A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1.5% cash on their first $5000 of purchase, 2.5% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.2% on their total annual charges made on the credit card, then what was the customer's annual charge? Choose the correct choice from the following answers: A) $12,500 B) $15,000 C) $17,500 D) $20,000 E) $22,500
The customer receives $75 for the first $5000.   The customer receives $125 for the next $5000.   Let x be the total amount of the customer's annual charge.   $200 + 0.03(x-10,000)=0.022x   0.008x=100   x=12,500   The answer is $12,500.
<result>A</result>
A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1.5% cash on their first $5000 of purchase, 2.5% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.2% on their total annual charges made on the credit card, then what was the customer's annual charge?