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The half-life of the radioactive material cesium-137 is 30 years. Suppose we have a 180-mg sample....

The half-life of the radioactive material cesium-137 is 30 years. Suppose we have a 180-mg sample.

(a) Write a formula that gives the mass that remains after t years. (Round the relative growth rate to four decimal places.)
A(t) =  


(b) How much of the sample remains after 100 years? (Round your answer to two decimal places.)
mg

(c) After how long will only 1 mg remain? (Round your answer to one decimal place.)
years

(d) At what rate is the mass decreasing after 100 years? (Round your answer to two decimal places.)
mg per year

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