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

Question 1 Let gift) be the population (in thousands of people) of Calculus City, as a mction the time t (in years), where t = 0 corresponds to the year 2020. [n 2020, the population was 10000, and each year the population increases by 30%. (a) Model the p0pulation 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. (1)} Evaluate the expression 9(6), and write a semeuee 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 203] the population declines by 8% per year. (a) Model the population by finding 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 M6), and write a sentence explaining what this means. (e) Evaluate the expression h(l2), and write a sentence explaining what this means. Question 3 Population A is 20 thousand at t = l, where t is in years. It grows by 15% per year. (a) Find a formula for A(t), the p0pulati0n (in thousands} at tinie 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 half-life 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. (1)} 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. [f 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 = 3 it was at its minimlnn value of 3000. Write down an appropriate sinusoidal model for the deer population D(t) in year t. (b) The park's wolf poliulatiOn in year t is given by the equation W(t) = 4(t 4.5)? + 400. Determine the time interval between the years [0, 10] when the wolf population is over 375