c$.$ From the reaction described in part a$,$ a constant concentration of carbon$-14$ exists in the atmosphere. When alive, plants take in that carbon$-14$ during photosynthesis, thus, when the plants die, they all start with $($about$)$ the same concentration of carbon$-14.$ From the reaction described in part $b,$ that carbon decays to nitrogen$-14$ with a half$-$life of $5730$ years. Therefore, by measuring the amount of carbon$-14$ left in dead organic matter, scientists can approximate the age of the remains. Estimate the age of the following based on the $\%$ carbon$14$ left.

i$.$ A ceramic pot with $50\%$ of carbon$-14$ left.

ii$.$ A bird fossil with $25\%$ of carbon$-14$ left.

iii. A Neanderthal fossil with $0\mathrm{.}8\%$ of carbon$-14$ left.