can someone help me with this? i would like to get walked through it.
At noon, Professor Simon has a petri dish with 10,000 cells of Bacteria A. In another petri dish, he has 33,000 cells of Bacteria B. Every hour, Bacteria A grows by 8%. Every hour Bacteria B cells die off, decreasing the number of cells by 6%. After how many hours will there be more cells of Bacteria A than of Bacteria B?

Question

can someone help me with this? i would like to  get walked through it. 
At noon, Professor Simon has a petri dish with 10,000 cells of Bacteria A. In another petri dish, he has 33,000 cells of Bacteria B. Every hour, Bacteria A grows by 8%. Every hour Bacteria B cells die off, decreasing the number of cells by 6%. After how many hours will there be more cells of Bacteria A than of Bacteria B?

shiraz14 · Answer

Well, Professor Simon can use the following equation to find the smallest integer n which satisfies it - this will give him the number of hours there will be more cells of Bacteria A than Bacteria B:

10000*[1.08^(n-1)] ≥ 33000*[0.94^(n-1)]

:D

anonymous · Answer

I tried using that equation and it doesn't make sense to me? Could you explain it further. I'm on this same problem and can't figure out how to solve it. @shiraz14