The expression that can be used to determine the number of years that it would take to have a balance of $600 is In2 ÷ In[tex]e^{0.005}[/tex].
When an amount is compounded continously, it means that both the amount deposited and the interest already accrued increases in value continously over a period of time.
Time = In(FV/PV) ÷ In([tex]e^{0.005}[/tex]
In2 ÷ In[tex]e^{0.005}[/tex]