm{Multiply\:-5 \:and\:53\:to\:get\:-265 }

y =   \dfrac{ -265  }{ 30  }  +8

\mathrm{Simplify\:  \dfrac{ -265  }{ 30  }    \:,by\:dividing\:both\:-265\:and\:30\:by\:5} }

y =   \dfrac{ -265 \div  5  }{ 30 \div  5  }  +8

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