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Warm Up

Solve for x. log 8 (x - 3) + log 8 x = log 8 4 3 ln (x – 9) = 1. Warm Up. 3) Determine the amount of money that should be invested at 7% APR compounded continuously to produce a final balance of $15,000 in 20 years. Logistic Equations.

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Warm Up

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  1. Solve for x. • log8(x - 3) + log8x = log84 • 3ln (x – 9) = 1 Warm Up 3) Determine the amount of money that should be invested at 7% APR compounded continuously to produce a final balance of $15,000 in 20 years.

  2. Logistic Equations

  3. Mrs. Chumas has a juicy rumor that she is dying to spread… but there are rules… Once you know you can only tell one other person between each class. How long will it take before everyone knows the rumor?

  4. Person who was told the rumor

  5. Logistic Regression

  6. 1) Write a logistic model for the data.

  7. 2) Use the model to predict the population in the year 2020.3) When will the population reach 22 million people?4) What is the maximum sustainable population for Florida?

  8. L is the carrying capacity(limit to growth)n = the number of years that have passedC and k are constants. Logistics Curve equation:

  9. The number of students infected with the flu at Springfield High School after n days is modeled by What was the initial number of infected students? What is the maximum number of students that can be infected? When will the number of infected students be 200? The school will close when 300 of the student body are infected. When will the school close?

  10. Determine a formula for the logistic function that has initial value 10, carrying capacity 40 and passes through the point (1, 20).

  11. Solve for x (algebraically).

  12. A 2000-gallon tank can support no more than 150 guppies. Six guppies are introduced into the tank. After 2.5 weeks 138 guppies are present. The population of guppies fits a logistic model. a) Write a model for the population. b) How long will it take for the guppy population to be 125?

  13. HomeworkPg 288 #s 56, Pg 296 – 298 #s *24, *25, *27, 46, 50, 58 *answers will not match the back of the book.Worksheet…

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