Problema Solution
Use the formula N=Ie^(kt), where N is the population at time (t), I is the initial population, and (k) is a growth constant equal to the percent of growth (expressed in decimal form) per unit of time. How long will it take for the population of a certain country to double if its annual growth rate is 6%? Round your answer to the nearest year.
Answer provided by our tutors
N=Ie^(kt)
k = 6% or 0.06
the population of a certain country will double means N = 2I
2I=Ie^(0.06t) divide both sides by I
e^(0.06t) = 2
0.06t = ln(2)
t = ln(2)/0.06
t = 11.55 years
t = 12 years rounded to the nearest year
click here to see the step by step calculation