Answer:
3857 years
Step-by-step explanation:
The equation is more properly written as ...
[tex]N=N_0e^{-kt} \qquad\text{$N$=amount at time t; $N_0$=initial amount}[/tex]
We are only given the ratio N/N0, so we must divide the given formula by N0 to make it work:
[tex]\dfrac{N}{N_0}=e^{-kt}\\\\0.68=e^{-0.0001t} \qquad\text{fill in given values}\\\\\ln{0.68}=-0.0001t \qquad\text{take the natural log}\\\\t=\dfrac{\ln{0.68}}{-0.0001}\approx 3856.6[/tex]
The hide is about 3857 years old.
Answer:
9943
Step-by-step explanation:
ln0.37/-0.0001 ≈ 9942.522
Answer = 9943
