The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. iron has a half-life of 2.7 years. which equation gives the mass of a 200 mg iron sample remaining after t years, and approximately how many milligrams remain after 12 years?

Part a)

Part b) 9.2 mg

Step-by-step explanation:

The complete question is

The function f(h)=m(1/2)^h gives the mass, m, of a radioactive substance remaining after h half-lives. Iron has a half-life of 2.7 years. Which equation gives the mass of a 200 mg Iron sample remaining after t years, and approximately how many milligrams remain after 12 years?

The given function is

we know that

The exponential decay with a half-life model that express the amount of material that remains at time t is given by the equation

where

A_0 is the initial amount

h is the half-life in years

Part a) Which equation gives the mass of a 200 mg Iron sample remaining after t years?

we have

substitute in the equation

Part b) How many milligrams remain after 12 years?

For

substitute in the equation of Part a)

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