Question 1130481
Last one tonight and I believe this will help complete my study guide for this chapter.  Thank you in advance.

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 Superscript -kt)
−kt where k is the decay​ rate, and P0 is the original amount of chemical.
The​ half-life of the chemical is ___years.
​(Round to the nearest​ integer.)
<pre>{{{matrix(1,3, P(t), "=", P[o]e^(-kt))}}} 
{{{matrix(1,3, P(t)/P[o], "=", e^(- kt))}}}
{{{matrix(1,3, 1/2, "=", e^(- .095t))}}} ------- Substituting {{{matrix(1,7, 1/2, for, P(t)/P[o], and, .095, for, k)}}}
{{{matrix(1,3, - .095t, "=", ln (1/2))}}} ----- Converting to LOGARITHMIC (Natural) form
{{{highlight_green(matrix(1,8, t, "=", ln (1/2)/(- .095), "=", 7.296, or, 7, years))}}}