Let a, b, c denote the statements: "It is raining", "It is humid", "It is sunny". Represent the following statement with propositional logic: "It is not raining, and it is humid, and it is not sunny." Group of answer choices A) ¬a ∧ b ∧ ¬c B) a ∧ b ∧ ¬c C) a ∧ b ∧ c D) a ∧ ¬b ∧ ¬c

Let a, b, c denote the statements: "It is raining", "It is humid", "It is sunny". Represent the following statement with propositional logic: "It is not raining, and it is humid, and it is not sunny." Group of answer choices A) ¬a ∧ b ∧ ¬c B) a ∧ b ∧ ¬c C) a ∧ b ∧ c D) a ∧ ¬b ∧ ¬c

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 1TF

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When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)
(Conversion) Write a C++ program that converts gallons to liters. The program should display gallons from 10 to 20 in 1-gallon increments and the corresponding liter equivalents. Use the relationship that 1gallon=3.785liters.
(Conversion) a. Write a C++ program to convert meters to feet. The program should request the starting meter value, the number of conversions to be made, and the increment between metric values. The display should have appropriate headings and list the meters and the corresponding feet value. If the number of iterations is greater than 10, have your program substitute a default increment of 10. Use the relationship that 1 meter = 3.281 feet. b. Run the program written in Exercise 6a on a computer. Verify that your program begins at the correct starting meter value and contains the exact number of conversions specified in your input data. c. Modify the program written in Exercise 6a to request the starting meter value, the ending meter value, and the increment. Instead of the condition checking for a fixed count, the condition checks for the ending meter value. If the number of iterations is greater than 20, have your program substitute a default increment of (ending value - starting value) / 19.
(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft
What is the value of each of the following Boolean expressions? 54 3=3 2+45 6==7 2+4=6 3+4==4+3 1!=2 2!=2 5==72 3+9=0
Consider the definition of the class product Type as given in Exercise 8. Answer the following questions. (1, 2, 3, 5, 7) a. Write the definition of the function set so that instance variables are set according to the paramaters. Instance variables quantitieslnStock, price, and discount must be nonnegative. b. Write the definition of the function print to output the values of the instance variables. c Write the definition of the function setQuantitiesInStock to set the value of the instance variable quantitiesInStock according to the parameter. d. Write the definition of the function updateQuantitiesInStock to update the value of instance variable quantitiesInStock by adding the value of the parameter. e. Write the definition of the function getQuantitiesInStock to return the value of instance variable quantitiesInStock. f. Write the definition of the function setPrice to set the value of the instance variable price according to the parameter. g. Write the definition of the function getPrice to return the value of the instance variable price. h. Write the definition of the function setDiscount to set the value of the instance variable discount according to the parameter. i. Write the definition of the function getDiscount to return the value of the instance variable discount.
(Heat transfer) The formula developed in Exercise 5 can be used to determine the cooling time, t, caused only by radiation, of each planet in the solar system. For convenience, this formula is repeated here (see Exercise 5 for a definition of each symbol): t=Nk2eAT3fin A=surfaceareaofasphere=4r2 N=numberofatoms=volumeofthespherevolumeofanatom Volume of a sphere sphere=43radius3 The volume of a single atom is approximately 11029m3 . Using this information and the current temperatures and radii listed in the following chart, determine the time it took each planet to cool to its current temperature, caused only by radiation.