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9 December, 02:49

Joey saved $2 today. if he doubles the number of dollars he saves each day, how many days, including today, will it take him to save more than $500?

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  1. 9 December, 03:01
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    As the days go by:

    1*2

    2*2

    4*2 by the third day, Joey has (2^2) * 2 dollars

    8*2 by the 4th day, Joey has (2^3) * 2 dollars

    16*2 by the 5th day, Joey has (2^4) * 2 dollars

    so by the nth day, he has 2^ (n-1) * 2, which is 2^n

    2^n>500

    n is about 9
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