Connie has saved up $15 to purchase a new CD from the local store. The sales tax in her county is 5% of the sticker price. Write an equation and solve it to determine the value of the highest priced CD Connie can purchase with her $15, including the sales tax. Round your answer to the nearest penny. (2 points) x − 0.05x = 15; x = $15.79 5x = 15; x = $3.00 x + 0.05x = 15; x = $14.29 0.5x = 15; x = $30

Respuesta :

Answer:

[tex]x + 0.05x = 15[/tex], solution is $14.29

Step-by-step explanation:

We can create an equation for this scenario to try and solve it.

Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)

We can write the equation in two ways:

[tex]x + 0.05x = 15[/tex] or [tex]1.05x = 15[/tex].

Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.

Therefore, the equation is [tex]x + 0.05x = 15[/tex] and the solution is $14.29.

Hope this helped!

Answer:

x + 0.05x = 15; x = $14.29

Step-by-step explanation: