Answered: ulating the amount needed to deposit in…

Engineering

Computer Science

ulating the amount needed to deposit in order to have, for instance, $5000 in the account after three years. The initi

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter4: Selection Structures

Section: Chapter Questions

Problem 14PP

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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 great circle distance is the distance betweentwo points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographicallatitude and longitude of two points. The great circle distance between the twopoints can be computed using the following formula:d = radius X arccos(sin (x1) X sin(x2) + cos(x1) X cos(x2) X cos(y1 - y2))Write a program that prompts the user to enter the latitude and longitude of twopoints on the earth in degrees and displays its great circle distance. The averageradius of the earth is 6,371.01 km. Note you need to convert the degrees into radiansusing the Math.toRadians method since the Java trigonometric methods useradians. The latitude and longitude degrees in the formula are for north and west.Use negative to indicate south and east degrees. Here is a sample run: Enter point 1 (latitude and longitude) in degrees: 39.55 −116.25 ↵EnterEnter point 2 (latitude and longitude) in degrees: 41.5 87.37 ↵EnterThe distance between the two points is…
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.
The great circle distance is the distance between two points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographical latitude and longitude of two points. The great circle distance between the two points can be computed using the following formula: d = radius * arccos(sin(x 1) * sin(x 2) + cos(x 1) * cos(x 2) * cos(y1 - y2)) Write a program that prompts the user to enter the latitude and longitude of two points on the earth in degrees and displays its great circle distance. The average earth radius is 6,371.01 km. Note that you need to convert the degrees into radians using the math.radians function since the Python trigonometric functions use radians. The latitude and longitude degrees in the formula are for north and west. Use negative to indicate south and east degrees.
38. The geometric mean g of n numbers x; is defined as the nth root of the product of x;: g=Vx1x2X3•…Xn (This is useful, for example, in finding the average rate of return for an investment which is something you'd do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)") Compute this.
Computer Science This is an introductory exercise to the manipulation of random variables with Python as a language for scientific computing and numerical computation. You have: f(x) = Ae-0.1x)° 4 x*, 0
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"))
2) A BMI Calculator: the body mass index (BMI) is a measure used to determine whether a person is overweight or not. We can calculate BMI from the weight of the person (in pounds) and the height (in inches) of the person. The formula for calculating BMI is: BMI = (weightInPounds 703) divided by (heightInInches squared) In this problem, you will have to create a BMI calculator, i.e., a Java program, that reads the user's weight in pounds and height in inches, then calculates and displays the user's body mass index BMI. Also, display the following information from the US Department of Health) so the user can evaluate his/her BMI: BMI values: Underweight: less than 18.5 Normal: between 18.5 and 24.9 Overweight: between 25 and 29.9 Obese: 30 or greater
In Saudi Arabia, the Kudai Parking Area is a parking lot that is next to the Ajyad Police Station and close to the Power Plant. Kudai is a well-known parking space near Masjid al-Haram. After parking there, you can take a taxi to Masjid al-Haram for 10-15 Riyals for a 10-minute drive. The parking is usually heavily occupied, and the following formula is used to compute the parking lot uțilization: Percentage of Parking Lot Utilized - Number of lots occupied + Total number of lots Write a program that calculates the occupancy rate for each zone of a massive parking lot like Kudai. The program should start by asking for the number of zones in the parking lot. A loop should then iterate once for each zone. During each iteration, the loop should ask the user for the number of lots in the zone and the number of them that are occupied. After all the iterations, the program should display the number of lots the parking has, the number of them that are occupied, the number that is vacant, and…
Phyton The surface of the Earth is curved, and the distance between degrees of longitude varies with latitude. As a result, finding the distance between two points on the surface of the Earth is more complicated than simply using the Pythagorean theorem. Let (t1, g1) and (t2, g2) be the latitude and longitude of two points on the Earth’s surface. The distance between these points, following the surface of the Earth, in kilometers is: distance = 6371.01 × arccos(sin(t1) × sin(t2) + cos(t1) × cos(t2) × cos(g1 − g2)) The value 6371.01 in the previous equation wasn’t selected at random. It is the average radius of the Earth in kilometers. Create a program that allows the user to enter the latitude and longitude of two points on the Earth in degrees. Your program should display the distance between the points, following the surface of the earth, in kilometers. Hint: Python’s trigonometric functions operate in radians. As a result, you will need to convert the user’s input from degrees to…
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.
A pendulum is simply a weight attached to a fixed point, usually through a string or a rod, and it swings freely backward and forward. The period of a pendulum is the amount of time that it takes to go from one point to another as it swings. Length of pendulum SWING T = PERIOD of the swing The formula to compute the period (7) is the following: T = 2π g=9.8 m/sec² L is the arm length of pendulum in meters. The unit of the period (7) is seconds. Write a program that will generate a table that will show the period (7) for several pendulums with lengths (L) in the range 10cm ≤L≤ 100cm in increments of 2cm. Your code must: 1) include a user-define function that performs a single period calculation, use the following function prototype: void pendulumPeriod(float length, float *period) 2) display to the monitor the length and period of the pendulums in table format with a header and units. 3) save the lengths and period of the pendulums to a file.