SECTION 5-6-2 Growth and Decay. Growth and Decay Model 1) Find the equation for y given.

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Presentation transcript:

SECTION Growth and Decay

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

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

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%?

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?

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:

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

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

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?

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 t Balance

Assignment Page 421 # odd, 63, 64, and 67