Use the approximate half-life formula for the case described below. Discuss whether the formula is valid for the case described. Urban encroachment is causing the area of a forest to decline at the rate of 8% per year. What is the half-life of the forest? What fraction of the forest will remain in 30 years?
What is the half-life of the forest?

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

answer:

step-by-step explanation: