SOLUTION: the amount of radioactive tracer remaining after t days is given by A=A0e^-0.18t, where A0 is the starting amount at the beginning of the time period. How much could be acquired no

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: the amount of radioactive tracer remaining after t days is given by A=A0e^-0.18t, where A0 is the starting amount at the beginning of the time period. How much could be acquired no      Log On


   



Question 62614: the amount of radioactive tracer remaining after t days is given by A=A0e^-0.18t, where A0 is the starting amount at the beginning of the time period. How much could be acquired now to have 40 grams remaining after 3 days?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The amount of radioactive tracer remaining after t days is given by:
:
A=A0e^-0.18t,
where A0 is the starting amount at the beginning of the time period.
How much could be acquired now to have 40 grams remaining after 3 days?
:
That means A = 40, t = 3; find Ao
;
Ao * e^-.18(3) = 40
Ao * e^-54 = 40
find e^-.54 using a good calc
.582748Ao = 40
Ao = 40/.582748
Ao = 68.64 grams
:
Check: 68.64*e^-.54 = 39.99984 ~ 40