Question 1190107
<font color=black size=3>
A = P*(1+r/n)^(n*t)
7945 = 5000*(1+0.086/2)^(2*t)
7945 = 5000*1.043^(2*t)
5000*1.043^(2*t) = 7945
1.043^(2*t) = 7945/5000
1.043^(2*t) = 1.589
Log[ 1.043^(2*t) ] = Log[ 1.589 ]
2t*Log(1.043) = Log(1.589)
t = 0.5*Log(1.589)/Log(1.043)
t = 5.4999044129978
t = 5.50


It takes about 5.50 years
</font>