A nuclide has a decay rate of $2.00 \times 10^{10} \mathrm{s}^{-1} .$ After
25.0 days, its decay rate is $6.25 \times 10^{8} \mathrm{s}^{-1}$. What is the nuclide's half-life? (a) 25.0 d; (b) 12.5 d; (c) 50.0 d; (d) $5.00 \mathrm{d} ;$ (e) none of these.