The rate of change, dp/dt, of the number of people at a dance who have heard a rumor is modeled by a logistic differential equation. There are 2000 people at the dance. At 9pm, the numver of people who have heard the rumor is 400

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

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

to complete this square you have to rotate about the origin 270 degrees clockwise.