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Guess when the last dollar of QE2 was printed?
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Your marginal tax rate is the rate you pay on the "last dollar" you earn; but when you view the taxes you paid as a percentage of your income, your effective tax rate is less than your marginal rate, especially after you take into account the deductions and exemptions, i.e. income that is not subject to any tax.
"He's got the first dollar and the last dollar I ever made," he grouses, pointing out that "Pumping Iron" out-grossed "Terminator 3" when both were released last week on DVD.
The marginal tax rate is the percentage paid on the last dollar a person earns.
First, the more a given government spends, the less benefit accrues from the last dollar spent.
Not the last dollar, but all of it.
"Optimal" in this case refers to the policy that equates the cost and benefit of the last dollar spent.
"A lot of brands don't have the discipline to stop chasing the last dollar".
We're not fighting tooth and nail for the last dollar".
The marginal benefit of the last dollar spent on adaptation (right-hand side) is expressed in terms of the share of production that would be lost if that dollar were spent elsewhere.
Write down everything you buy down to the last dollar.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com