Part 1: Modeling population growth. (30 points total. 10 points per answer, partial credit can be earned if thinking process is correct but arithmetic errors are made.) Verden had a population of 22,000 in 2010 and has been growing at a rate of 3% per year since then. 1. Write an equation to show the population P of Verden t years after 2010. 2. Find the population of Verden in 2030. 3. What would be the first year that the population is more than twice what it was in 2010. Part 2: You invest $500 at an 8% annual interest rate. For each of the following situations, how much is your investment worth after 4 years. Round to the nearest dollar. Show your work to receive partial credit. (10 points per answer, 5 points if you show correct formula but make arithmetic mistake.)

1. Simple Interest:

2. Compounded Annually:

3. Compounded Monthly:

4. Compounded Continously: Part 3: The function f(x) = 2x is reflected vertically, translated 5 units up and 3 units left to find g(x). (10 points per answer) 1. Write out the function g(x). 2. What is the domain of g(x)? 3. What is the range of g(x)