Respuesta :

Answer: [tex]Net\ cost=\$49.42[/tex]

Step-by-step explanation:

You need to analize the information given in the exercise.

In this case you know that the List price is:

[tex]List\ price=\$74.13[/tex]

And, based on the data given, you also know that the Trade discount is:

[tex]Trade\ discount=\frac{7}{21}[/tex]

Then, the first step you need to apply is to multiply the List price by the Trade discount, as you can observe below:

[tex](\$74.13)\frac{7}{21}=\$24.71[/tex]

 Now it is important to remember that, by definition, the Net cost can be found by subtracting the List price  (which in this case is $74.13) and the product of the List price and the Trade discount (which in this case is $24.71).

Then, through this procedure, you get the following Net cost:

[tex]Net\ cost=\$74.13-\$24.71\\\\Net\ cost=\$49.42[/tex]