A particular compound decays according to the equation y = ae-0.09741 Let the original amount of the compound be 100 grams and the amount left after one half-life is 50 grams. Solve fort to find the number of days in a half-life.
9.7 days

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15 batches are the most you can make

step-by-step explanation:

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

b, i believe, but not sure.