Question 1130962

Hello, I am building a study guide and I need a working example of this problem so I can study it for the exam next week.  Can someone help me solve, thank you.

The decay rate of a certain chemical is 9.5​% per year. What is its ​half-life?  Use the exponential decay model ​P(t)
=P0e subscript -kt where k is the decay​ rate, and P0 is the original amount of chemical.
The​ half-life of the chemical is ______years.
<pre>{{{matrix(1,3, P(t), "=", P[o]e^(- kt))}}}
{{{matrix(1,3, 1/2, "=", e^(- .095t))}}} ------- Substituting {{{1/2}}} for P(t), and .095 (9.5%) for k
{{{matrix(1,3, - .095t, "=", ln (1/2))}}}
Half-life of the chemical, or {{{highlight_green(matrix(1,6, t, "=", ln (1/2)/(-.095), "=", 7.296286111, years))}}}