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

Sheryl purchased a plot of land for $32,500. The land appreciates about 4.9% each year. What is the value of the land after eleven years?

parthkohli · Answer

$$\Large \rightarrow 56000(1 +  0.042)^{9} $$

anonymous · Answer

Sheryl purchased a plot of land for $32,500. The land appreciates about 4.9% each year. What is the value of the land after eleven years?

parthkohli · Answer

$$\Large \rightarrow 32000(1 + 4.9)^{11} $$

parthkohli · Answer

Do you understand this?

anonymous · Answer

No

anonymous · Answer

Is the answer $18,701.18?

parthkohli · Answer

Well, it is compounding each year. I mean, that 1 year later, it will be x% more of last year's interest+original price.

parthkohli · Answer

which one?

anonymous · Answer

for the land depreciating at 4.9% over eleven years?

parthkohli · Answer

The second one is actually
$$\Large 32000(1 - 0.049)^{11}$$

anonymous · Answer

A playground is being designed where children can interact with their friends in certain combinations. 

If there is 1 child, there can be 0 interactions. 
If there are 2 children, there can be 3 interactions. 
If there are 3 children, there can be 9 interactions. 
If there are 4 children, there can be 18 interactions. 

How many interactions will there be for 9 children?