What is an example first order half life problem?

Consider the first-order half-life decay of ${}_6^{14}C$. Given that the half-life is 5730 yrs,
calculate the rate constant for this process in $s^{-1}$ (use the conversion 365.24 days = 1 yr).
Given an initial concentration of 0.50M, calculate the initial rate of this process in M/s.
Equations you will need:
$t_{1/2}=\frac{\ln 2}{k}$
(first-order half-life)
$r(t)=k{[}_6^{14}C]$
(first-order rate law)
Answers:
$k=3.83\times {10}^{-12}{s}^{-1}$
$r(t)=1.92\times {10}^{-12}M/s$