Solve and round to the thousandths place.

Question

A radio active isotope decays according to the exponential decay equation where t is in days. 

 

Round to the thousandths place. 

 

For the half life: The half life is the solution (t) of the equation : a2=ae−7.444t

 

 

 

Answer 1

a/2 = ae^-7.444t

 

Divide by a on both sides:

 

e^-7.444t= 1/2 

 

Take a natural log of both sides

 

-7.444t = ln (1/2)

 

t = (ln .5)/(-7.444) = 0.093 days