In Minnesota, the state sales tax rate is 6.875%. The price tag on an HDTV gives the price as $1560, plus a $100 rebate.. What is the total cost for the TV, including
sales tax and rebate in Minnesota?

1560.38

Step-by-step explanation:

As far as I know, a sales tax is never calculated until money changes hands. So the rebate is the first amount to take place.

1560 - 100 = 1460

Now if the purchaser agrees to this amount and does anything to pay partially or in full, the tax is added.

Total Cost = 1460 * (1.06875)

Total Cost = 1560.38

Edit

You have to be very careful when you use a term like rebate. Rebate is a very special kind of discount. Your purchase has to qualify for a rebate. Apparently this one does. If you are willing to spend 1560 on something, the merchant selling the product offers you a rebate to help you decide.

If the TV cost is 1200 you may not get the rebate.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .