Michael is buying a new pair of headphones from an electronics store. The headphones cost $15.50, but Michael has a coupon that will reduce the cost by $4.00. He must pay 6% sales tax on the discounted price of the headphones. How much will Michael pay in total for the headphones, including tax?

Michael pays $12.19 for the headphones including the tax.

Step-by-step explanation:

The initial price of the headphones was $15.50

When Michael uses his coupon, the price is decreased by $4, then the new price will be:

$15.50 - $4 = $11.50

Now Michael must pay 6% for taxes (on the discounted price), then he must pay:

$11.50 + (6%/100%)*$11.50

$11.50 + 0.06*$11.50

$11.50*1.06 = $12.19

Then Michael pays $12.19 for the headphones including tax.

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step-by-step explanation:

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

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