iodine$-125,$ which has a half$-$life of $60\mathrm{.}1$ days. Answer parts a$)$ through c$)$ below.

a$)$ Find the decay rate, $k,$ of iodine$-125.$

$k=($Round to five decimal places as needed.$)$

b$)$ How much energy $($measured in rems$)$ is transmitted in the first month if the initial rate of transmission is $12$ rems per year?

In the first month, $$ rem$($s$)$ are transmitted.

$($Round to five decimal places as needed.$)$