Fartingcupcakez8700 Fartingcupcakez8700
  • 03-10-2017
  • Mathematics
contestada

Yearly attendance at a local movie theater is 56,000 and grows continuously at a rate of 4.2% each year. What is the approximate attendance at the movie theater in nine years?

Respuesta :

Аноним Аноним
  • 03-10-2017
Yearly attendance = 56,000
The growth rate is 4.2% or 0.042 per year.

That is,
Year 0: 56,000
Year 1: 56,000*1.042
Year 2: 56,000*1.042²

and so on.

This is a geometric sequence with
a₁ = 56,000 and r = 1.042

The n-th term is 
a(n) = a₁ rⁿ⁻¹

When n=9, obain
a₉ = 56,000*1.042⁸ = 77,826.9 ≈ 77,827

Answer: 77,827
Answer Link

Otras preguntas

I am trying to find the magnitude of a resultant vector. Do i take inconsideration the negatives when i find the x & y components of the two vectors
AFTER EVERY NINTH VISIT TO A RESTAURANT YOU RECEIVE A FREE BEVERAGE . AFTER VERY TWELFTH VISIT YOU RECEIVE A FREE APPETIZER . IF YOU VISIT THE RESTAURANT 100 TI
What are the layers of the atmosphere from closest to farthest from Earth's surface?
3.7 times 9.4 show work
what is 28.09 rounded to the nearest tenthvis
What type of process occurs when solidified wax is converted to liquid wax on heating?
Tell the value of the underlined digit 17,874,000,000 the 1 is underlined
Carine is 7 years older than her brother. Three years ago, their total age was 43 years. What will be Carine's age in 12 years' time?
What is the range of numbers along the lines of longitude
Ramon has a rope that is 25 1/2 feet long. He wants to cut it into 6 pieces that are equal in length.  How long will each piece be?