Aradioactive substance decays exponentially. a scientist begins (t=0) with 200 milligrams of a radioactive substance, where the variable t t represents time (in hours). after 24 hours, 100 mg of the substance remain. how many milligrams will remain at t= 37 hours?

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.

answer: $34.31

step-by-step explanation:

$11.99 x 3 = $35.97

$35.97 - 10% = $32.37

$32.37 + 6% = $34.31