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The cost of purchasing 15 songs each month is 15 * $1.25 = $<<15*1.25=18.75>>18.75 each month.
For 6 months, Cody would have spent $18.75 * 6 = $<<18.75*6=112.50>>112.50.
Adding the joining fee to that amount gives her a total of $112.50 + $24.00 = $<<112.5+24=136.5>>136.50. Answer: \boxed{136.50}.