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Precalculus Functions & Graphs 4.3 The Natural Exponential Function.

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Presentation on theme: "Precalculus Functions & Graphs 4.3 The Natural Exponential Function."— Presentation transcript:

1 Precalculus Functions & Graphs 4.3 The Natural Exponential Function

2 Precalculus Functions & Graphs 4.3 The Natural Exponential Function blue red green

3 Precalculus Functions & Graphs 4.3 The Natural Exponential Function Continuously Compounded Interest Formula Time 3 years 6 months 3 months

4 Precalculus Functions & Graphs 4.3 The Natural Exponential Function Sara invests $20,000 in a continuously compounding interest account at a rate of 6% per year for 5 years. How much money will she have after 5 years.

5 Precalculus Functions & Graphs 4.3 The Natural Exponential Function Exponential Growth & Decay

6 Precalculus Functions & Graphs 4.3 The Natural Exponential Function The population of a city in 1970 was 153,800. Assuming that the population increases continuously at a rate of 5% per year, predict the population of the city in the year 2010.

7 Precalculus Functions & Graphs 4.3 The Natural Exponential Function Jonathan invested $10,000 in a continuously compounding interest account. At the end of 15 years, there was $28,576.51, what interest rate did he get?

8 Precalculus Functions & Graphs 4.3 The Natural Exponential Function The population of the city of Oakley in 1970 was 1,306. Assuming that the population increases continuously at a rate of 5% in what year will the population reach 39,224 The city of Oakley actually reached a population of 39,224 in 2014, 24 years earlier then expected. How can this be explained?

9 Precalculus Functions & Graphs 4.3 The Natural Exponential Function Solve for x

10 Precalculus Functions & Graphs 4.3 The Natural Exponential Function Find the zeros:


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