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)

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you