Question 819019
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Hi
 In General {{{A = P(1+r/n)^(nt)}}}
A = Accumulated Amount 1000
P= principal = 500
r= annual rate = .08
n= periods per year = 4 
t= years =  t
{{{2 = (1+.08/2)^(4t)}}}
{{{2 = (1.04)^(4t)}}}
{{{ log 2/(4log(1.04)) = t}}}