Problem on Continuously compounded rate


Assignment:

The world population of Ferrets has increased at a continuously compounded rate from 20 in 1970 to about 60 in 2000. Develop a mathematical model to forecast population growth in future years.

a) Graph the population against time and determine, identify or describe this relationship in your own words. What is the effective percentage rate of growth?

b) Find (or estimate) the number of births (instantaneous rate of change) in 2009 and use this value to estimate the population in 2010.

c) When will the world population double to 120 and what is the average increase per year over this period?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Problem on Continuously compounded rate
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