Every item in a store is discounted by 20%. Paige buys T-shirts that regularly cost $15 during the sale. She also pays 6.5% in tax, which is added after the discount is applied. Which calculations can be used to determine the total amount Paige paid for the T-shirt, including sales tax?

$12.78.

Step-by-step explanation:

The discount is 20% so:

Total payment  before tax = 15 - (15 *20/100) = $12.

Now we add the 6.5% tax:

Total payment after tax = 12 + (12 * 6.5/`100) =  $12.78.

Paige paid $11.22 for the T-shirt, including sales tax

Step-by-step explanation:

Paige buys T-shirts that regularly cost $15 during the sale. If a 20% discount is applied, the value of the discount would be

20/100 × 15 = 0.2 × 15 = $3

The price of the T-shirt would be

15 - 3 = $12

She also pays 6.5% in tax, which is added after the discount is applied. This means that the amount of tax that she paid is

6.5/100 × 12 = 0.065 × 12 = $0.78

Therefore, the total amount that Paige paid for the T-shirt, including sales tax is

12 - 0.78 = $11.22

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!