Last month, Emily received 20 paychecks while working part-time at a bookstore. The first 8 paychecks were valued at \$500 each, and the remaining paychecks saw an increase of \$40 each. Round to the nearest dollar, what was the mean amount of her paychecks for the entire month?

To find the mean paycheck, calculate the total amount earned and divide by the number of paychecks, which is 20. The first 8 paychecks total 8 multiplied by 500, which is 4000 dollars. The remaining 12 paychecks are valued at 540 dollars each, totaling 12 multiplied by 540, which is 6480 dollars. The grand total is 10480 dollars, and dividing this by 20 gives a mean of 524 dollars.

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