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Math Help - Average Value

  1. #1
    VkL
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    Average Value

    The value, V of a Tiffany lamp, worth $225 in 1965, increases at 15% per year. Its value in dollars t years after 1965 is given by V = 225(1.15)^t. Find the average value of the lamp over the period 1965-2000

    -Can some1 please explain to me how to do this? I understand average value is 1 / b-a. But how do i set up the integral? from 0 to 45? or from 1965 - 2000 ?
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    Quote Originally Posted by VkL View Post
    The value, V of a Tiffany lamp, worth $225 in 1965, increases at 15% per year. Its value in dollars t years after 1965 is given by V = 225(1.15)^t. Find the average value of the lamp over the period 1965-2000

    -Can some1 please explain to me how to do this? I understand average value is 1 / b-a. But how do i set up the integral? from 0 to 45? or from 1965 - 2000 ?
    Neither!

    The problem gives the value "t years after 1965" so the value of t starts at 1965-1965= 0 and ends at 2000- 1965= 35, not 45.

    The average value is \frac{225\int_0^{35} (1.15)^t dt}{35}.
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