Answer
8.5 years
Work Step by Step
$P=6000$
$A=10000$
$r=.06$
$n=12$
$A=P*(1+(r/n))^{n*t}$
$10000=6000*(1+(.06/12))^{12*t}$
$10000/6000=6000*(1+(.06/12))^{12*t}/6000$
$5/3 = 1.005^{12*t}$
$ln (5/3) = 12*t*ln 1.005$
$ln (5/3) / ln 1.005 = 12*t*ln 1.005/ln 1.005$
$102.42 = 12*t$
$102.42/12 =12*t/12$
$8.535 = t$
