Assuming a carrying capacity for worldpopulation K = 15 billion, and a population of7.75 billionas of 2020, estimate the year when populationwill reach 12 billion, assuming a logistic growthcurve applies and with a current growth rate ro= 1.1% per year. What will the updated growthrate rf be in that future year when populationreaches 12 billion?

Concept: From the logistic growth curve we have the relation P(t)=M1+M-PP×e-kt Where M is the…

Answered: Assuming a carrying capacity for world…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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1. The population in a particular city tripled from 1900-1960 and in 1960, the population was 60,000. If the population follows the law of natural growth, estimate the population in 2020.
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10. The population of the state of Utah was recently estimated to be 3.1 million. Using information from the last Census, an exponential model for the population of the state of Utah is: Q = 3.1 (1 + .017) a) Use the model to predict the population of Utah in 20 years. b) Currently, the developed water resources in Utah can supply up to 4 million people. Comment on the validity of the population model.
Show that for a population that satisfies the logistic model, the maximum rate of growth of population size is rK/4, attained when population size is K/2.
The following table shows world population N, in billions, in the given year. According to the logistic model N = 10.90 / 1+2.23e^-0.030t, when will world population reach 90% of carrying capacity? Year N 1965 3.38 1970 3.72 1975 4.15 1980 4.48 1985 4.87 1990 5.38 1995 5.72 1999 6.05 a) 2064b) 2069c) 2066d) 2094
If the population of a Nigeria doubles in 9 years, ﬁnd the growth rate k. Assume that the population increases exponentially.
Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.9. In 1983, about 1900 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2003? people(Note: once diseases become widespread, they start to behave more like logistic growth, but don't worry about that for the purpose of this exercise)
A population with a growth rate equal to zero is

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