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IB MAI HL Number and Algebra Topic 1.5 Matrices (id: 6a964aeb7)

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admin 发表于 2024-2-6 05:06:48 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Number and Algebra Topic 1.5 Matrices,类别为 IB数学

[填空题]
Two competing radio stavemy6 ph.5/i gtions, statiofgx /17 gspzf,cy3+ avn8dk+l n A and station B, each have 50 % of the listener market at some point in time. Over each one-year period, station A manages to take away 15 % of station B's share, and station B ma vc7gnzxfyslfgap d 183k+,/+nages to take away 10 % of station A's share.

1.Write down a transition matrix that describes the exchange of market shares between the two stations over each one-year period.

2.Find the market share held by each station after one year.
Station A:  
Station B:  

3.Write down the market shares of stations A and B over a five-year period.

4.Find the market share held by each station in the long term if the same trend of market share exchanges between the two stations continues indefinitely.
Station A:  
Station B:  




参考答案:
空格1: 0.525空格2: 0.475空格3: 0.6空格4: 0.4


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