Tim wants to purchase a watch for $98.99. He has a coupon that will discount the watch by 10%. If sales tax is 7.5%, what will Tim pay at the register? (Round to the nearest penny)

Respuesta :

Answer:

$95.77

Step-by-step explanation:

We are told that Tim wants to purchase a watch for $98.99.

He has a coupon that will discount the watch by 10%. So price of watch after using coupon will be,

[tex]\text{Price of watch after discount}=98.99-(98.99*\frac{10}{100})[/tex]

[tex]\text{Price of watch after discount}=98.99-(98.99*0.10)[/tex]

[tex]\text{Price of watch after discount}=98.99-9.899=89.091[/tex]

Now let us find the price of watch after sales tax of 7.5%.

[tex]\text{Price of watch after sales tax}=89.091+(89.091*\frac{7.5}{100})[/tex]

[tex]\text{Price of watch after sales tax}=89.091+(89.091*0.075)[/tex]

[tex]\text{Price of watch after sales tax}=89.091+6.681825[/tex]

[tex]\text{Price of watch after sales tax}=95.772825\approx 95.77[/tex]

Therefore, Tim will pay $95.77 at the register.