1. Pass up your homework and clear your desk for the QUIZ

2. Exponential Equations
Solving
Exponential Equations
and Applications

3. Solve for x: ex = 72

4. Solve for x: 5x = 17

5. Solve for x: e(0.05x) = 300

6. Solve for x: e-x = 2

7. Solve for x:

8. Solve for x:

9. General Formula for Population Growth/Decay
Pn = P0(1 ± r )n

10. The population of Eagle City was 10,000 people in 1900
The population of Eagle City was 10,000 people in It has been increasing at a steady rate of 2.5% per year.
Let n = the number of years since and P(n) = the population of Eagle city. Write a function P(n) that defines the population in terms of the years since 1900.
Use your function from #1 to predict the population of Eagle City at the end of
3. Use your equation to predict when the population will be 100,000 people.

11. The population of Trojanville in the year 2000 was 235,000 and continues to decrease at the rate of 1.5% every year.
Write a function P(n) that defines the population in terms of the years since 2000.
2. Use your function from #1 to predict the population of Trojanville after 5 years
3. Use your equation to predict when the population will be 200,000 people.

12. General Half-life equation
Initial population

13. Suppose the half-life of a certain radioactive substance is 20 days and that there are 5 grams present initially.
Write a function for the amount of substance that is present after t days.
Use your function to predict when there will only be 1 gram left.
Use your function to predict the amount of substance present after 30 days.

14. The half-life of a certain substance is 65 days and there are 3
The half-life of a certain substance is 65 days and there are 3.5grams present initially. When will there be 2 grams left?

15. General Interest Equations
Compound interest Compound Continuously

16. You deposit $5000 in a trust fund that pays 7
You deposit $5000 in a trust fund that pays 7.5% interest compounded monthly.
Write a function for the amount of money that is present after n years.
How much time will it take for your money to double?

17. You deposit $1000 in a savings account that earns 4% interest compounded continuously
How much money will you have in 10 years?
How long will it take for you to accumulate $3200

18. Determine when an investment of $1500 accumulates to a value of $2280 if the investment earns interest at a rate of 7%APR compounded quarterly.