A gallon of milk that cost $3.89 a year ago now costs $4.05. A. If the cost is increasing linearly, what is the growth rate? If the cost kept increasing in the same way, what will the milk cost 5 years from now? B. If the cost is increasing exponentially, what is the growth rate? What will the milk cost in 5 years?

A) 1 = 0.16 = 16%

2) $4.69

B) 1 = 0.04 = 4%

2) $4.76

Step-by-step explanation:

A gallon of milk that cost $3.89 a year ago now costs $4.05.

A. Linear Growth rate formula:

P(t) = Po + rt

P(t) = Cost After t years = $4.05

Po = Initial cost = $3.89

1) If the cost is increasing linearly, what is the growth rate?

When t = 1

P(t) = Po + rt

4.05 = 3.89 + r × 1

r = 4.05 - 3.89

r = 0.16

Converting to percentage

= 0.16 × 100

= 16%

2) If the cost kept increasing in the same way, what will the milk cost 5 years from now?

P(t) = Po + rt

P(t) = 3.89 + 0.16 × 5

P(t) = 3.89 + 0.8

P(t) = 4.69

= $4.69

B. Exponential growth rate formula

P(t) = Po (1 + r)^t

If the cost is increasing exponentially, what is the growth rate?

1) when t = 1

P(t) = Cost After t years = $4.05

Po = Initial cost = $3.89

4.05 = 3.89 (1 + r)

Divide both sides by 3.89

4.05/3.89 = 3.89(1 + r)/3.89

1.0411311054 = 1 + r

r = 1.0411311054 - 1

r = 0.0411311054

Approximately = 0.04

Converting to Percentage

= 4%

2) What will the milk cost in 5 years?

P(t) = 3.89 (1 + r)^t

P(t) = 3.89 (1 + 0.0411311054)⁵

= $4.7585727225

Approximately = $4.76

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

i think it would be c

mark brainliest if im right

step-by-step explanation: