Answer:
14 years
Step-by-step explanation:
Using the general growth formula
[tex]F=P(1+r/100)^{n}[/tex] where F is future population, P is present population, n is years and r is rate in percentage.
Substituting 26000 for future population F, 19000 for present population P and 2.3% for rate
[tex]26000=19000(1+2.3/100)^{n}[/tex]
[tex](1+0.023)^{n}=\frac {26000}{19000}[/tex]
[tex]1.023^{n}=\frac {26000}{19000}[/tex]
Introducing natural logarithms on both sides
n ln 1.023=ln(\frac {26000}{19000})[/tex]
n=(ln 26/19)/(ln 1.023)=13.79351958 years
Rounding off, n=14 years
