Solve for the tax rate t
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An individual's yearly after-tax income can be expressed as $I = 52g(1 - rac{t}{100})$, where $g$ is the weekly gross pay before taxes and $t$ is the tax rate. Which shows the equation solved for the tax rate, $t$? A) $t = 100 - 52Ig$ B) $t = 1 + rac{100I}{52g}$ C) $t = -100 - rac{I}{52g}$ D) $t = rac{I}{52g} + 100$ E) $t = rac{100I}{52g} - 1$ F) $t = 100(1 - rac{I}{52g})$
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In this problem, we are given a formula for an individual's yearly after-tax income and we need to rearrange it to solve for the tax rate, t.
Solving for variable $t$
Let's start by writing down the original formula provided in the question.
Our goal is to isolate t. To begin, let's divide both sides of the equation by fifty-two g.
Now, let's move the constant term one to the other side by subtracting one from both sides.
To make the term with t positive, we can multiply the entire equation by negative one.
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