5. Johns hometown of Colorado had a population of approximately 21,840 when John was born in 1986. In 2020, the populat

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5. Johns hometown of Colorado had a population of approximately 21,840 when John was born in 1986. In 2020, the population was approximately 44,508. For the last several years, Colorado has had an average growth rate of approximately 1.97%.
(a) What is the function p(t) that describes the population of Colorado?
(b) How many years will it take to triple the 1986 population? (answer to two decimal places.)
(c) (5 points) In what year will the population of Colorado exceed 70,000 people?
(express your answer as the year)