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All Textbook Solutions for Nature of Mathematics (MindTap Course List)

37PS 38PS 39PS 40PS 41PS 42PS 43PS 44PS 45PS 46PS 47PS 48PS 49PS Problem Set. Level 2 Theron needs to purchase mechanical pencils at a cost of 12 each and writing tablets at $15/dozen. He can spend up to 65, but not more. Write an inequality to describe his purchases.51PS 52PS 53PS 54PS 55PS 56PS 57PS 58PS 59PS 60PS 1PS 2PS 3PS 4PS 5PS 6PS 7PS 8PS 9PS 10PS 11PS 12PS 13PS 14PS 15PS 16PS 17PS 18PS 19PS 20PS 21PS 22PS 23PS 24PS 25PS 26PS 27PS 28PS 29PS 30PS 31PS 32PS 33PS 34PS 35PS 36PS 37PS 38PS 39PS 40PS 41PS 42PS 43PS 44PS 45PS 46PS 47PS 48PS 49PS 50PS 51PS 52PS 53PS 54PS 55PS HISTORICAL QUEST In economics, the Laffer curve is an economic model named after Arthur Laffer, but it actually dates back to the 14th century Muslim philosopher Ibn Khaldun. The Laffer curve postulates that no tax revenue will be raised at the extreme tax rates of 0 and 100. If both 0 and 100 rates generate no revenue, but some intermediate tax rate generates some tax revenue, then it follows from a theorem in calculus that there must exist at least one tax rate where lax revenue would be a nonzero maximum. Figure 15 26 is the result of a study done in 2004. National Corporate Tax Revenue 2004 FIGURE 15.26 Historical Laffer curve Suppose a Laffer curve can be represented by the equation y=0.004x2+0.4x where x is the tax rate and y is the revenue as a percent of gross domestic product GDP. a. Graph the Laffer curve whose equation is given. b. If the tax rate is 0,25,50,75and100, what is the tax revenue as a percent of GDP? c. If the tax revenue is given as a percent of the GDP for the Laffer curve shown in Figure 15.27, what tax rate will maximize tax revenue? Figure15.27Laffer curve 57PS 58PS 59PS 60PS IN YOUR OWN WORDS What is a conic section?2PS 3PS 4PS 5PS 6PS 7PS 8PS 9PS 10PS 11PS 12PS 13PS 14PS 15PS 16PS 17PS 18PS 19PS 20PS 21PS 22PS 23PS 24PS 25PS 26PS 27PS Level 2 Sketch the curves using the equations given in Problems 2851. x2+y2=1 29PS 30PS Level 2 Sketch the curves using the equations given in Problems 2851. x2+y2=250 32PS Level 2 Sketch the curves using the equations given in Problems 2851. x225+y236=1 34PS 35PS 36PS 37PS 38PS 39PS 40PS 41PS 42PS 43PS 44PS 45PS 46PS 47PS 48PS 49PS 50PS 51PS 52PS 53PS 54PS 55PS 56PS A radar antenna is constructed so that a cross section along its axis is a parabola with the receiver at the focus. Find the focus if the antenna is 12m across and its depth is 4m, as shown in Figure 15.43.58PS 59PS 60PS IN YOUR OWN WORDS What is a function?2PS 3PS 4PS 5PS 6PS 7PS 8PS 9PS 10PS 11PS 12PS 13PS 14PS 15PS 16PS 17PS 18PS 19PS 20PS 21PS 22PS 23PS 24PS 25PS 26PS 27PS 28PS 29PS 30PS 31PS 32PS 33PS 34PS 35PS 36PS 37PS 38PS 39PS 40PS 41PS 42PS 43PS 44PS 45PS 46PS 47PS 48PS 49PS 50PS 51PS 52PS 53PS 54PS 55PS 56PS 57PS 58PS Find the area of the square as a function of its perimeter.60PS 1CR 2CR 3CR 4CR 5CR 6CR 7CR 8CR 9CR 10CR 11CR 12CR 13CR 14CR 15CR 16CR 17CR 18CR 19CR 20CR IN YOUR OWN WORDS Can you relate to the Fox Trot comic strip at the beginning of this section? Why or Why not? Why might you need to solve a system of equations?2PS 3PS 4PS 5PS 6PS 7PS 8PS 9PS 10PS 11PS 12PS 13PS 14PS 15PS 16PS 17PS 18PS 19PS 20PS 21PS 22PS 23PS 24PS 25PS 26PS 27PS 28PS 29PS 30PS 31PS 32PS 33PS 34PS 35PS 36PS 37PS 38PS 39PS 40PS 41PS 42PS 43PS 44PS 45PS 46PS 47PS 48PS 49PS 50PS 51PS 52PS 53PS 54PS 55PS 56PS 57PS 58PS 59PS 60PS 1PS 2PS Carefully interpret each problem, restate the information and relationships until you are able to write the equations, solve the equations, and state an answer. Problems 1-3 are patterned after Example 1. Forty-two coins have a total value of 6.90. If the coins are all nickels and quarters, how many are nickels?4PS 5PS 6PS 7PS 8PS 9PS 10PS 11PS 12PS 13PS 14PS 15PS 16PS

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