E(t)E, left parenthesis, t, right parenthesis models the daily amount of energy (in kilojoules, \text{kJ}kJstart text, k, J, end text) that a solar panel in Pago Pago generates, ttt days after the autumn equinox. Here, ttt is entered in radians. E(t) = {624}\sin\left({\dfrac{2\pi}{365}}t \right) + {8736}E(t)=624sin( 365 2π t)+8736E, left parenthesis, t, right parenthesis, equals, 624, sine, left parenthesis, start fraction, 2, pi, divided by, 365, end fraction, t, right parenthesis, plus, 8736 What is the first day after the autumn equinox that the solar panel generates 8400\text{ kJ}8400 kJ8400, start text, space, k, J, end text? Round your final answer to the nearest whole day.