You are given a list of students’ names and their test scores. Design an algorithm that Determines the highest test score.

You are given a list of students names and their test scores. Design an algorithm that does the following:

1. Calculates the average test scores.
2. Determines and prints the names of all the students whose test scores are below the average test score.
3. Determines the highest test score.
4. Prints the names of all the students whose test scores are the same as the highest test score.

(You must divide this problem into subproblems as follows: The first subproblem determines the average test score. The second subproblem determines and prints the names of all the students whose test scores are below the average test score. The third subproblem determines the highest test score. The fourth subproblem prints the names of all the students whose test scores are the same as the highest test score. The main algorithm combines the solutions of the subproblems.)

You are given a list of student's 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.

(Each of the parts a, b, c, and d must be solved as a subproblem. The main algorithm combines the solutions of the subproblems.)

(Find the highest score) Write a program that prompts the user to enter the number of students and each student's name and score, and finally displays the name of the student with the highest score. Use the next() method in the Scanner class to read a name, rather than using the nextLine() method.

You are given a list of students’ names and their test scores. Design an algorithm that Prints the names of all the students whose test scores are the same as the highest test score. (Each of the parts 23a, 23b, 23c, and 23d must be solved as a subproblem. The main algorithm combines the solutions of the subproblems.)

A student spends a majority of his weekend playing and watching sports, thereby tiring him out and leading him to oversleep and often miss his Monday 8 AM math class. Suppose that the tuition per semester is $25,000 and the average semester consists of 15 units. If the math class meets three days a week, one hour each day for 15 weeks, and is a four unit course, how much does each hour of math class cost the student? Design an algorithm that computes the cost of each math class. (9)

To make telephone numbers easier to remember, some companies use letters to show their telephone number. For example, using letters, the telephone number 438-5626 can be shown as GET LOAN. In some cases, to make a telephone number meaningful, companies might use more than seven letters. For example, 225-5466 can be displayed as CALL HOME, which uses eight letters. Write a program that prompts the user to enter a telephone number expressed in letters and outputs the corresponding telephone number in digits. If the user enters more than seven letters, then process only the first seven letters. Also output the - (hyphen) after the third digit. Allow the user to use both uppercase and lowercase letters as well as spaces between words. Moreover, your program should process as many telephone numbers as the user wants.

Design an algorithm to find the real roots of a quadratic equation of the form $a x^2+b x+c=0$, where a, b, and c are real numbers, and a is nonzero.

To make telephone numbers easier to remember, some companies use letters to show their telephone number. For example, using letters, the telephone number 438-5626 can be shown as GET LOAN. In some cases, to make a telephone number meaningful, companies might use more than seven letters. For example, 225-5466 can be displayed as CALL HOME, which uses eight letters. Write a program that prompts the user to enter a telephone number expressed in letters and outputs the corresponding telephone number in digits. If the user enters more than seven letters, then process only the first seven letters. Also output the – (hyphen) after the third digit. Allow the user to use both uppercase and lowercase letters as well as spaces between words.

Moreover, your program should process as many telephone numbers as the user wants.

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.

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.

Tom and Jerry opened a new lawn service. They provide three types of services: mowing, fertilizing, and planting trees. The cost of mowing is $35.00 per 5000 square yards, fertilizing is$30.00 per application, and planting a tree is $50.00. Write an algorithm that prompts the user to enter the area of the lawn, the number of fertilizing applications, and the number of trees to be planted. The algorithm then determines the billing amount. (Assume that the user orders all three services.)

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.

The volume of a sphere is $(4.0 / 3.0) \pi r^3$ and the surface is $4.0 \pi r^2$, where $r$ is the radius of the sphere. Given the radius, design an algorithm that computes the volume and surface area of the sphere. Also, write the $\mathrm{C}++$ statement corresponding to each statement in the algorithm. (You may assume that $\pi=3.141592$.)