A CD usually sells for $15.00. If the CD is 10% off, and sales tax is 5%, what is the total price of the CD, including tax?

Respuesta :

Answer:

The total price of the CD is $14.18

Step-by-step explanation:

Percentages

We can compute additive or subtractive percentages by using these formulas. If we have a number X and want to increase it by Y%, then the increase is xY/100. Thus the new value for the number is x+xY/100 or equivalently

[tex]X(1+Y/100)[/tex]

If we want to decrease by Z%, the new value is

[tex]X(1-Z/100)[/tex]

The regular price for a CD is X=$15. The CD is Z=10% off, so the sale price is

[tex]15(1-10/100)=\$13.5[/tex]

But we have to add the tax of Y=5%, so the final value is

[tex]13.5(1+5/100)=\$14.18[/tex]

The total price of the CD is $14.18