Answer:
So it will take roughly 18.4471905815477 years.
(round appropriately if needed)
Step-by-step explanation:
A=P(1+r/n)^(nt)
6000=2000(1+0.06/4)^(4*t)
6000/2000 = (1+0.06/4)^(4*t)
3 = (1+0.06/4)^(4*t)
3 = (1.015)^(4*t)
log(3) = log((1.015)^(4*t))
log(3) = 4*t*log(1.015)
log(3)/(4*log(1.015)) = t
t = log(3)/(4*log(1.015))
t = 18.4471905815477