The fox population in a certain region has a continuous growth rate of 9 percent per year. It estimated that the population in the year 2000 was 29100. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = Preview (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) Preview Get help: Video

The fox population in a certain region has a continuous growth rate of 9 percent per year. It estimated that the population in the year 2000 was 29100. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = Preview (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) Preview Get help: Video

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter5: Business And Economic Forecasting

Section: Chapter Questions

Problem 1E: The forecasting staff for the Prizer Corporation has developed a model to predict sales of its...

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I need some help, Also can you show me all the steps, please? Lizards of a valuable breed (Alligator lizards) have been introduced onto Lizard Island and their population is growing. The Population (P) is modelled by the differential equation dp/pt=-k(p-m) where t is the number of years that have passed since January 2022, M is an upper bound on the population due to limitations on the island’s natural resources, and k is a constant relating to the net population growth rate. Customers (Paying tourists) of the island seeing some lizards is essential for the business, so the operator is keen for the number of lizards to reach 75% of M in January 2028 (a) Use the separation of variables technique to formulate a solution to the differential equation. (b) In January 2022, there were 50 lizards and in January 2023 there were 60. Current scientific research estimates k as 0.05, but M is unknown. Estimate M from this data. (c) The business wants to start feeding the lizards vitamins from…
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