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To find the final cost of the computer game, we need to calculate the discounted price twice.
First, let's calculate the discount when it was marked down by 15%:
Discount amount = 15% of $49.99 = 0.15 * $49.99 = $7.50
Discounted price = $49.99 - $7.50 = $42.49
Next, let's calculate the discount when it was moved to the clearance rack and marked down by 50%:
Discount amount = 50% of $42.49 = 0.50 * $42.49 = $21.25
Final cost = $42.49 - $21.25 = $21.24
Therefore, the final cost of the computer game is $21.24.