Answer
15 years
Work Step by Step
Grow population from 400 to 1000
6.2% growth rate
$1000=400*1.062^x$
$1000/400 =400*1.062^x/400$
$2.5 =1.062^x$
$ln 2.5 = x* ln 1.062$
$ln 2.5/ln 1.062 = x*ln 1.062/ln 1.062$
$.91629/.06015 = x$
$15.232 =x$