1. SECTION 5-6-2 Growth and Decay

2. Growth and Decay Model 1) Find the equation for y given

3. Growth and Decay Model Where C is the initial amount or initial population, k is the rate, t is time, and y is the final amount after t time GROWTH – when k > 0 DECAY – when k < 0

4. 2) How long will it take the worlds population which is currently 7.06 billion, to double if the population growth rate is 1.9%?

5. 3) Carbon 14 decays proportional to the amount present. Its half – life is 5730 years. If 10 grams were present originally, how much will be left after 2000 years? a) what is the rate of decay?

6. Compound Interest Compounded continuously Compounded n times a year Where p is the principle invested, t is the time invested, y is the balance after t, n is the number of times compounded NOTE:

7. 3) Continued b) how much is left after 2000 years?

8. 4) If $5000 is put in the bank at 8% interest compounded daily, how much will it be worth in 10 years?

9. 5)What are the monthly payments at 8% APR if you want to save million dollars by the time you retire ( 40 years)? a) t = 40 years b) How much of the million did you contribute?

10. 6) The table shows the balance of a $300 purchase where the interest is16% APR on a credit card balance retained over 5 years. a) Use a graphing calculator to find an exponential model for the data t012345 Balance300348.9433.78965.531282.672671.06

11. Assignment Page 421 # 33-59 odd, 63, 64, and 67