Answer
$2017.994$
Work Step by Step
Our equation is: $0.07x^2+47.4x+500=1177\\0.07x^2+47.4x-677=0\\7x^2+4740x-67700=0$
According to the quadratic formula: $x=\frac{-4740\pm\sqrt{(4740)^2-4(7)(-67700)}}{2(7)}$
$x_1\approx-691.14$, $x_2\approx13.994$.
$x$ has to be positive, thus $x\approx13.994$. Thus it will happen in $\approx2004+13.994=2017.994$ which is very close to what we got in part a).
