5% of $89.95 is $4.4975. After subtracting this discount from the original price, the DVD player costs $85.4525. Rounded to the nearest cent, the final price is $85.45.
To find the cost of the $89.95 DVD player after a 5% discount, we need to first figure out how much 5% of $89.95 is. This is done by multiplying $89.95 by 0.05 (which is the decimal equivalent of 5%).
So, $89.95 * 0.05 = $4.4975. This is the amount of the discount.
Now, to find the final price after the discount, we subtract the discount from the original price. Therefore, $89.95 - $4.4975 = $85.4525.
However, we need to round this to the nearest cent, which makes it $85.45.
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