Suppose a population is growing according to the logistic formula  N = 550/1.75e-0.41t +1  where t is measured in years. (a) Suppose that today there are 200 individuals in the population. Find a new logistic formula for the population using the same K and r values as the formula above, but with an initial value 200. (Round equation parameters to two decimal places.) N =520/1.75e-0.41t +1       (b) How long does it take the population to grow from 200 to 432 using the formula in part (a)? (Round your answer to two decimal places.) t =  ?  yr

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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Suppose a population is growing according to the logistic formula 

N = 550/1.75e-0.41t +1

 where t is measured in years.

(a) Suppose that today there are 200 individuals in the population. Find a new logistic formula for the population using the same K and r values as the formula above, but with an initial value 200. (Round equation parameters to two decimal places.)
N =520/1.75e-0.41t +1
 
 
 

(b) How long does it take the population to grow from 200 to 432 using the formula in part (a)? (Round your answer to two decimal places.)
t =  ?
 yr
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