Half Life Formula Precalc. So we have 1/2 as much of our compound left. The equation you will use to describe exponential growth and decay is \(a(t)=a_o e^{kt}\), where a is the amount.
How much of a 10 g sample will be left after 0.003 seconds? Using maple for a numerical estiamte of the age we obtain: Ln(a(m)) − ln(a0) m = k.
Exponential Decay Equation Tessshebaylo
Learn the half life formula here. Then this value of k can be substituted in, and since we know a0, we can complete our function of a(t) = a0ekt (note that t is still our independent variable, a(t) our dependent variable, and e a constant approx. If we mess with this a bit, we can make it simpler: Learn the half life formula here.
