A clothing store is having a sale. Last week, a coat originally priced at $110 and was discounted by 45%. This week, the coat was discounted by 30% of last weeks sale price. What is the price of the coat after the second discount is applied

The price of the coat after the second discount is applied is $42.35.

Step-by-step explanation:

First, you need to find the amount after the first discount by multiplying the original price by 45% and subtracting that amount from the initial price:

$110*45%=$49.5

$110-$49.5=$60.5

Now, you have to find the price of the coat after the second discount by calculating 30% of the price after the first discount and subtracting the result from that price:

$60.5*30%=$18.15

$60.5-$18.15=$42.35

According to this, the answer is that the price of the coat after the second discount is applied is $42.35.

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