New machine has productivity (measured in the number of produced details) 12% greater than the last model. after replacing the machines during renovation, a plant has 5% fewer new models than it had old models before. by what percent did the number of produced details on this plant change?

the correct answer to your question is a. 4^4

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geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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