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You have just purchased a stereo system that cost $1,000 on the following credit plan: no down payment, an interest rate of per year (1.5% per month), and monthly payments of $50.
The monthly payment of $50 is used to pay the interest, and whatever is left is used to pay part of the remaining debt. Hence, the first month you pay 1.5% of $1,000 in interest. That is $15 in interest. The remaining $35 is deducted from your debt, which leaves you with a debt of $965.00. The next month you pay interest of 1.5% of $965.00, which is $14.48. Hence, you can deduct $35.52 (which is $50 - $14.48) from the amount you owe.
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- At QT Sugar factory the amounts which go into bag of sugar are supposed to be normally distributed with mean 36 kg and standard deviation 0.1 kg. Once every 30 minutes a bag is selected from the production line, and its contents are noted precisely. If the amount of the bag goes below 35.8 kg or above 36.2 kg, then the bag will be declared out of control. a) If the process is in control, meaning u = 36 kg and o= 0.1 kg, find the probability that the bag will be declared out of control. b) In the situation of (a), find the probability that the number of bag found out of control in an eight-hour day (16 inspections) will be zero. c) In the situation of (a), find the probability that the number of bag found out control in an eight- hour day (16 inspections) will be exactly one. d) If the process shifts so that u =37 kg and o=0.4 kg find the probability that a bag will be declared out of control.arrow_forwardA basic safe type of investment is an annuity: one makes monthly deposits of size P for n months at a fixed annual interest rate r, and at maturity collects the amount 12P n r ((₁ + 2)² − ¹) 12 r (This is not the definition of annuity that you may be familiar with, but the calculation is part of any accumulation of funds over time.) Say you want to create an annuity for a term of 300 months and final value of 1,000,000 dollars. Using nlsolve, make a table of the interest rate you will need to get for each of the different contribution values P 500 + 50k, k = 0, ..., 10. - Hint: if you write a function for the value of annuity, or the difference between this value and one million dollars with several arguments (P, r, n), you can then create a new function of just the one variabler for each value of P in a loop. The table and pretty tables approach used in homework 2 will be helpful here.arrow_forwardSuppose you have a certain amount of money in a savings account that earns compoundmonthly interest, and you want to calculate the amount that you will have after a specificnumber of months. The formula is as follows: F=P×(1+i)tF=P×(1+i)t The terms in the formula are: • F is the future value of the account after the specified time period.• P is the present value of the account.• i is the monthly interest rate.• t is the number of months.• F is the future value of the account after the specified time period.• P is the present value of the account.• i is the monthly interest rate.• t is the number of months. $$ Write a program that prompts the user to enter the account’s present value, monthly interest rate, and the number of months that the money will be left in the account. The program should pass these values to a function that returns the future value of the account, after the specified number of months. The program should display the account’s future value.arrow_forward
- Write the pseudocode for the following scenario: A manager at a 2nd hand car dealership wants to keep track of the amount (in Rands) of commission paid to the sales people. You must take the following into consideration: • There may be more than one salesperson (each salesperson has a unique employee code)– input the employee code. An employee code of zero (0) terminates the program. • The salesperson’s commission is based on their sales (in Rands) in the past month- input the sales for each salesperson. • Calculate the total car sales (in Rands). • Calculate a salesperson’s commission (in Rands). Commission is based on the following table: Total value of cars sold Percentage commission earned Less than or equal to R500 000 10% More than R500 000 15% • Calculate the total commission the manager must pay to all of the salespeople. • Display a report for the manager in the following format: Employee Code: 2 Sales: R400000 Commission: R40000 Employee Code: 4 Sales: R650000…arrow_forwardYou are working for a lumber company, and your employer would like a program that calculates the cost of lumber for an order. The company sells pine, fir, cedar, maple, and oak lumber. Lumber is priced by board feet. One board foot equals one square foot that is one inch thick. The price per board foot is given in the following table: The lumber is sold in different dimensions (specified in inches of width and height, and feet of length) that need to be converted to board feet. For example, a 2 x 4 x 8 piece is 2 inches wide, 4 inches high, and 8 feet long, and is equivalent to 5.333 board feet (2 * 4 * 8 = 64, which when divided by 12 = 5.333 board feet). An entry from the user will be in the form of a letter and four integer numbers. The integers are the number of pieces, width, height, and length. The letter will be one of P, F, C, M, O (corresponding to the five kinds of wood) or T, meaning total. When the letter is T, there are no integers following it on the line. The program…arrow_forwardSuppose you are a computer salesman and your income depend on the total sales and commissions earned for the computers that you sell. Commission rates vary depending on how many units you sold (see chart below). Your income equals to the total sales plus the commission where the commission equals to total sales times the commission rate. That is, commission = total sales * commission rate and income = total sales + commission. Total Sales Commission rate % Less than 200 sold 8% Greater or equal to 200 sold 10% Greater than to 400 sold 12% 1. Provide the user the commission rate list above. 2. After displaying the list, prompt the user to input the total sales. 3. Display the total income. Input: The input to your program will be from the keyboard (using Scanner). Output: The output of your program should be to the screen and include the correct answers. Run: Run it three times to be sure all possible values of the if logic works correctly.arrow_forward
- (Data processing) Your professor has asked you to write a C++ program that determines grades at the end of the semester. For each student, identified by an integer number between 1 and 60, four exam grades must be kept, and two final grade averages must be computed. The first grade average is simply the average of all four grades. The second grade average is computed by weighting the four grades as follows: The first grade gets a weight of 0.2, the second grade gets a weight of 0.3, the third grade gets a weight of 0.3, and the fourth grade gets a weight of 0.2. That is, the final grade is computed as follows: 0.2grade1+0.3grade2+0.3grade3+0.2grade4 Using this information, construct a 60-by-7 two-dimensional array, in which the first column is used for the student number, the next four columns for the grades, and the last two columns for the computed final grades. The program’s output should be a display of the data in the completed array. For testing purposes, the professor has provided the following data:arrow_forwardA hotel has a certain number of rooms. Each room can be either single bed or double bed type and may be AC or non-AC type. The rooms have different rates depending on whether they are of single or double, AC or Non-AC types. The room tariff however may vary during different parts of the year depending up on the occupancy rate. For this, the computer should be able to display the average occupancy rate for a given month, so that the manager can revise the room tariff for the next month either upwards or downwards by a certain percentage. Perform structured analysis and structured design for this Hotel Automation Software—software that would automate the book keeping activities of a 5-star hotel.Guests can reserve rooms in advance or can reserve rooms on the spot depending upon availability of rooms. The receptionist would enter data pertaining to guests such as their arrival time, advance paid, approximate duration of stay, and the type of the room required. Depending on this data and…arrow_forwardSummary When you borrow money to buy a house, a car, or for some other purposes, then you typically repay it by making periodic payments. Suppose that the loan amount is L, r is the interest rate per year, m is the number of payments in a year, and the loan is for t years. Suppose that i = (r / m) and r is in decimal. Then the periodic payment is (first image which R=....): You can also calculate the unpaid loan balance after making certain payments. For example, the unpaid balance after making k payments is (second image which L'=....) : where R is the periodic payment. (Note that if the payments are monthly, then m = 12.) Instructions Write a program that prompts the user to input the values of L, r, m, t, and k. The program then outputs the appropriate values. Your program must contain at least two functions, with appropriate parameters, to calculate the periodic payments and the unpaid balance after certain payments. Make the program menu driven and use a loop so that the…arrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage LearningC++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrNp Ms Office 365/Excel 2016 I NtermedComputer ScienceISBN:9781337508841Author:CareyPublisher:Cengage