Example
Imagine that there are three tax brackets: 10%, 20%, and 30%. The 10% rate applies to income from $1 to $10,000; the 20% rate applies to income from $10,001 to $20,000; and the 30% rate applies to all income above $20,000.
Under this system, someone earning $10,000 would be taxed at a rate of 10%, paying a total of $1,000. Someone earning $5,000 would pay $500, and so on.
Meanwhile, someone earning $35,000 would face a more complicated calculation. The rate on the first $10,000 would be 10%; the rate from $10,001 to $20,000 would be 20%; and the rate above that would be 30%. Thus, he would pay $1,000 for the first $10,000 of income; $2,000 for the second $10,000 of income; and $4,500 for the last $15,000 of income; in total, he would pay $7,500, or about 21.4%.
Read more about this topic: Tax Bracket
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“Our intellect is not the most subtle, the most powerful, the most appropriate, instrument for revealing the truth. It is life that, little by little, example by example, permits us to see that what is most important to our heart, or to our mind, is learned not by reasoning but through other agencies. Then it is that the intellect, observing their superiority, abdicates its control to them upon reasoned grounds and agrees to become their collaborator and lackey.”
—Marcel Proust (18711922)