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AP Calculus AB Day 4 Section 6.2 9/14/2018 Perkins.

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Presentation on theme: "AP Calculus AB Day 4 Section 6.2 9/14/2018 Perkins."— Presentation transcript:

1 AP Calculus AB Day 4 Section 6.2 9/14/2018 Perkins

2 Exponential Growth and Decay Function
rate of growth or decay final amount initial amount Half-life Doubling-time

3 1. Radium has a half-life of 1620 years. If 1. 5 grams is
1. Radium has a half-life of 1620 years. If 1.5 grams is present after 1000 years and Radium follows the law of exponential growth and decay, how much is left after 10,000 years?

4 2. An initial investment of $10,000 takes 5 years to double
2. An initial investment of $10,000 takes 5 years to double. If interest is compounded continuously… a. What is the initial interest rate? b. How much will be present after 12 years?

5 AP Calculus AB Day 4 Section 6.2 Perkins

6 Exponential Growth and Decay Function
Half-life Doubling-time

7 1. Radium has a half-life of 1620 years. If 1. 5 grams is
1. Radium has a half-life of 1620 years. If 1.5 grams is present after 1000 years and Radium follows the law of exponential growth and decay, how much is left after 10,000 years?

8 2. An initial investment of $10,000 takes 5 years to double
2. An initial investment of $10,000 takes 5 years to double. If interest is compounded continuously… a. What is the initial interest rate? b. How much will be present after 12 years?

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