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Could you solve the questions please? THANK YOU SO MUCH!! Question 1 Let g(t) be the population (in thousands of people) of Calculus City, as

Could you solve the questions please? THANK YOU SO MUCH!!

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Question 1 Let g(t) be the population (in thousands of people) of Calculus City, as a function the time t (in years), where t = 0 corresponds to the year 2020. In 2020, the population was 10000, and each year the population increases by 30%. (a) Model the population by nding a formula for g(t), using the appropriate choice of a linear, polynomial, power, trigonometric, or exponential function, or a piecewise combination thereof. (b) Evaluate the expression 9(6), and write a sentence explaining what this means. (c) Solve the equation g(t) = 16.9, and write a sentence explaining what this means. Question 2 Let Mt) be the population (in thousands of people) of Algebra City, as a function the time t (in years), where t = 0 corresponds to the year 2020. In 2020, the population was 20000. Between 2020 and 2030, the population grows by 5000 people per year, but then after 2030 the population declines by 8% per year. (a) Model the population by nding a formula for Mt), using the appropriate choice of a linear, polynomial, power, trigonometric, or exponential function, or a piecewise combination thereof. (b) Evaluate the expression MG), and write a sentence explaining what this means. (c) Evaluate the expression h(12), and write a sentence explaining what this means. uestion 3 Population A is 20 thousand at t = 1, where t is in years. It ows by 15% per year. 3T (a) Find a formula for A(t), the population (in thousands) at time t. (b) What is the doubling time? (The doubling time is the time it takes an exponentially growing function to double. It's analogous to the halflife of an exponentially decaying function.)

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