Suppose you want to deposit a certain amount of money into a savings account with a fixed annual interest rate. We are interested in calculating the amount needed to deposit in order to have, for instance, $5000 in the account after three years. The initial deposit amount can be obtained using the following formula:

Suppose you want to deposit a certain amount of money into a savings account with a fixed annual interest rate. We are interested in calculating the amount needed to deposit in order to have, for instance, $5000 in the account after three years. The initial deposit amount can be obtained using the following formula:

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 20PE: When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making...

See similar textbooks

Similar questions

Suppose you want to deposit a certain amount of money into a savings account with a fixed annual interest rate. We are interested in calculating the amount needed to deposit in order to have, for instance, $5000 in the account after three years. The initial deposit amount can be obtained using the following formula: I?????? ??????? ??????= F???? ??????? ?????/(1+M???ℎ?? ???????? ????) ?????? o?m???ℎ?
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…
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.
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.
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…
A basic safe type of investment is an annuity: one makes monthly deposits of size P for n months at a fixed annual interest rate r, and at maturity collects the amount 12P n r ((₁ + 2)² − ¹) 12 r (This is not the definition of annuity that you may be familiar with, but the calculation is part of any accumulation of funds over time.) Say you want to create an annuity for a term of 300 months and final value of 1,000,000 dollars. Using nlsolve, make a table of the interest rate you will need to get for each of the different contribution values P 500 + 50k, k = 0, ..., 10. - Hint: if you write a function for the value of annuity, or the difference between this value and one million dollars with several arguments (P, r, n), you can then create a new function of just the one variabler for each value of P in a loop. The table and pretty tables approach used in homework 2 will be helpful here.
Suppose you have a certain amount of money in a savings account that earns compoundmonthly interest, and you want to calculate the amount that you will have after a specificnumber of months. The formula is as follows: F=P×(1+i)tF=P×(1+i)t The terms in the formula are: • F is the future value of the account after the specified time period.• P is the present value of the account.• i is the monthly interest rate.• t is the number of months.• F is the future value of the account after the specified time period.• P is the present value of the account.• i is the monthly interest rate.• t is the number of months. $$ Write a program that prompts the user to enter the account’s present value, monthly interest rate, and the number of months that the money will be left in the account. The program should pass these values to a function that returns the future value of the account, after the specified number of months. The program should display the account’s future value.
Scenario As you surely know, due to some astronomical reasons, years may be leap or common. The former are 366 days long, while the latter are 365 days long. Since the introduction of the Gregorian calendar (in 1582), the following rule is used to determine the kind of year: if the year number isn't divisible by four, it's a common year, otherwise, if the year number isn't divisible by 100, it's a leap year. otherwise, if the year number isn't divisible by 400, it's a common year. otherwise, it's a leap year. none of the above year int(input("enter the year")) if (year%4 1-0) and (year%400 -0) or (year % 1000): print (year is common year") else: print(year, is leap year") year= int(input ("enter the year")) if (years !-0) or (year480 1-0) and (year % 1001-0): print(year is common year") else: print(year, "is leap year") D year= int(input("enter the year"))
For this C++ hw do the following: Your game, the player’s goal is to reach campus exactly. The player starts 14 miles away and has up to 4 turns to reach campus. At each turn the play can ride either use a Bus, a Subway, or a Jetpack: Riding a Bus moves the player forward 2 miles each turn. Riding a Subway moves the player forward 5 miles each turn Riding a Jetpack moves the player forward 10 mile each turn. Example:You are 14 mile(s) from campus!How do you wish to travel? (1 bus, 2 subway, 3 jetpack) The player chooses one. After each turn, the player is informed how much farther she must travel before reaching campus. Winning/Losing: After the last turn, if the player has reached campus exactly ("You have won!") Otherwise, explain the problem: "You have over-shot your target!" or "You haven't reached your target!" And then write “You lose!” The game will operate as follows: Report how far the user is from campus – the player starts 14 mile away For each turn: o Ask user to…
Use java Language Write the function parrotTrouble.** We have a loud talking parrot. The "hour" parameter* is the current hour time in the range 0..23. We are* in trouble if the parrot is talking and the hour* is before 7 or after 20. Return true if we are* in trouble.** Some Examples:* parrotTrouble(true, 6) returns true* parrotTrouble(true, 7) returns false* parrotTrouble(false, 6) returns false** @param isTalking true if the parrot is talking.* @param hour the time of day from 0..23.* @return true if you're in trouble with your neighbors.
A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: The year must be divisible by 4 If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Ex: If the input is 1712, the output is: 1712 is a leap year. Ex: If the input is 1913, the output is: 1913 is not a leap year. 1 2 3 4 5 6 7 8 9 10 11 Put("{} is a leap year.".format(i_year)) print("{} is not a leap year.".format(i_year)) inputYear = Get next input What would be the code?
Integer Linear Programming Exercise Please solve the following real-world problem: A businesswoman can travel to city A, city B, or city C. It is 122 miles to city A, 237 miles to city B, and 307 miles to city C. She can travel up to 3000 miles. Dining and other expenses are $95 in city A, $130 in city B, and $180 in city C. Her expense account allows her to spend $2000. A trip to city A will generate $800 in sales, while a trip to city B will generate $1300 and a trip to city C will generate $1800. How many trips should she make to each city to maximize sales? First, define variables x1, x2, x3, etc. Next, write equations and inequalities that show the constraints. Then, write the objective function. Please note that solving the problem requires integer linear programming because all variables have additional constraints of being integers, not real numbers. This is an NP-hard problem that cannot be solved by regular linear programming algorithms implemented in SciPy. You can solve the…