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

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.) Question 4 Answer the following parts. (a) Write down a formula for the amount of money you would have in your account after t years if it started at $1000 and the account pays 2.5% annual interest compounded monthly. (b) If you buy a car for $20,000 and it loses half its value every year when will the car be worth $3,000? (c) A population is known to grow exponentially. If it starts at 100 and is 150 after 3 months when will the population be 300? Question 5 We consider deer and wolves that live in a national park. (a) The population of deer oscillates cyclically over a 10 year span. Assume that in the year t = 3, the deer population reached its maximum value of 4000 and in the year t = 8 it was at its minimum value of 3000. Write down an appropriate sinusoidal model for the deer population D(t) in year t. (b) The park's wolf population in year t is given by the equation W05) = 4(t 4.5)2 + 400. Determine the time interval between the years [0, 10] when the wolf population is over 375