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3 July, 23:20

As a town gets smaller, the population of its high school decreases by 6% each year, teh senior class has 250 students now. in how many years will it have about 100 students

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  1. 3 July, 23:28
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    An equation to solve for the time when the high school will have exactly 100 students is (1-.06) ^x = (250/100).

    That simplifies to 94^x =.4.

    We can then take the log of both sides to isolate the x variable from the exponent. Here's with natural log.

    x*ln (.94) = ln (.4)

    x = ln (.4) / ln (.94)

    Solving this gives x ~ = 14.80. So in about 15 years, the high school will have 100 students.
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