the regular price of a high quality pair of binoculars is $600.00. This week, binoculars are on sale for 12% off. The tax rate is 3.5%. If you hand the cashier twenty-eight $20.00 bills, how much change should you receive ? show your work.

Respuesta :

Answer:

$13.52

Explanation:

Regular Price of the binoculars = $600

Discount = 12%

Therefore, the Sale Price of the binocular will be:

[tex]\begin{gathered} (1-12\%)\text{ of 600} \\ =(1-0.12)\times600 \\ =0.88\times600 \\ =\$528 \end{gathered}[/tex]

The tax rate is 3.5%.

[tex]\begin{gathered} \text{Tax}=3.5\%\text{ of \$528} \\ =0.035\times528 \\ =18.48 \end{gathered}[/tex]

Therefore, the total amount to be paid will be:

[tex]\begin{gathered} =\text{Sales Price+Tax} \\ =528+18.48 \\ =546.48 \end{gathered}[/tex]

If you give the cashier twenty-eight $20.00 bills, the change that you would receive will therefore be:

[tex]\begin{gathered} \text{Change}=(28\times20)-546.48 \\ =560-546.48 \\ =\$13.52 \end{gathered}[/tex]