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Alice earns d dollars and has / percent of what she earns deducted for taxes. Ho
Alice earns d dollars and has / percent of what she earns deducted for taxes. Ho
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2024-01-12
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问题
Alice earns d dollars and has / percent of what she earns deducted for taxes. How much of what she earns does Alice have left after taxes?
选项
A、d(1 - 100t)dollars
B、d(1 -10t)dollars
C、d(1-t)dollars
D、d(1 -0.1t)dollars
E、d(1 -0.01t)dollars
答案
E
解析
Recall that t percent can be expressed as t/100, or 0.01t. Therefore, the amount that Alice has deducted for taxes, which is / percent of d dollars, can be expressed as 0.01td dollars. The amount that Alice has left after taxes is the amount that she earns minus the amount that she has deducted for taxes, or d - 0.01td dollars. Note that d - 0.01td is an algebraic expression with two terms, each containing d as a factor. Factoring out d from each term results in the algebraic expression d(1— 0.01t). The correct answer is Choice E.
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