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)

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )