Question 1195957
Half-Life, 5730 years


{{{y=pe^(-kx)}}}
-

{{{ln(y)=ln(p)-kx*ln(e)}}}

{{{ln(y)=ln(p)-kx}}}

{{{-kx=ln(y)-ln(p)}}}

{{{k=(ln(p)-ln(y))/x}}}

from HALF-LIFE information, {{{k=ln(2)/5730}}}
{{{highlight_green(k=0.000120968)}}}


The form of the model you want to use is from {{{x=(ln(y)-ln(p))/(-k)}}}

{{{x=(1/k)(ln(p)-ln(y))}}}

{{{highlight_green(x=(1/k)(ln(p/y)))}}}


Using the given values, {{{x=(ln(100/76))/0.000120968}}}

{{{highlight(x=2270)}}}