Question 136072: Could someone please show me through the steps on how to go about solving this word problem? Thank You very much!
Coyotes are one of the few species of North American animals with an expanding range. The future population of coyotes in a region of Mississippi can be modeled by the equation P=42+20ln(11t+1), where t is time in years. Use the equation to determine when the population will reach 180. (Round to the nearest tenth of a year.) The answer is 90.1 years but I don't know how they got that. Thanks again!
Answer by oscargut(2103)   (Show Source):
You can put this solution on YOUR website! P=42+20ln(11t+1)
so
180=42+20ln(11t+1)
then
138=20ln(11t+1)
ln(11t+1)=138/20=6,9
then
exp(ln(11t+1))=exp(6,9)
11t+1=992,2747
11t=991,2747
t=90,1
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