Question

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A scientist has a 10-mg sample of a radioactive isotope. The isotope has a half-life of 8 days. After 16 days, how much of the radioactive isotope remains? 1.2.0 mg2.2.5 mg 3.5.7 mg 4.7.1 mg

Answer 1

its b on edg

Explanation:

its B I answered the question on my test and got it correct

Answer 2

2.5 mg

Explanation:

We are given that

A=Initial amount=10 mg

Half life,h=8 days

We have to find the mass of radioactive isotope remains after 16 days.

t=16 days

We know that the amount of radioactive isotope after t days is given by

`P(t)=A(1(1)/(2)^{(t)/(h))`

Using the formula

`P(t)=10((1)/(2)^{(16)/(8)})`

`P(t)=10* ((1)/(2))^2`

`P(t)=2.5 mg`