Sam paid $475 wholesale for a bathtub that sells for $699 retail. what discount was given, to the nearest percent?

well, 699 - 475 is 224, so that was the discount amount.

if we take 699 as the 100%, what is 224 off of it as a percentage?

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