All computers are on sale for 10% off the original price. If x is the original price of the computer, then the function that represents the price after only a 10% discount is:

Asap
P(x) = x - 0.1x

P(x) = 0.9x

The function that gives the price, C, if only a $150 coupon is used is:

C(x) = x - 150

Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon.

C(P(x)) = 0.9x – 150

P(C(x)) = 0.9x – 150

C(P(x)) = 1.9x – 150

P(C(x)) = 1.9x – 150

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get