5:18 PM Thu Apr 9 * 53%( Business and Economics 39. Labor force. The percentage of the U.S. civilian labor force aged 45-54 can be modeled by the function f given by flx) = – 0.0115x² + 0.125x + 81.7, where x is the number of years after 1994. (Source: Based on data from www.bls.gov.) Sketch the graph of this function for 0 < x < 25, and find the year in which the percentage of the labor force aged 45-54 was highest. 40. Labor force. The size of the U.S. civilian labor force aged 16-24 can be modeled by the function g given by g(x) %3D — 8.145х* + 147.05х + 21, 612, where g(x) is the size of the civilian labor force, in thousands, x years after 1994. (Source: Based on data from www.bls.gov.) Graph this function for 0 < x < 25, and find the year in which the size of the civilian labor force aged 16-24 was highest. 41. Sales saturation. The Gottahavit device is introduced in a market with 150,000,000 potential buyers. The unit sales are modeled by the function s given by sx) = – 0.0131lx³ + 0.661x² – 2.021x + 6.865, where s is total sales, in millions of units, x months after the device was released. a. Find the point of inflection, and interpret its meaning in terms of the rate of change in sales. b. Graph y = s(x) for 0 < x < 30. 42. Investing. Jeff owns two properties. The combined value, A(t), of the two properties, t years after Jeff's initial investment in them, is given by 0.025t 0.04t A(t) = 10,000e" + 15,000e a. After how many years will the combined value of the two properties be a minimum, and what will the combined value be at that time? b. Graph y = A(t) for 0

Q: a) How many students are taking Art?

A: the number of students taking Art if given by 6+10=16

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A: topic - quadratic equations

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A: The quadratic function has vertex (-2,3) and a point on graph 1, 12

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A: This integral can be solved easily by writing hyperbolic sine in terms of exponentials as explained…

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A: This is improper integral of first kind, limit is ♾️

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.