The 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?

Question

anonymous · Answer

4.2% of 56, 000 =2352
56,000 + 2352 =56,2352

2nd year: 23618.784 and so on and so on.

anonymous · Answer

So multiply 2352 by 9 years?

anonymous · Answer

Got it thanks! (:

anonymous · Answer

get the 4.2% of each year with the extra of the other.

anonymous · Answer

To find the third year, find 4.2% of 23, 618.784

anonymous · Answer

Well I multiplied each year by 4.2%, giving me the 2352 each year, so I multiplied that by 9 years.. giving me 21,168, which I added to the 52,000

So the total for 9 years would be 77,168?

anonymous · Answer

Although after a year the number is not 52 000 anymore! It's 54,352 that means that after, the numbers will be different again!

anonymous · Answer

I made by arithmetical progression. (56.000, 58.352, 60.802,788, ...)
Ninth term =$$56000*1,042^{8}$$
Ninth term = approx  77.827