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Day_2010 Group Title

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! :)

  • one year ago
  • one year ago

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  1. Sheng Group Title
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    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

    • one year ago
  2. Day_2010 Group Title
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    hmm that makes sense, but what I can't figure out is how to apply that to the formula A=A\[_{0}\]^rt

    • one year ago
  3. Day_2010 Group Title
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    |dw:1352091524486:dw|

    • one year ago
  4. Day_2010 Group Title
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    sorry about the sloppiness :)

    • one year ago
  5. Sheng Group Title
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    Ao = initial amount, r = rate, t = time e = natural logarithm

    • one year ago
  6. Sheng Group Title
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    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

    • one year ago
  7. Day_2010 Group Title
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    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?

    • one year ago
  8. Day_2010 Group Title
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    ^have... not had lol

    • one year ago
  9. Sheng Group Title
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    t = 0 for initial time im assuming

    • one year ago
  10. Day_2010 Group Title
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    One sec.. I will write the problem for you to see..

    • one year ago
  11. Day_2010 Group Title
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    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.

    • one year ago
  12. Sheng Group Title
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    is that an rt?

    • one year ago
  13. Day_2010 Group Title
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    the 0.026 = r

    • one year ago
  14. Sheng Group Title
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    oh ok

    • one year ago
  15. Day_2010 Group Title
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    lol sorry it's very sloppy

    • one year ago
  16. Sheng Group Title
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    t = 0 for 2003 because that is the initial population, the 642 million

    • one year ago
  17. Sheng Group Title
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    for any years after 2003, you would do say 2008, 2008-2003 = 5, to t = 5

    • one year ago
  18. Day_2010 Group Title
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    OH hmm that makes plenty of sense... my professor does not do a good job at explaining things lol

    • one year ago
  19. Sheng Group Title
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    np hope it helped

    • one year ago
  20. Day_2010 Group Title
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    so it's zero because it's the initial right? just making sure I understand lol

    • one year ago
  21. Sheng Group Title
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    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 :)

    • one year ago
  22. Day_2010 Group Title
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    Okie dokie! Thanks... I really appreciate the help. :)

    • one year ago
  23. Day_2010 Group Title
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    Your awesome.. I'm looking at my homework and now I understand it. lol

    • one year ago
  24. Sheng Group Title
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    sometimes just takes another perspective in things to understand :)

    • one year ago
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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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