1. Homework Questions

2. Word Problems with Exponentials and Logs

3. Exponential Word Problems
Compounded Continuously
Other compounds
Half Life
inc/decreasing and app/depreciation

4. You have decided to invest $2500 at an 8% annual rate of interest
You have decided to invest $2500 at an 8% annual rate of interest. How much will you have accumulated after 4 years it is compounded:
Annually?
Quarterly?
Daily?
Continuously?

5. You have decided to invest $10,000 at an 6.75% annual rate of interest. How much will you have accumulated after 5 years it is compounded:
Annually?
Quarterly?
Daily?
Continuously?

6. A = Pert
Suppose you invest $1050 at an annual interest rate of 5.5% compounded continuously. How much will you have in the account after 5 years?
Suppose you invest $1300 at an annual interest rate of 4.3% compounded continuously. How much will you have in the account after three years?

7. Interest
An initial investment of $100 is now valued at $ The interest rate is 8% compounded continuously. How long has the money been invested?

8. Another Example:
Suppose a $125,000 piece of machinery is depreciating at 8% every year.
How much is it worth after 5 years?
After 7 years?
How long will it take for it to be worth less than $50,000?

9. How Long Problems?
Suppose you buy a used car that costs $11,800. The expected depreciation of the car is 20% a year. When will the value be $6,500?

10. How Long?
The population of Ramsey City is currently 250 people with a growth rate of 9% a year. How long until the population reaches 5000 people?

11. Half Life Problem:
A hospital prepares a 100-mg supply of technetium-99mg which has a half-life of 6 hours. Write an exponential function to find the amount of technetium-99mg that remains after 75 hours.

12. Another Half-Life:
Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. Write an exponential decay function for a 90-mg sample. Use the function to find the amount remaining after 6 days.

13. How long?
Ramsey-26 is a chemical that has a half-life of 3 days. If Amy takes 300 mg of Ramsey-26, then how much is left after 37 days? How long will it take for Amy to only have 5 mgs left in her body?

14. Homework
Pg. 342 (3, 11, 17, odd)
Worksheet
Sticker worksheet 