SOLUTION: Given that a deer population of 50 animals is increasing at a rate r of 0.4, how many deer will be added to the population in the first year (at the end of N0)? The Malthusian expo

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Question 946589: Given that a deer population of 50 animals is increasing at a rate r of 0.4, how many deer will be added to the population in the first year (at the end of N0)? The Malthusian exponential growth model is Nt = No + rNo, where r represents the rate of change in population size.
Nt (t for time)1 year = No log + rNo (r is 0.4) log
This is using Malthusian exponential population growth model.
Please answer or at least help explain how to get the answer as I need this for a homework assignment. Thank you so much!

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
You said that your deer population follows the Malthusian exponential growth model, which should be the same as continuous exponential growth model as discussed here:
http://en.wikipedia.org/wiki/Malthusian_growth_model

According to that and your notation,

;
and you have variable assignments, , .

How many deer will be added to the population during the first year, for full ?

This would be

, just basic (maybe a little intermediate) algebra up to this far. Using the software calculator in Windows, added 25 deer, to the nearest whole number.

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