In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?

Respuesta :

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate [tex]= 8\frac{1}{2}\%=8.5\%[/tex]

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

[tex]= \frac {8.5}{100}\times 12.99[/tex]

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

[tex]= \frac {8.5}{100}\times 39.99[/tex]

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

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