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Prelude to Programming
6th Edition
ISBN: 9780133750423
Author: VENIT, Stewart
Publisher: Pearson Education
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Chapter 1, Problem 28RE
Program Plan Intro
a. To evaluate the value of expression X * Y ^ 2 / 12.
Program Plan Intro
b. To evaluate the value of expression ((X + Y) * 2 − (Y − X) * 4) ˆ 2.
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Suppose you want to deposit a certain amount of money into a savings account, and thenleave it alone to draw interest for the next 10 years. At the end of 10 years, you would like tohave $10,000 in the account. How much do you need to deposit today to make that happen?You can use the following formula, which is known as the present value formula, to find out:The terms in the formula are as follows: [5 marks]• P is the present value, or the amount that you need to deposit today.• F is the future value that you want in the account. (In this case, F is $10,000.)• r is the annual interest rate.• n is the number of years that you plan to let the money sit in the account.Write a method named presentValue that performs this calculation. The method should accept the future value, annual interest rate, and number of years asarguments. It should return the present value, which is the amount that you need to deposit today.Demonstrate the method in a program that lets the user experiment with…
Chapter 1 Solutions
Prelude to Programming
Ch. 1 - A computer _________________ is a list of...Ch. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - The term _______________ refers to the numbers,...Ch. 1 - The first of the following statements WriteEnter...Ch. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - In most programming languages, variables that...Ch. 1 - Prob. 9RECh. 1 - A(n) __________ statement is displayed on the...
Ch. 1 - A floating point variable requires __________...Ch. 1 - Roughly speaking, a(n) _____ is any symbol that...Ch. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - A rational number is any number that can be...Ch. 1 - T A number stored as an integer takes up less...Ch. 1 - If the value of the variable MyAge is 3, then the...Ch. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Suppose X=3 and Y=4. If all parentheses were...Ch. 1 - Suppose X=14. Give the value of each of the...Ch. 1 - Suppose X=12,Y=6, and Z=5. Give the value of each...Ch. 1 - What is the difference between the following two...Ch. 1 - Given that the variable named Boy =Joey� and the...Ch. 1 - Prob. 35RECh. 1 - Write a pair of statements that prompts for and...Ch. 1 - Write a pair of statements that prompts for and...Ch. 1 - Write a series of statements that does the...Ch. 1 - Write a series of statements that does the...Ch. 1 - Suppose that Number1=15 and Number2=12 are both of...Ch. 1 - If Name1=Marcy,Text1=isnow,Text2=yearsold., and...Ch. 1 - It Character1 and Character2 are single...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Prob. 49RECh. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Write a list of instructions (like those that...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...
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- Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…arrow_forwardThe n'h Fibonacci Number can be calculated using the following formula: 1+ V5 :): V5 1 1 – V5. -)" –(- -)") Create a function with argument n where n is a nonnegative integer and returns the n'h Fibonacci Number. Note that the result won't be exact due to computer limitations of storing all decimal values. Use the round() function (e.g. round(12.4) results in 12 and round(12.5) results in 13) Note 1 Import math package inside the function and use math.sqrt() function. Note 2 There is no need to ask for input or print the output. Just submit the function with the following format: Соpy def fib(int1): # Your code here where int1) is a nonnegative integer. The function returns (1, 2, 5 when the arguments are (1, 3 and 5, respectively.arrow_forwardGiven the number of people attending a pizza party, output the number of needed pizzas and total cost. For the calculation, assume that people eat 2 slices on average and each pizza has 12 slices and costs $14.95. Output each floating-point value with two digits after the decimal point, which can be achieved as follows:print('Cost: ${:.2f}'.format(cost)) Hint: Use the ceil() function from the math module to round up the number of pizzas so that enough pizzas are ordered. Ex: If the input is: 4 the output is: Pizzas: 1 Cost: $14.95arrow_forward
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