Results 1 to 3 of 3

Math Help - exponential growth function

  1. #1
    Newbie
    Joined
    Aug 2008
    Posts
    2

    exponential growth function

    I dont know if this is the right place for this thread.

    1.) A picture supposedly painted by Vermeer (1632-1675) contains 99.5% of its carbon-14 (half-life 5730 yrs) From this information decide whether the picture is a fake. Explain reasoning.

    I know the equation for exponential growth/half life stuff is P=(Po)(e^kt)

    I dont know where to go from there.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by student4200 View Post
    I dont know if this is the right place for this thread.

    1.) A picture supposedly painted by Vermeer (1632-1675) contains 99.5% of its carbon-14 (half-life 5730 yrs) From this information decide whether the picture is a fake. Explain reasoning.

    I know the equation for exponential growth/half life stuff is P=(Po)(e^kt)

    I dont know where to go from there.
    Note that \frac{P}{P_0}=.995

    Then find k: \lambda=\frac{\ln(2)}{k}\implies k=\frac{\ln(2)}{\lambda}, where \lambda is the half-life.

    Note that since we're dealing with decay, the equation would have the form P=P_0e^{{\color{red}-}kt}

    Once you find k, substitute this into your equation:

    .995=e^{-kt}

    Then solve for t.

    Does this make sense?

    --Chris
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by student4200 View Post
    I dont know if this is the right place for this thread.

    1.) A picture supposedly painted by Vermeer (1632-1675) contains 99.5% of its carbon-14 (half-life 5730 yrs) From this information decide whether the picture is a fake. Explain reasoning.

    I know the equation for exponential growth/half life stuff is P=(Po)(e^kt)

    I dont know where to go from there.
    If probability and/or statistics was at all relevant to your question then this would be the right place to post this question .......
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Growth Factor / Exponential Function
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: July 18th 2010, 07:05 AM
  2. Replies: 5
    Last Post: April 8th 2010, 03:23 AM
  3. Exponential growth
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 22nd 2010, 07:38 AM
  4. Exponential growth
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 24th 2010, 07:16 PM
  5. exponential growth
    Posted in the Pre-Calculus Forum
    Replies: 14
    Last Post: August 20th 2007, 01:33 PM

Search Tags


/mathhelpforum @mathhelpforum