Description
The half-life of radium-226 is 1600 years. Suppose we have a 23-mg sample.
(a) Find a function
(b) Find a function
(c) How much of the sample will remain after 4000 years? (Round your answer to one decimal place.)
mg
(d) After how long will only 16 mg of the sample remain? (Round your answer to the nearest year.)
m(t) = m02−t/h
that models the mass remaining after t years. m(t) =
(b) Find a function
m(t) = m0e−rt
that models the mass remaining after t years. (Round your r value to six decimal places.) m(t) =
(c) How much of the sample will remain after 4000 years? (Round your answer to one decimal place.)
mg
(d) After how long will only 16 mg of the sample remain? (Round your answer to the nearest year.)
t = yr
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