SOLUTION: Use the exponential decay equation given below, where A is the amount of a radioactive material present after time t, k is the half-life of the radioactive material, and A0 is the

Algebra ->  Finance -> SOLUTION: Use the exponential decay equation given below, where A is the amount of a radioactive material present after time t, k is the half-life of the radioactive material, and A0 is the       Log On


   



Question 1127646: Use the exponential decay equation given below, where A is the amount of a radioactive material present after time t, k is the half-life of the radioactive material, and A0 is the original amount of radioactive substance.
A=A0(1/2)^t/k
Iodine-131 is an isotope that is used to study the functioning of the thyroid gland. This isotope has a half-life of approximately 8 days. A patient is given an injection that contains 8 micrograms of iodine-131. (Round your answers to one decimal place.)
(a) What will be the amount of iodine in the patient after 11 days?
(b) How long (in days) will it take for the amount of iodine in the patient to reach 5 micrograms?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A=A0(1/2)^t/k

It should be like this:
A=A[o](1/2)^(t/k)

To appear best as A=A%5Bo%5D%281%2F2%29%5E%28t%2Fk%29.


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This isotope has a half-life of approximately 8 days. A patient is given an injection that contains 8 micrograms of iodine-131. (Round your answers to one decimal place.)
(a) What will be the amount of iodine in the patient after 11 days?
(b) How long (in days) will it take for the amount of iodine in the patient to reach 5 micrograms?
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The description before the two questions:
A=8%281%2F2%29%5E%28t%2F8%29

You should be able to handle (a) and (b).


(b)
Just a hint

Solve for t, either before or after making the substitutions.
Decide what base you want.

log%28%28A%29%29=log%28%288%29%29%2Blog%28%28%281%2F2%29%5E%28t%2F8%29%29%29
log%28%28A%29%29=log%28%288%29%29%2B%28t%2F8%29%2Alog%28%281%2F2%29%29
.
.
.