Compute the value of a perpetuity using the summation formula. In the function below, use a for loop to estimate the value of a perpetuity, approximated to N periods. def summation_formula(C,r,N):
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PYTHON
A perpetuity pays a coupon value of C each and every period forever. Given a discount rate of r, the value of a perpetuity is given by V=∑t=1∞C(1+r)t
Compute the value of a perpetuity using the summation formula. In the function below, use a for loop to estimate the value of a perpetuity, approximated to N periods.
def summation_formula(C,r,N):
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- For this assignment you will: write an algorithm code it in Python Tuition Fees Increase In 2008, BC charged $115 per credit for a course. BC announced it would increase its cost per credit by 4% each year for the next five years. Write a program that uses a for loop to display the projected rates for the next five years as follows: Year Cost per Credit -------------------------- 2008 $115.00 2009 $119.60 2010 $124.38 2011 $129.36 2012 $134.53 2013 $139.92 ============================================================================ Pay attention to the spacing/alignment in your output. Review the Formatting Output in Python documentation in order to properly format the numerical values in your output. The output should present with two decimal places.2- Write a function sumsteps2 that calculates and returns the sum of 1 to n in steps of 2, where n is an argument passed to the function. For example, if 11 is passed, it will return 1 + 3 + 5 + 7+ 9 + 11. Do this using a for loop. Calling the function will look like this: >> sumsteps2 (11) ans = 36Problem The tuition for a private university is X riyals this year. Tuition fee increases 5% every year. Write a program that: Asks the user for the tuition fee X of this year. Compute and print out what the tuition fee will be 10 years from now, using a loop. Compute and print out the total cost of tuition to study at the university for 4 years for a student who begins his studies 5 years from now? If a student gets a 10% discount on his university tuition bill, also print out the tuition bill for the student if he gets the discount.
- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.Brute force equation solver this is python program. Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: 3 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: No solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. ''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input()) ''' Read in…PYTHON Question 4: Sum of the first N natural numbers: Part 1: Write a function sumNaturals (n) that returns the sum of the first n natural numbers. You can use this formula 1 + 2 + ... + n = n(n+1) / 2. Make sure that the function returns an integer. Do not use a for loop or a while loop. def sumNaturals(n): """ Sum all the first n natural numbers. >>> sumNaturals(3) # 1 + 2 + 3 = 6 6 >>> sumNaturals(5) # 1 + 2 + 3 + 4 + 5 = 15 15 """ *** YOUR CODE HERE *** Part 2: Define a lambda expression that takes n and returns the sum of the first n natural numbers, using the above formula.
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- write the following for loop as a while loopConvert the following for loop to a while loop: for (int x = 50; x > 0; x--){ cout << x << " seconds to go.\n"; }in python Write a Python program that uses a for loop with the range function to inspect all integers from 300 down to 1. See page 170-172 to learn about the range function. Code in the loop should find exact multiples of 23 and print them in fields 5 characters wide on one line. The loop should also determine two totals; the total of the even multiples and the total of the odd multiples of 23. When the loop ends, the program should display these two totals.