Answer:

Step-by-step explanation:
The nth term for the geometric sequence is given by:

where,
is the first term
r is the common ratio
n is the number of terms.
As per the statement:
For the geometric sequence of
and r=2
We have to find 
for n = 5;

Substitute the given values we have;

⇒
Therefore, the value of
is, 32
$23.58 divided by 12 = $1.965
Each roll is about $1.97 (if you round up)
Answer:
y=3x
idk
Step-by-step explanation:
I know this is only half an answer, but for a they have the same slope and it's proportional so it has no b value.
"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that
a = kb
We're given that a = 18 and b = 3, so that
18 = 3k ⇒ k = 6
Then when b = 5, we would have
a = 6 × 5 = 30
Answer: it will take 25 months
Step-by-step explanation:
Let x represent the number of months that it will take for the cost of both plans to be the same.
Cell phone Plan A costs $70 per month and comes with a free $500 phone. This means that the total cost of x months with plan A would be
70 × x = $70x
Cell phone plan B costs 50 per month but does not come with a phone. If you buy the 500 phone and choose plan B, then the total cost of x months with plan B would be
500 + 50 × x = 500 + 50x
To determine the number of months until your cost is the same as Plan A's, we would equate both costs. It becomes
70x = 500 + 50x
70x - 50x = 500
20x = 500
x = 500/20 =25