A magical college, Worthogs, was established in 1127 CE by in- troducing 62 widards to the academy. Faculty advance through the ranks discretely from year to year according to the following promotion rates: ⚫ Worthogs maintains the same number of assistant profes- sors each year. 4% of assistant professors become associate professors each year. 8% of associate professors become full professors each year. .4% of full professors retire each year. Describe the population of faculty at Worthogs by constructing the appropriate matrix model of the form ++1 = Mat. Determine how many faculty are currently at Wordhogs? Between 154.99 and 155.01

A magical college, Worthogs, was established in 1127 CE by in- troducing 62 widards to the academy. Faculty advance through the ranks discretely from year to year according to the following promotion rates: ⚫ Worthogs maintains the same number of assistant profes- sors each year. 4% of assistant professors become associate professors each year. 8% of associate professors become full professors each year. .4% of full professors retire each year. Describe the population of faculty at Worthogs by constructing the appropriate matrix model of the form ++1 = Mat. Determine how many faculty are currently at Wordhogs? Between 154.99 and 155.01

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 16PT: In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18...

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