How many months will money become three times itself at 6% compounded semiannually

y = (1.06*0.5)/3

then y roundeddown then multiplied by 6 isyour answer

3A  = A ( 1 + .06 / 2)^(N * 2)    where N is in years

3  =  (1.03)^(2N)   take the log of both sides

log 3  = log (1.03)^(2N)

log 3  =  (2N) log (1.03)

N  =  log (3)  [ 2 log (1.03)]   ≈  18.58 years  ≈ 18 years  and 7 months  = 223  months