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Answer: The total cost of the tv is $719.95

Step-by-step explanation:

Hi, to solve this problem we have to calculate the value of the discount percentage:

So:

  • $849 x 0.20 = $169.8

The next step is to subtract that result to the cost of the computer.

  • $849 -$ 169.8=$679.2

Then, we have to calculate the sale tax.

  • $679.2 x 0.06= $40.752

Finally, we add the sale tax value to the cost of the tv with the discount.

  • $679.2+ $40.752= $719.95

The total cost of the tv is $719.95

The cost of a TV is $719.95.

Given

The cost of a TV is $849.

The store is offering a 20% discount and a sales tax of 6% is added after the discount.

The cost of TV is $849 after 20% discount the cost of TV is;

[tex]\rm New\ cost \ of \ TV = Cost \ of \ TV \times \dfrac{20}{100}\\\\ New \ cost \ of \ TV =849 \times 0.2\\\\New \ cost \ of \ TV =169.8[/tex]

Then,

After the discount cost of TV is,

= 849-169.8 = $676.20

The cost of a TV after a 20% discount is $676.20.

A sales tax of 6% is added after the discount.

Therefore,

The cost of the TV after adding 6% sales tax

[tex]\rm Cost \ of \ Tv\ after \ 6 \ percent \ sales \ tax = Cost \ of \ Tv \ after \ 20 \ percent \discount \times \dfrac{6}{100}\\\\Cost \ of \ Tv\ after \ 6 \ percent \ sales \ tax = 679.2 \times 0.06\\\\Cost \ of \ Tv\ after \ 6 \ percent \ sales \ tax = 40.752[/tex]

Therefore,

The cost of a TV is,

= $679.2+ $40.752= $719.95

Hence, the cost of a TV is $719.95.

To know more about Percentages click the link given below.

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