Question

I just need the answer for this, no process or explanation needed, thank you!

Answer 1

`t\approx5,108years`

1) Considering that the initial amount of Carbon 14 is 40% (0.4) and each year "t" is given in whole numbers. And we were told the amount of k we can insert into the equation:

`\begin{gathered} N=N_0e^(-kt) \\ 0.6=\left(1\right)e^(-0.0001*t) \\ e^{\left\{-0.0001t\right\}}=0.6 \\ lne^{\left\{-0.0001t\right\}}=ln\left(0.6\right) \\ -0.0001t=ln\left(0.6\right) \\ t=5108.25623 \\ t\approx5108years \end{gathered}`

Note that the initial value is 1 and the last one is 0.6 (40% less).