Answer:
[tex]4.2\text{ minutes}[/tex]
Explanation:
Here, we want to get the number of minutes it will take for 14 mg of the substance to remain
We can have an exponential equation that describes the scenario as follows:
where A(t) is the amount remaining after t minutes
and t is the number of minutes
[tex]\begin{gathered} A(t)=60(0.5)^{\frac{t}{2}} \\ (\frac{14}{60})^2=0.5^t \\ 0.054=0.5^t \\ \ln \text{ 0.054 = tln0.5} \\ t\text{ = }\frac{\ln \text{ 0.054}}{\ln \text{ 0.5}} \\ t\text{ = }4.2\text{ minutes} \end{gathered}[/tex]
