If the population of a particular country is growing at 24
If the population of a particular country is growing at 2.4 % compounded continuously, how long will it take the population to double?
Please show work
Solution
applying continuous compounding formula
A = Pe^rt
plugging the values in the formula
2P = P e^ (.024t )
dividing both sides by P
2 = e^ (.024t )
ln 2 = .024 t
t = 28.88
therefore, it takes 28.9 years approximately to double
