Question
The population of a certain country grows according to the formula
N=N0e^kt
where N is the number of people(in millions) after t years,N0 is the initial number of people(in millions) and k=1/20In 5/4.Calculate the doubling time of this population.Leave your answer in terms of In.Do not use a calculator.
please help i have no idea where to start
N=N0e^kt
where N is the number of people(in millions) after t years,N0 is the initial number of people(in millions) and k=1/20In 5/4.Calculate the doubling time of this population.Leave your answer in terms of In.Do not use a calculator.
please help i have no idea where to start
Answers
Reiny
use the property:
ln(e^x) = x
2 = 1 e^(kt)
ln 2 = kt
t = ln2/k , replace k with the given value
ln(e^x) = x
2 = 1 e^(kt)
ln 2 = kt
t = ln2/k , replace k with the given value