Respuesta :
Kelly bought a fitness tracker, the original value is $45.95, this is 100% of the value of the tracker. She got a discount from a coupon of 15%, this means that she'll pay 15% less for the tracker, which means:
[tex]100-15=85[/tex]That she'll pay 85% of the marked price for the tracker. To find this value we need to multiply the total price of the item by the percentage as shown below:
[tex]\begin{gathered} \text{price}=85\text{ \%}\cdot45.95 \\ price=\frac{85}{100}\cdot45.95 \\ \text{price}=\frac{3905.75}{100}=39.0575 \end{gathered}[/tex]Over the price that was charged ther is a tax of 6.5%, this means that she has to pay 6.5% more than what she'd pay after the discount without taxes, which means:
[tex]100+6.5=106.5[/tex]We can find this value by multiplying the percentage 106.5% by the price. We have:
[tex]\begin{gathered} \text{final price}=106.5\text{ \%}\cdot39.0575 \\ \text{final price}=\frac{106.5}{100}\cdot39.0575 \\ \text{final price}=1.065\cdot39.0575 \\ \text{final price}=41.5962 \end{gathered}[/tex]The final price after taxes is approximately $41.6
