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A credit card company offers an annual 2% cash-back rebate on all gasoline purchases. If a family spent $5800 on gasoline purchases over the course of a year, what was the family's rebate at the end of the year?

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Final answer:

The family's rebate at the end of the year would be $116.

Step-by-step explanation:

To calculate the family's rebate at the end of the year, we need to multiply their total gasoline purchases by the cash-back rebate percentage. In this case, the family spent $5800 on gasoline purchases. The cash-back rebate is 2% of the total amount spent. Therefore, the rebate amount would be $5800 multiplied by 2%, which is $116.

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