Table 1 gives the percentage of U.S. adults who at least occasionally used social networking sites in the given year. 

The following transition matrix P is proposed as a model for the data, where I represents the population of social network users. 

(A) Let S₀ = [.08 .92] and find S₁, S₂, and S₃. Compute both matrices exactly and then round entries to two decimal places. 

(B) Construct a new table comparing the results from part (A) with the data in Table 1. 

(C) According to this transition matrix, what percentage of the adult U.S. population will use the social networking sites in the long run?

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Table 1 Year 2005 2007 2009 2011 Percent 8% 22% 50% 64%