Problem 14
What are the advantages of problem analysis and algorithm design over directly writing a program in a high-level language?
Problem 15
Design an algorithm to find the weighted average of four test scores. The four test scores and their respective weights are given in the following format: testscore1 weightTestscore1 For example, sample data is as follows: 750.20 950.35 850.15 650.30
Problem 16
Design an algorithm to convert the change given in quarters, dimes, nickels, and pennies into pennies.
Problem 17
Given the radius, in inches, and price of a pizza, design an algorithm to find the price of the pizza per square inch.
Problem 19
Suppose \(a, b,\) and \(c\) denote the lengths of the sides of a triangle. Then the area of the triangle can be calculated using the formula: \\[ \sqrt{s(s-a)(s-b)(s-c)} \\] where \(s=(1 / 2)(a+b+c) .\) Design an algorithm that uses this formula to find the area of a triangle. What information do you need to find the area?
Problem 20
Jason typically uses the Internet to buy various items. If the total cost of the items ordered, at one time, is \(\$ 200\) or more, then the shipping and handling is free; otherwise, the shipping and handling is \(\$ 10\) per item. Design an algorithm that prompts Jason to enter the number of items ordered and the price of each item. The algorithm then outputs the total billing amount. Your algorithm must use a loop (repetition structure) to get the price of each item. (For simplicity, you may assume that Jason orders no more than five items at a time.)
Problem 21
Suppose that the cost of sending an international fax is calculated as follows: The service charge is \(\$ 3.00, \$ .20\) per page for the first 10 pages, and \(\$ 0.10\) for each additional page. Design an algorithm that asks the user to enter the number of pages to be faxed. The algorithm then uses the number of pages to be faxed to calculate the amount due.
Problem 22
An ATM allows a customer to withdraw a maximum of \(\$ 500\) per day. If a customer withdraws more than \(\$ 300\), the service charge is \(4 \%\) of the amount over \(\$ 300 .\) If the customer does not have sufficient money in the account, the ATM informs the customer about the insufficient funds and gives the customer the option to withdraw the money for a service charge of \(\$ 25.00 .\) If there is no money in the account or if the account balance is negative, the ATM does not allow the customer to withdraw any money. If the amount to be withdrawn is greater than \(\$ 500\), the ATM informs the customer about the maximum amount that can be withdrawn. Write an algorithm that allows the customer to enter the amount to be withdrawn. The algorithm then checks the total amount in the account, dispenses the money to the customer, and debits the account by the amount withdrawn and the service charges, if any.
Problem 23
You are given a list of students' names and their test scores. Design an algorithm that does the following: a. Calculates the average test scores. b. Determines and prints the names of all the students whose test scores are below the average test score. c. Determines the highest test score. d. Prints the names of all the students whose test scores are the same as the highest test score.
