Question 1102688
 P=0.67x2–0.042x + 1
54,892=0.67x^2-0.042x+1
so 0.67x^2-0.042x-54891=0
x=(1/1.34)(0.042+/- sqrt (0.042^2+4(54891*0.67)); sqrt term is 383.55
x=286.22 positive root
That would be in 2283
check. P(100)=0.67 (10000)-4, or about 6700
P(200)=0.67(40000)-84+1= about 26717
Rounding is fine, but unless the equation I was given is wrong, the calculation, the graph, and the checking all show the result further into the future.
{{{graph(300,300,-100,350,-10000,65000,0.67x^2-0.042x+1)}}}