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We know that
• The original price is $55.25.
,• There is 15% off.
,• The tax is 7%.
Remember that taxes are applied after the discount. So, first, we have to find 15% of $55.25.
[tex]0.15\cdot55.25=8.29[/tex]The discount is $8.29. Let's find the price after the discount.
[tex]55.25-8.29=46.96[/tex]The new price is $46.96.
Then, we apply taxes. Let's find the 7% of $46.96.
[tex]0.07\cdot46.96=3.29[/tex]The taxes are $3.29.
Then, we sum to find the final price
[tex]46.96+3.29=50.25[/tex]