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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.)The 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 0.01Tom and Jerry opened a new lawn service. They provide three types of services: mowing, fertilizing, and planting trees. The cost of mowing is $40.00 per 5000 square yards, fertilizing is $50.00 per application, and planting a tree is $45.00. 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, then read in those values. The algorithm then computes and outputs the billing amount. (Assume that the user orders all three services.)
- 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 5,000 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.) (9) Submit your answer to dropbox.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 5,000 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.)Need this written in the PYTHON language. Step 1: Ask the user to enter the length of their room (in feet). Step 2: Ask the user to enter the width of their room (in feet). Step 3: Calculate the area (in square feet) of the room by multiplying the length and the width of the room. For example, if a room is 20 feet wide by 24 feet long, then its area is 20 * 24 = 480 square feet Step 4: Display a menu that asks the user how much shade the room gets. The menu should have the following options: Little Shade Moderate Shade Abundant Shade Step 5: Determine the capacity of the air conditioning unit that is needed for a moderately shaded room by using the information in the table below. Room Size (sq. ft) AC capacity (BTUs/hr) Less than 250 5,500 250 to 500 10,000 501 to 1,000 17,500 Over 1,000 24,000 If the room has little shade, then the BTU capacity should be increased by 15% since the air conditioning unit must be able to produce extra…
- Airline companies apply baggage restrictions for their passengers. An airline company has decided to apply a 10kg limitation for passengers' hand luggage and 20kg for their normal baggage. When passengers arrive, they enter their hand and normal luggage weight from the keyboard. If passengers exceed their normal baggage allowance of 10 dollars per gram, they pay 12 dollars per kg. Accordingly, write the program that calculates the baggage price of the airline they will go to according to the baggage values entered by the arriving passenger and keeps this from closing the program for each passenger. Note: If hand and normal baggage allowances are stretched below the maximum value, the payment amount will be considered not negative. An example printout is given on the right. Geri bildirim gönderWhen Jacob Steinberg began his trip from California to Vermont, he filled his car’s tank with gas and reset its trip meter to 0. After traveling 324 miles, Jacob stopped at a gas station to refuel; the gas tank required 17 gallons. Jacob wants a program that calculates and displays his car’s gas mileage at any time during the trip. The gas mileage is the number of miles his car can be driven per gallon of gas. Desk-check your solution’s algorithm using 324 as the number of miles driven and 17 as the number of gallons used; then desk-check it using 280 and 15.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,…
- Python code for a sim card store where there are many customers in line who can apply for a new sim and pay their bills. Input: Input the number of customers Names of the customers Their concern for visiting the store : They can choose 1 if they are going to pay bills and 2 if they are applying for a new sim. Process: The customers who chose 1 or have to pay bills can be dealt with first because their work will take less time. This method will save time for many customers in line and avoid unnecessary waiting. Output: Arranged list of the customers where customers who chose 1 will be the first in line Example: Number of customers: 3 Names of customers: Rose Moon Sun choose 1 - pay bills choose 2 - apply for sim Their concern for visiting the store (1 or 2) : 1 2 1 …… In line Customer name: Rose Sun MoonYou are given a list of students’ names and their test scores. Design an algorithm that does the following:Calculates the average test scores.Determines and prints the names of all the students whose test scores are below the average test score.Determines the highest test score.Prints the names of all the students whose test scores are the same as the highest test score.Instructions A local biologist needs a program to predict population growth. The inputs would be: 1. The initial number of organisms, as an int 2. The rate of growth (a real number greater than 1), as a float 3. The number of hours it takes to achieve this rate, as an int 4. A number of hours during which the population grows, as an int For example, one might start with a population of 500 organisms, a growth rate of 2, and a growth period to achieve this rate of 6 hours. Assuming that none of the organisms die, this would imply that this population would double in size every 6 hours. Thus, after allowing 6 hours for growth, we would have 1000 organisms, and after 12 hours, we would have 2000 organisms. Write a program that takes these inputs and displays a prediction of the total population. An example of the program input and output is shown below: Enter the initial number of organisms: 10 Enter the rate of growth (a real number › 1]: 2 Enter the number of hours to achieve the…