Day_2010
  • Day_2010
Can someone explain the exponential growth formula in layman's terms? I really need the help understanding the concept, any help will be greatly appreciated! :)
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
ok say...i have some amount of money deposited in a bank collecting interest given time the amount will "exponentially increase" because interest is based on how much money i have since each year my money will increase, as time increases, interest exponentially increases. example 2. bacterial growth...say you start off with 1 colony of bacteria, given enough time/resources, it will exponentially grow
Day_2010
  • Day_2010
hmm that makes sense, but what I can't figure out is how to apply that to the formula A=A\[_{0}\]^rt
Day_2010
  • Day_2010
|dw:1352091524486:dw|

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Day_2010
  • Day_2010
sorry about the sloppiness :)
anonymous
  • anonymous
Ao = initial amount, r = rate, t = time e = natural logarithm
anonymous
  • anonymous
so say given a scenario...i have $1000 deposited at a rate of 7% interest per year, how much will i have in 100 years
Day_2010
  • Day_2010
I had a problem understanding "after year 2003" or whatever year it may be in a "problem"... they say to input t=0 ..... why does t=zero?
Day_2010
  • Day_2010
^have... not had lol
anonymous
  • anonymous
t = 0 for initial time im assuming
Day_2010
  • Day_2010
One sec.. I will write the problem for you to see..
Day_2010
  • Day_2010
The exponential model |dw:1352091910349:dw| describes the population, A, of a country in millions, t years after 2003. .... use the model to determine when the population of the country will be 771 million.
anonymous
  • anonymous
is that an rt?
Day_2010
  • Day_2010
the 0.026 = r
anonymous
  • anonymous
oh ok
Day_2010
  • Day_2010
lol sorry it's very sloppy
anonymous
  • anonymous
t = 0 for 2003 because that is the initial population, the 642 million
anonymous
  • anonymous
for any years after 2003, you would do say 2008, 2008-2003 = 5, to t = 5
Day_2010
  • Day_2010
OH hmm that makes plenty of sense... my professor does not do a good job at explaining things lol
anonymous
  • anonymous
np hope it helped
Day_2010
  • Day_2010
so it's zero because it's the initial right? just making sure I understand lol
anonymous
  • anonymous
it's zero because you are given the initial population at year 2003 remember Ao = 642 million, so if t is any value but 0 for 2003, you would get a different number for Ao, which wouldn't be the case :)
Day_2010
  • Day_2010
Okie dokie! Thanks... I really appreciate the help. :)
Day_2010
  • Day_2010
Your awesome.. I'm looking at my homework and now I understand it. lol
anonymous
  • anonymous
sometimes just takes another perspective in things to understand :)

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