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

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

(A) Let S₀ = [.14 .86] 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 Internet in the long run?

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Table 1 Year Percent 1995 14 2000 49 2005 68 2010 79