Math 112 4.6 Notes

Math 112 4.6 Notes - Section 4.6 Population Growth: P(t )...

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Section 4.6 Population Growth: t k e P t P * 0 ) ( = P 0 is the initial population k is the exponential growth rate t is the time in years P(t) is the population after t years Example 1: The population of a city was 94,000 in 1992. The exponential growth rate is 1.7% per year. a.) Find the exponential growth function where t is the number of years since 1992. b.) What is the population in 2008? c.) In what year will the population be 105,000?
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Doubling Time: The doubling time is the time it takes for P(t) = 2*P 0 . Similarly, the tripling time is the time it takes for P(t) = 3*P 0 . Example 1: If the exponential growth rate is 1.7% per year, what is the doubling time? Example 2: Find the exponential growth rate if the doubling time is 43 years.
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Continuously Compounded Interest: t r e P A * * = A is the amount in the account P is the principle or amount invested r is the interest rate per year t is the time in years Example 1: If $9000 is invested at 5% interest compounded continuously for 7 years. a.) What will be the amount of money in the
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Math 112 4.6 Notes - Section 4.6 Population Growth: P(t )...

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