The population of a town can be modelled by the function,  P(t)= 20 (4t+3)/(2t+5) where P is the population, in thousands, and t is the time, in years, after the year 2000 (t > 0). What is the population in the year 2000?                                              In what year will the population be 30 000? Town planners claim that they need not plan for a population above 40000. Does the model support this conclusion? Explain.

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