The population of a country is modelled using the formula P = 20 + 10 e t/50

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The population of a country is modelled using the formula P = 20 + 10 et/50 where P is the population in thousands and t is the time in years after the year 2000.

a. State the population in the year 2000.

b. Use the model to predict the population in the year 2030.

c. Sketch the graph of P against t for the years 2000 to 2100.

d. Do you think that it would be valid to use this model to predict the population in the year 2500? Explain your answer.

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