1. Warm Up: Find the final amount : Invest $4000 at 6% compounded quarterly for 20 years. Invest $5600 at 3.7% compounded continuously for 12 years.

2. Application Problems

3. Growth and Decay

4. The population of Durango is 50,000. If it grows at a rate of 2%, what will the population be in one year?

5. The population of Cedar Oak in 1920 was 6500. If the population is growing at a rate of 5% per year, what will the population be in 1970?

6. The population of Walden in 1930 was 350,000. If the population is decreasing at a rate of 2.5% per year, what will the population be in 1990?

7. The population of Greenwood in 1940 was 7400. If the population is growing at a rate of 4.5% per decade, what will the population be in 2010?

8. The population of Glenview in 1935 was 8200. If the population is growing at a rate of 3% per decade, what will it be in 2020?

9. If you have 30 bacteria that double every hour, predict the population after 4 hours.

10. If you have 65 bacteria that triple every hour, predict the population after 4 hours.

11. If you have 120 bacteria that double every 15 minutes, predict the population after 3 hours.

12. Suppose the half-life of a certain radioactive material is 20 days and there are 10 grams initially. How much is left after 60 days?

13. Suppose the half-life of a certain radioactive material is 15 days and there are 60 grams initially. How much is left after 80 days? Give answer to nearest thousandth.

14. One Last Thing from Algebra……

15. Example: The original population was 100. The new population is 60. What is the percent decrease?

16. Homework Worksheet