Answer:
34.35 mg.
Step-by-step explanation:
We have been given that a radioactive substance decays exponentially. A scientist begins (t=0) with 200 milligrams of a radioactive substance, where the variable t represents time (in hours). After 24 hours, 100 mg of the substance remain.
We know that an exponential decay function is in form
, where,
A(t) = Final amount,
a = Initial value,
b = Decay rate,
t = time.
For our problem initial value (a) is 200, final amount is 100 and time is 24.

Let us solve for b.



So our required function is
.
Substitute
in above equation:





Therefore, 34.35 milligrams of substance will remain after 37 hours.