C A population $P$ is growing at a continuous rate of $3\%$ per year. Which of the following equations represents this information?

$($A$)P=P_0{e}^{1\mathrm{.}03t}$

$($B$)P=P_0{e}^{3t}$

$($C$)\frac{dP}{dt}=P_0{e}^{0\mathrm{.}03t}$

$($D$)\frac{dP}{dt}=0\mathrm{.}03P$

$($E$)\frac{dP}{dt}=1\mathrm{.}03P$