You go to a local mechanic to get your tires changed. There is a 6% sales tax, but you get a 10% discount.

a. Write a function, t(x) for the total purchase amount after taxes but before discounts and fees.

b. Write a function, d(x) to account for the total after discounts on purchase amount x.

c. Does it matter whether the mechanic adds the tax first or takes the discount first? Show all your work to verify.

5

Step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm