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

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The half-life of radium-226 is 1600 years. Suppose we have a 23-mg sample.
(a) Find a function
m(t) = m02t/h
that models the mass remaining after t years.
m(t) =

(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) =

(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

Jul 16th, 2015

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Jul 16th, 2015

a.    function m(t) = 23 * 2^(-t/1600)           Answer

b.   0.5er*1600  ; 0.693 = r*1600 hence r = 4.332 x 10^(-4) or 0.00043

hence we can write , m(t) = 23* e^(-0.00043 t)        Answer

c.  m(t) = 23 * 2^(-4000/1600)  solving we get m(t) = 4.06 mg   or 4 mg       Answer

d.  16 = 23 * 2^(-t/1600)  solving we get t  = 837.699 years   or 838 years      Answer

Jul 16th, 2015

hence we can write , m(t) = 23* e^(-0.00043 t)   Answer

this one im having trouble entering

Jul 16th, 2015

Round your r value to six decimal places.)

Jul 16th, 2015

m(t) = 23* e^(-0.000433 t)

Jul 16th, 2015
m(t) = 23* e^(-0.000433 *t)

Jul 16th, 2015

PERFECTO!

Jul 16th, 2015

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Jul 16th, 2015
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Jul 16th, 2015
Dec 8th, 2016
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