For this case we have an equation of the form:
[tex]y = A * (b) ^ t
[/tex]
Where,
A: initial amount
b: growth rate
t: time in years.
Substituting values we have:
[tex]y = 430000 * (1,015) ^ t
[/tex]
By the time the population is triple we have:
[tex]3 * 430000 = 430000 * (1,015) ^ t
[/tex]
Rewriting we have:
[tex]3 = (1,015) ^ t
[/tex]
Clearing t we have:
[tex]t = log1.015 (3)
t = 73.78876233
t = 73 years[/tex]
Answer:
It will take for the population to triple about:
t = 73 years
