Answer:
14 days
Step-by-step explanation:
The half life of a substance is the time required until the object has only half of the inicial mass.
So, to find the inicial mass of the object, we use t = 0 in the equation A(t):
A(0) = 600*e^0 = 600
Half of this mass is 300, so we can use A(t) = 300 and then find the time:
300 = 600e^-0.05t
e^-0.05t = 0.5
ln(e^-0.05t) = ln(0.5)
-0.05t = -0.6931
t = 13.862 days
Rounding to nearest day, we have that t = 14 days
