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