Rent A Van wants a program that calculates the total cost of renting a van. Customers pay a base fee plus a charge per mile driven. Complete an IPO chart for this problem. Desk-check the algorithm using $50, $0.20, and 1000 as the base fee, charge per mile, and number of miles driven, respectively. Then desk-check it using your own set of data
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Max Function
Statistical function is of many categories. One of them is a MAX function. The MAX function returns the largest value from the list of arguments passed to it. MAX function always ignores the empty cells when performing the calculation.
Power Function
A power function is a type of single-term function. Its definition states that it is a variable containing a base value raised to a constant value acting as an exponent. This variable may also have a coefficient. For instance, the area of a circle can be given as:
Rent A Van wants a program that calculates the total cost of renting a van. Customers pay a base fee plus a charge per mile driven. Complete an IPO chart for this problem. Desk-check the
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- Find the first 10 square numbers that are greater than Long.MAX_VALUE. A square number is a number in the form of n2. For example, 4, 9,and 16 are square numbers. Find an efficient approach to run your program fast.Transient PopulationPopulations are affected by the birth and death rate, as well as the number of people who move in and out each year. The birth rate is the percentage increase of the population due to births and the death rate is the percentage decrease of the population due to deaths. Write a program that displays the size of a population for any number of years. The program should ask for the following data: The starting size of a population P The annual birth rate (as a percentage of the population expressed as a fraction in decimal form)B The annual death rate (as a percentage of the population expressed as a fraction in decimal form)D The average annual number of people who have arrived A The average annual number of people who have moved away M The number of years to display nYears Write a function that calculates the size of the population after a year. To calculate the new population after one year, this function should use the formulaN = P + BP - DP + A - Mwhere N is the…Problem Description: In the Whimsical Library, each book is enchanted with a magical code to ensure the protection of knowledge. The validation process for these magical codes involves a combination of mathematical spells. The validation process is described as follows: Take the sum of the digits at odd positions from left to right. Take the sum of the squared digits at even positions from left to right. If the absolute difference between the results from step 1 and step 2 is a prime number, the book code is considered valid; otherwise, it is invalid. Example 1: Consider the magical book code 86420137. Step 1. Take the sum of the digits at odd positions from left to right. 8+4+0+3=15 Step 2. Take the sum of the squared digits at even positions from left to right. 6^2+2^2+1^2+7^2=36+4+1+49 = 90 Step 3. If the absolute difference between the results from step 1 and step 2 is a prime number. 115-901 = 75 (not a prime number) Book code 86420137 is invalid. Example 2: Now, let's examine the…
- Three numbersa. Write a program that reads three numbers and prints “all the same” if they are allthe same, “all different” if they are all different, and “neither” otherwise.b. Write a program that reads three numbers and prints “increasing” if they are inincreasing order, “decreasing” if they are in decreasing order, and “neither”otherwise. Here, “increasing” means “strictly increasing”, with each value largerthan its predecessor. The sequence 3 4 4 would not be considered increasing.c. Repeat part b. but before reading the numbers, ask the user whetherincreasing/decreasing should be “strict” or “lenient”. In lenient mode, thesequence 3 4 4 is increasing and the sequence 4 4 4 is both increasing anddecreasingArranging Pebbles Write a program that can arrange a group of pebbles into its designated position. We have 4 types of pebbles: Red, white, blue, and green colored pebbles. Supposed that we have an n-number of pebbles, the program should be able to check the color of the pebble and arrange them in such a way that it will look something like this: Example, if there are 9 pebbles; 1 green, 3 white, 2 blue, and 3 red, the program will output something like this: RRRWWWBBGThe monthly payment for a givenloan pays the principal and the interest. The monthly interest is computed by multiplyingthe monthly interest rate and the balance (the remaining principal). The principalpaid for the month is therefore the monthly payment minus the monthly interest.Write a program that lets the user enter the loan amount, number of years, and interestrate then displays the amortization schedule for the loan. Here is a sample run: Loan Amount: 10000 ↵EnterNumber of Years: 1 ↵EnterAnnual Interest Rate: 7 ↵EnterMonthly Payment: 865.26Total Payment: 10383.21Payment# Interest Principal Balance1 58.33 806.93 9193.072 53.62 811.64 8381.43...11 10.00 855.26 860.2712 5.01 860.25 0.01
- Arranging Pebbles Write a program that can arrange a group of pebbles into its designated position. We have 4 types of pebbles: Red, white, blue, and green colored pebbles. Supposed that we have an n-number of pebbles, the program should be able to check the color of the pebble and arrange them in such a way that it will look something like this: Example, if there are 9 pebbles; 1 green, 3 white, 2 blue, and 3 red, the program will output something like this: RRRWWWBBG NOTE: The program will let the user to enter the pebbles and then the program will automatically arrange it. Sample output 1: R=Red, W-White, B=Blue, G=Green Enter pebbles: rwgbrgwbrg Arranged pebbles: RRRWWBBGGG Sample output 2: R=Red, W-White, B=Blue, G=Green Enter pebbles: abcde Invalid input Notice that the arrangement of the pebbles is: Red, White, Blue, GreenArchery Scorer. Write a program that draws an archery target (see Pro-gramming Exercise 2 from Chapter 4) and allows the user to click five times to represent arrows shot at the target. Using five-band scoring, abulls-eye (yellow) is worth 9 points and each successive ring is worth 2fewer points down to 1 for white. The program should output a score foreach click and keep track of a running sum for the entire series.The Café Noir Coffee Shop wants some market research on its customers. When a customer places an order, a clerk asks for the customer’s zip code and age. The clerk enters that data as well as the number of items the customer orders. The program operates continuously until the clerk enters a 0 for zip code at the end of the day. When the clerk enters an invalid zip code (more than 5 digits) or an invalid age (defined as less than 10 or more than 110), the program reprompts the clerk continuously. When the clerk enters fewer than 1 or more than 12 items, the program reprompts the clerk two more times. If the clerk enters a high value on the third attempt, the program accepts the high value, but if the clerk enters a negative value onthe third attempt, an error message is displayed and the order is not counted. At the end of the program, display a count of the number of items ordered by customers from the same zip code as the coffee shop (54984), and a count from other zip codes. Also…
- 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,…Make a C program: After beating the record for the quickest time to beat a Hydra, Cody became a local celebrity in Codeville. He decided to hold fan meet-ups every weekend. When he arrived at the first fan meeting, Cody was shocked to see so many people. He didn't know how to give all of these people their equal share of autographs and photos, so he decided to come up with an algorithm. First, he would count the number of fans (n) and determine if the number is even or odd. If they are even he would give n * 2 photos and signatures that day but if it is odd he would give out (n * 2) + 1. Input the number of fans and have Cody print the number of autographs and signatures he will give.Coin Exchange: Write a program that will determine how many coins of each denomination (50kr, 25kr, 10kr, Skr, and 1kr) are required to make up a given amount of change. For example, to make 57kr we could use 1 x 50kr, 1 x 5kr, and 2 x 1kr., It should be obvious that many combinations of coins are possible. For example, in the example above, we could make up 57kr with: (57 x 1kr) or (2 x 25kr and 7 x 1kr). However, your program must use the smallest number of coins (10 points). Example program output: Enter amount: 40 40 Kr = 1 x 25Kr 1х 10Кr 1 x 5Kr