Movie Mania charges a subscription fee of $30 and an additional $5 per movie, x. Movie Time charges a subscription fee of $25 and an additional $6 per movie, X.
Based on this information, which system of inequalities could be used to determine how many movies need to be rented for a customer o
Anna's plan, y, to pay her more than they would at Movie Time, but less than they would at Movie Mania?
OA.
y < 5= 30
y > 65 $ 25
ОВ.
y > 55 + 30
y < 61 + 25
OC.
y < 5+ 30
y > 65 + 25
OD
y > 50 + 30
y > 60 + 25

d. vertex

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week