The number of bacteria in a petri dishes 524 and growing at a rate of 7% every month how many bacteria will be there in seven months

7% = 0.07

 since it is growing add that to 1 = 1.07

 now that is to the power of length of time 1.07^7

now multiply

524 x 1.07^7 = 841.429 ( round answer as needed)

the answer is 5/3x+7/5y+7

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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