Write a Java program that prompts the user to enter a monthly saving amount and displays the account value after the sixth month. (You will use a loop to simplify the code and display the account value for any month.)
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Suppose you save $100 each month in a savings account with annual interest rate 3.75%. Thus, the monthly interest rate is 0.0375/12 = 0.003125. After the first month, the value in the account becomes 100 * (1 + 0.003125) = 100.3125, after the second month, the value in the account becomes (100 + 100.3125) * (1 + 0.003125) = 200.938, after the third month, the value in the account becomes (100 + 200.938) * (1 + 0.003125) = 301.878 and so on.
Write a Java program that prompts the user to enter a monthly saving amount and displays the account value after the sixth month. (You will use a loop to simplify the code and display the account value for any month.)
Sample Output:
Enter the monthly saving amount: 100
After the first month, the account value is 100.3125
After the second month, the account value is 200.9384765625
After the third month, the account value is 301.8789093017578
Note: The computation should be until 12 months.
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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.)Suppose you save $100 each month into a savings account with the annual interest rate 5%. So, the monthly interest rate is 0.05 / 12= 0.00417. After the first month, the value in the account becomes 100 * (1 + 0.00417) = 100.417After the second month, the value in the account becomes(100 + 100.417) * (1 + 0.00417) = 201.252 After the third month, the value in the account becomes(100 + 201.252) * (1 + 0.00417) = 302.507 and so on.Write a program that prompts the user to enter an amount (e.g., 100), the annual interest rate (e.g., 5), and the number of months (e.g., 6) and displays the amount in the savings account after the given month.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: You can also calculate the unpaid loan balance after making certain payments. For example, the unpaid balance after making k payments is: 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 user can repeat the program for different values. Example of…
- Suppose you save $100 each month into a savings account with the annual interest rate 5%. So, the monthly interest rate is 0.05 / 12 = 0.00417. After the first month, the value in the account becomes 100 * (1 + 0.00417) = 100.417 After the second month, the value in the account becomes (100 + 100.417) * (1 + 0.00417) = 201.252 After the third month, the value in the account becomes (100 + 201.252) * (1 + 0.00417) = 302.507 Draw a flow chart.When you use a mortgage to purchase a home, the lending institution effectively owns the home. You buy back part ownership in the home with each monthly payment. The part you have bought back is your equity in the home. If the mortgage amount is P dollars, the monthly interest rate is r as a decimal, and the term of the mortgage is t months, then your equity after k payments is E(k) = P((1 + r)k − 1) (1 + r)t − 1 dollars. In this exercise, assume that the mortgage amount is $200,000, the APR is 6% so r = .06/12 and the term of the loan is 30 years (360 months). (a) Find a formula for the equity. (b) Make a graph of the equity over 360 months, the term of the loan. (c) Does the graph show that you have half-ownership in the home halfway through the term of the mortgage? Halfway through the term of the mortgage corresponds to k1 = _______ payments. From the graph, we see that E(k1) is ________ half of the mortgage amount, so we _______ have half-ownership in the home…Suppose you save $100 each monthin a savings account with annual interest rate 3.75%. The monthly interest rateis 0.0375 / 12 = 0.003125. After the first month, the value in the accountbecomes100 * (1 + 0.003125) = 100.3125After the second month, the value in the account becomes100 + 100.3125) * (1 + 0.003125) = 200.938After the third month, the value in the account becomes(100 + 200.938) * (1 + 0.003125) = 301.878and so on.Write a program that prompts the user to enter an amount (e.g., 100), the annualinterest rate (e.g., 3.75), and the number of months (e.g., 6) and displays theamount in the savings account after the given month.
- Suppose 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% (totalsales < 200) Greater or equal to 200 sold 10% (totalsales >=200 & totalsales <400) Greater than to 400 sold 12% (if (totalsales >= 400) Use Multiway if, else if (use as many you need) and else correctly Review slides 3-CH-2 Slide 4 and 8 Write the code correctly as show in the chapter slides. Pay attention to the commission chart above: (3) input as examples shown 500, 250, 150 You can work with your team and submit your code and output in PDF. 1. Provide the user the commission rate list…The annual rate of inflation is the rate at which money loses its value. For example, if the annual rate of inflation is 3.0%, then in one year it will cost $1030 to buy the goods that could have been purchased for $1000 today. Put another way, a year from now $1000 will only buy 1/1.03 * $1000, or $970.87, worth of goods. Two years from now $1000 will only buy only 1/1.03 of $970.87, or $942.59 worth of goods. Write a program that allows the user to enter an annual rate of inflation between 1% and 15%, and which then reports how much $1000 today will be worth each year for the next 10 years.A nutritionist who works for a fitness club helps members by evaluating their diets. As part of her evaluation, she asks members for the number of fat grams and carbohydrate grams that they consume in a day. Then, she calculates the number of calories that result from the fat using the following formula: Calories from fat = Fat grams × 9Next, she calculates the number of calories that result from the carbohydrates using the following formula: Calories from carbs = Carbs grams × 4Create an application that will make these calculations. In the application, you should have the following methods:• FatCalories–This method should accept a number of fat grams as an argument and return the number of calories from that amount of fat.• CarbCalories–This method should accept a number of carbohydrate grams as an argument and return the number of calories from that amount of carbohydrates.
- Suppose 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.Interest on a credit card’s unpaid balance is calculated using the averagedaily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is:averageDailyBalance = (netBalance * d1 – payment * d2) / d1If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is:interest = averageDailyBalance * 0.0152Write a program that accepts as input netBalance, payment, d1, d2, and interest rate per month. The program outputs the interest. Format your output to two decimal places.Interest on a credit card’s unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance = (netBalance * d1 - payment * d2) / d1. The interest on the unpaid balance is: interest = averageDailyBalance * interestRate where interestRate is the interest rate per month. Write a program that accepts as input netBalance, payment, d1, d2, and interestRate. The program outputs the interest. Format your output to two decimal places. Analyze and design this program. Write the code, compile and run it. Upload your analysis and design document and your .cpp source code file here.