SOLUTION: A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours? This is where I am at so far: 60 minutes = 1 hour 300 minutes = 5 hours a

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Question 181705: A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
This is where I am at so far:
60 minutes = 1 hour
300 minutes = 5 hours
a cell divides into 2 every 4 minutes
300/4 = 75
75^2 = 5625
I feel that there is something that I missed please look it over and let me know. Thank you

Found 3 solutions by Mathtut, stanbon, solver91311:
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website!
ohhhhhhhhhhhhhhhhhhhhh sooooooooooo cloooooossssssse
:
reverse the 75 and the 2
:
it should be =3.77789319 *
:
quite the difference eh???

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
This is where I am at so far:
60 minutes = 1 hour
300 minutes = 5 hours
a cell divides into 2 every 4 minutes
-------------
Growth formula:
A(t) = A(o)(2)^(t/4) where t is number of minutes after t = 0
------------------------------------------------------------------
A(300) = 1*2^(300/4)
A(300) = 2^(75)
A(300) = 3.77x10^22 cells
============================
Cheers,
Stan H.

Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

Missed it by that much.

First of all, the doubling is only going to occur 74 times in 5 hours because it doesn't split until after the first 4 minutes has passed. So after the first 4 minutes has passed you have 296 minutes left, and 296 divided by 4 is 74.

If something is going to double 74 times, then you need

I'd express this as

Yep, that's a mighty big number. By contrast, the Economic Stimulus Package, about 825 billion, is

John