$E(t)$ models the daily amount of energy (in kilojoules, $\text{kJ}$) that a solar panel in Pago Pago generates, $t$ days after the autumn equinox. Here, $t$ is entered in radians. >$E(t) = {624}\sin\left({\dfrac{2\pi}{365}}t\right) + {8736}$ **What is the first day after the autumn equinox that the solar panel generates $8400\text{ kJ}$?** *Round your final answer to the nearest whole day.* [[☃ numeric-input 1]] days