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6 April, 01:14

The value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after 2017. Write a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650.

Do not use any dollar signs in the inequality. Write the inequality in standard form.

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  1. 6 April, 04:42
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    General exponential equation

    y = A (1+r) ^x

    where

    A = initial value

    r = rate increase (+) or decrease (-)

    x = time period of the change

    y = projected value

    y = 300 (1.05) ^x

    in this problem, x = years after 2017

    we want to find an x that makes the value more than or equal to 650

    650 < = 300 (1.05) ^x
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