The population of a Midwestern city starts with 50, 000 people in January 2017 and grows by 20% over each successive nine-year period. (a) Find a formula for the population of the city, P, as a function of time, t, where t is the number of years after 2017. NOTE: Give your purameters to fiue decimal places. Do not use commas in your answer. P(t): b) Find the annual and continuous growth rates of the city. NOTE: Givc your answcrs as percentanges accurate to three decimal places. The annual growth rate is %. The continuous growth rate is %. (c) In what year does the population of the city reach 65, 000? The population reaches 65, 000 during the year

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