Question

PLEASE HELP???
m'=-0.02m
What is the half life? [hint: solve the equation then find at what time your solution gives half the inital mass]
Here the time is measured in days

Answer 1

\[\frac{dm}{dt}=-0.02m\\
\frac{dm}{m}=-0.02 dt\\
\int\frac{dm}{m}=\int-0.02 dt\\
\ln m=-0.02t+c\\
m=e^{-0.02t+c}\\
\quad=m_0e^{-0.02t}\]