Question 31649
Solve for k:
{{{B = 10e^(kt)}}}
Substitute B = 2167 and t = 15
{{{2167 = 10e^15k)}}} Divide both sides by 10.
{{{216.7 = e^(15k)}}} Take the natural log of both sides.
{{{ln(216.7) = 15kln(e)}}} Substitute {{{ln(e) = 1}}}
{{{ln(216.7) = 15k}}} Divide both sides by 15.
{{{k = (ln(216.7))/15}}}
{{{k = 0.35856}}} Round to nearest thousandth.
k = 0.359