Claire purchases a new dress for the prom. the dress is priced $160, but it is on sale for 30% off. claire’s aunt works at the store and can give her an additional 10% off. if the sales tax is 7.5%, how much does claire pay for the dress?

Claire will pay for the dress $ 103.20

Step-by-step explanation:

The dress Claire wants to buy is $ 160, but the dress is 30% off, and Claire's aunt will give you another 10% off, so Claire will get 40% off. To find out how much this dress will cost, after receiving all discounts, you should do the following calculation:

(160 x 40%) /100% =

6400 / 100 = 64 Discount dollars.

160 dollars - 64 dollars = 96 dollars

The price of the dress after all discounts is $ 96. However, Claire will have to pay 7.5% of this tax price. Thus the final price of the dress is discovered with the following calculation:

(96 x 7,5%) / 100% =

720 / 100% = 7.2 tax dollars

96 +7.2 = 103 dollars and 20 cents.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is