Question 886038
Your basic goal is to know for how much time the initial amount will become tripled.  You do not need to know the $5000 investment initial amount.  For what time t will {{{A=3P}}}?


{{{A=Pe^(rt)}}}
{{{3P=Pe^(rt)}}}
{{{3=e^(rt)}}}
{{{ln(3)=ln(e^(rt))}}}
{{{ln(3)=rt*1}}}
{{{highlight(t=ln(3)/r)}}} this is your fundamental solution in symbolic form.  Now, {{{r=0.04}}}.  One computation using a logarithm and division and solved for t.




-------
27 years