SOLUTION: The population of a southern city follows the exponential law.
A) if N is the population of the city and t is the time in years, express N as a function of t
B) if the populatio
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Question 1078425: The population of a southern city follows the exponential law.
A) if N is the population of the city and t is the time in years, express N as a function of t
B) if the population doubled in size over an 18 month period and the current population is 10,000 what will the population be 2 years from now
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
N=Noe^kt. Let t=number of months.
N/No=2=e^k(18)
ln 2=ln (e^18k)=18k
k=ln2/18=0.03850
t now equals 24 with the new population of 10,000
N=Noe^(24k);
N=10000^(24*0.0385)=10000*e^0.924
N=25,193.
This is consistent with doubling and then increasing more in the 6 months after the doubling.
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