1. An investment of $2000 earns 5.75% interest, which is compounded quarterly. After approximately how many years will the investment be worth $3000?

2. An investment of $200 is now valued at $315. Assuming continuous compounding has occurred for 6 years, approximately what interest rate is needed to be for this to be possible?

3. 1.) Write a function that models 400 mg of a substance that has a half life of 84 days. 2.) How much of the substance will be left after 110 days?

4. Ahmed invests $400 into a back account that pays 3.5% interest annually. How long will it take Ahmed’s account to accumulate $500?

5. An investment of $100 is now valued at $149.18. The investment rate is 8% compounded continuously. About how long has the money been invested?

6. An investment service guaranteed to double your money in 15 years. Assuming continuous compounding of interest, what rate of interest is needed?

7. Using 20 th -century U.S. census data, the population of Ohio can be modeled by where p is the population in millions and t is the number of years since 1800. Based on this model. a.) What was the population of New York in 1850? b.) What will New York state’s population be in 2015? c.) What is New York’s maximum sustainable population (limit to growth)?