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https://prnt.sc/pnmpbf

 

answer: 360

 Oct 24, 2019
 #1
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I think 360 is just the number of bees within 30 days, well we have to add the starting bees, so 360+27=387

 Oct 24, 2019
 #2
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No, not quite. There were 27 bees when they were discovered. After 3 days, there were 36 bees. Right?

What was the INCREASE in 3  days? 

 

36 / 27 = 1.333333..........There was an increase of  33.33% over 3 days. And after 30 days?

30 / 3 = 10 periods of 33.33% INCREASE, because the bees are multiplying "exponentially". That means:

(1.3333333.....)^10 =17.7577 - this is the total growth in the population of the original 27 bees.

So, 27 x 17.7577 =479.458 = ~479 bees after 30 days.

 Oct 24, 2019
 #3
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We have that

 

N  =  a0bx       

 

Where N  =  the number of bees after  x days  and  a0  is the number of bees on day 0

 

So we have that

 

36 =  27b3      divide both sides by  27

 

36/27    = b3

 

4/3  = b3       take the cube root

 

∛[4/3]  = b

 

After 30 days there are

 

N  = 27*(∛[4/3])30 ≈  479  bees

 

 

cool cool cool

 Oct 24, 2019

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