The half-life of radium-226 is 1600 years. Suppose we have a 23-mg sample.

Algebra
Tutor: None Selected Time limit: 1 Day

(b) Find a function 

m(t) = m0ert
 that models the mass remaining after t years. (Round your r value to six decimal places.) 
m(t) = 
 
Apr 16th, 2015

Using the model for radioactive decay mt = m0 e^-rt:

m0 = 22mg, r =( ln2/1600) = -0.00043
-----------------------------------
A rate cannot be negative.
therefore  r=0.00043 
----------------------------
m(t) = 22e^-0.00043t 


Apr 16th, 2015

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Apr 16th, 2015
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