An ecologist has been studying a rat population in a large city. He notices that for all 3 years of the study, the rat population has demonstrated an exponential growth rate of 50%. Assuming that there is 1 rat generation per year, and the initial size of the rat population was 1,000, how many rats will there be in the population by the end of the third year?

what are the statements

step-by-step explanation:

r and t.

both are 64 degrees.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204