Before cell phones came along and unlimited long-distance calling packages were widely available. long-distance carriers offered competitive calling plans. at& t introduced their "dime-line". customers paid a monthly fee of $5 plus only 10 cents per minute of long-distance calling time. sprint offered a plan in which customers simply paid 30 cents per minute with no monthly fee. how many minutes of long-distance time make the customer charges equal? which plan would be more beneficial to a small business that dealt with clients across the country? explain your answer.

c

step-by-step explanation:

i think because what else can be a sample of every member

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides

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