Suppose that each year, 80% of residents living in state A stay in state A, while 20% of themmove to state B. Also, 70% of the residents living in state B stay in state B, while 30% ofO years, there are 2 million residents living inthem move to state A. Further, assume at t = 0state A and 5 million residents living in state B, and let x, and yn represent the populations (inmillions) of the states A and B, respectively, at time t = n years. Given thatXn = p+q(r)" ,find the value of the number q.

Given: The equation represents population of state A given as xn = p + q(r)n Here, t = n years and…

Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them move to state B. Also, 70% of the residents living in state B stay in state B, while 30% of them move to state A. Further, assume at t = 0 years, there are 2 million residents living in state A and 5 million residents living in state B, and let æn and yn represent the populations (in millions) of the states A and B, respectively, at time t = n years. Given that Xn = p+q(r)" , find the value of the number

Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them move to state B. Also, 70% of the residents living in state B stay in state B, while 30% of them move to state A. Further, assume at t = 0 years, there are 2 million residents living in state A and 5 million residents living in state B, and let æn and yn represent the populations (in millions) of the states A and B, respectively, at time t = n years. Given that Xn = p+q(r)" , find the value of the number

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them
move to state B. Also, 70% of the residents living in state B stay in state B, while 30% of
O years, there are 2 million residents living in
them move to state A. Further, assume at t = 0
state A and 5 million residents living in state B, and let x, and yn represent the populations (in
millions) of the states A and B, respectively, at time t = n years. Given that
Xn = p+q(r)" ,
find the value of the number q.

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