An Open Box Is to Be Made from a Square $a = 38 - 2 x$

question 15

Multiple Choice

An open box is to be made from a square piece of material,38 inches on a side,by cutting equal squares with sides of length x from the corners and turning up the sides (see figure) ​ ​ where $a = 38 - 2 x$ .
Determine the domain of the following function,V(x) represents the volume of the box .​ $V ( x ) = x ( 38 - 2 x ) ^ { 2 }$ ​

• A)Domain: \(0 < x \leq 19\)
• B)Domain: \(0 \leq x \leq 38\)
• C)Domain: \(0 < x < 38\)
• D)Domain: \(0 \leq x \leq 19\)
• E)Domain: \(0 < x < 19\)

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Definitions:

Annual Dividend

The total amount of dividends that a company pays to its shareholders for each share they own in a given fiscal year.

Rate of Return

The profit or deficit experienced by an investment within a certain timeframe, depicted as a percentage of the investment's original price.

Required Return

The minimum expected return investors demand for an investment, considering its risk.