The exponential growth model of a population in a certain city is A= 20e0.05t where A is the size of the population in thousands in a particular year, and t is the number of years from the year 2000. a) What is the population of the city in the year 2000? b) What is the population of the city in the year 2020? C) If the rate of change increased after 2020 to 10%, in what year that the population be 200,000? d) What could be the initial population if the number of people is 10, 0000, 000 in 12 years with the same growth rate?

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