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// A multilevel hierarchy using System; class TwoDShape { double pri_width; double pri_height; // Default constructor public TwoDShape() { Width = Height = 00; } // Constructor for TwoDShape public TwoDShape(double w, double h) { Width = w; Height = h; } // Construct object with equal width and height public TwoDShape(double x) { Width = Height = x; } // Properties for Width and Height public double Width { get { return pri_width; } set { pri_width = value < 0 -value : value; } } public double Height { get { return pri_height; } set { pri_height = value < 0 -value : value; } } public void ShowDim() { ConsoleWriteLine("Width and height are " + Width + " and " + Height); } } // A derived class of TwoDShape for triangles class Triangle : TwoDShape { string Style; // private /* A default constructor This invokes the default constructor of TwoDShape */ public Triangle() { Style = "null"; }

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SOLUTION Let P be the initial principal deposited in the account on the day of the nephew s birth Using our compound interest equation ( ), we have 100000 = P e11 21/100 , expressing the fact that after 21 years at 11% interest compounded continuously we want the value of the account to be $100,000 Solving for P gives P = 100000 e 011 21 = 100000 e 231 = 992613 The aunt needs to endow the fund with an initial $992613 You Try It: Suppose that we want a certain endowment to pay $50,000 in cash ten years from now The endowment will be set up today with $5,000 principal and locked in at a xed interest rate What interest rate (compounded continuously) is needed to guarantee the desired payoff

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// Constructor public Triangle(string s, double w, double h) : base(w, h) { Style = s; } // Construct an isosceles triangle public Triangle(double x) : base(x) { Style = "isosceles"; } // Return area of triangle public double Area() { return Width * Height / 2; } // Display a triangle's style public void ShowStyle() { ConsoleWriteLine("Triangle is " + Style); } } // Extend Triangle class ColorTriangle : Triangle { string color; public ColorTriangle(string c, string s, double w, double h) : base(s, w, h) { color = c; } // Display the color public void ShowColor() { ConsoleWriteLine("Color is " + color); } } class Shapes6 { static void Main() { ColorTriangle t1 = new ColorTriangle("Blue", "right", 80, 120); ColorTriangle t2 = new ColorTriangle("Red", "isosceles", 20, 20); ConsoleWriteLine("Info for t1: "); t1ShowStyle(); t1ShowDim(); t1ShowColor(); ConsoleWriteLine("Area is " + t1Area()); ConsoleWriteLine(); ConsoleWriteLine("Info for t2: "); t2ShowStyle(); t2ShowDim(); t2ShowColor();

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