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HOMOGENEOUS OF DEGREE N: A property of an equation the exists if independent variables are increased by a constant value, then the dependent variable is increased by the value raised to the power of n. The value of n can be greater than, less than, or equal to one. This property often surfaces in the analysis of production functions. If n = 1, then a doubling independent variables results in a doubling of the dependent variable and the production function has constant returns to scale. If n > 1, then a doubling independent variables results in more than a doubling of the dependent variable and the production function has increasing returns to scale. If n < 1, then a doubling independent variables results in less than a doubling of the dependent variable and the production function has decreasing returns to scale.

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AD VALOREM TAX

A tax specified as a percentage of the price or value of a good, service, asset, or other activity. Ad valorem taxes tend to be broad based, imposed on activities such as income and retail sales. In fact, the two most important ad valorem taxes are income taxes and sales taxes. People pay a percentage of their incomes in income taxes or a percentage or the value of their purchases in sales taxes, regardless of the amount of time spent working or the quantities of goods purchases. An alternative is a per unit tax, with is a tax specified as a percentage of the physical quantity of a good.

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Much of the $15 million used by the United States to finance the Louisiana Purchase from France was borrowed from European banks.
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