If the total sticker price on a new car is $42,055 and you have to pay 7% sales tax, how much will you have to pay for the vehicle including tax?

$44,998.85

Step-by-step explanation:

Price of the car = $42,055

Tax = 7%

Total cost = Price of the car + amount of tax

= 42,055 + 7% of 42,055

= 42,055 + 7/100 * 42,055

= 42,055 + 0.07 * 42,055

= 42,055 + 2,943.85

= 44,998.85

Total cost = $44,998.85

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1