On July 1st: You put in another $100.
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On the last day of July:
They compute your interest...

On August 1st: You put in another $100.

On the last day of August:
They compute your interest...

On September 1st: You put in another $100.
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On the last day of September:
They compute your interest...
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On October 1st: You put in another $100.
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On the last day of October: Interest
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On November 1st: Another $100
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On the last day of November: Interest
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On December 1st: Another $100
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On the last day of December: Interest

So, if you invest $100 at the beginning of each month at 12% compounded monthly, at the end of the year, you'll have $1280.93.
Your total interest earned is $80.93.