You're studying anacondas in tropical South America, and you've decided that a particular environment can sustain 1500 anacondas. Currently, there are 700 anacondas, and they're growing at an annual rate of 2.7%. Use the given logistic model to answer the questions below, where Lis the "carrying capacity" and No is the initial anaconda population. N(t) = 1 + L No L - 1)e-kt (a) What will the population be after 2 years? Round your answer to the nearest whole number. anacondas (c) How many years will it take for the population to reach 1400? Round your answer to the nearest whole number. years.

You're studying anacondas in tropical South America, and you've decided that a particular environment can sustain 1500 anacondas. Currently, there are 700 anacondas, and they're growing at an annual rate of 2.7%. Use the given logistic model to answer the questions below, where Lis the "carrying capacity" and No is the initial anaconda population. N(t) = 1 + L No L - 1)e-kt (a) What will the population be after 2 years? Round your answer to the nearest whole number. anacondas (c) How many years will it take for the population to reach 1400? Round your answer to the nearest whole number. years.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.EA: Extended Application Managing Renewable Resources

Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...

See similar textbooks

Similar questions

What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
To the nearest whole number, what is the initial value of a population modeled by the logistic equation P(t)=1751+6.995e0.68t ? What is the carrying capacity?
What might a scatterplot of data points look like if it were best described by a logarithmic model?
What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?
With what kind of exponential model would half-life be associated? What role does half-life play in these models?
Suppose that a particular plot of land can sustain 500 deer and that the population of this particular species of deer can be modeled according to the logistic model as dPdt=0.2(1P500)P. Each year, a proportion of the herd deer is sold to petting zoos. a. Find the function that gives the equilibrium population for various proportions. b. Determine the maximum number of deer that should be sold to petting zoos each year. Hint: Find the maximum sustainable harvest
The population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t where t is in