Given:
The function models the number of movie theaters in the United States t years after 1985.

To find:
The year in which the United States will have 35,000 movie theaters.
Solution:
We have,

Putting f(t)=35000, we get



Divide both sides by 750.


It means, United States will have 35,000 movie theaters 20 years after 1985.

Therefore, United States will have 35,000 movie theaters is 2005.
Answer:
see explanation
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 8 - 5 = 11 - 8 = 14 - 11 = 17 - 14 = 20 - 17 = 23 - 20 = 3
This indicates the sequence is arithmetic
The common difference d = 3
The first term a₁ = 5 and
a₈ = 23 + 3 = 26
Answer:
365.25 days
Step-by-step explanation:
( 3 × 4 ) ÷ 2
then multiply that by 11