Assume there is a variable, h that has already been assigned a positive integer value. Write the code necessary to count the number of perfect squares whose value is less than h, starting with 1. (A per fect square is an integer like 9, 16, 25, 36 that is equal to the square of another integer (in this case 3*3, 4*4, 5*5, 6*6 respectively). Assign the sum you compute to a variable q For example, if h is 19, you would assign 4 to q because there are perfect squares (starting with 1) that are less than h are: 1, 4, 9, 16.
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- Consider this code: "int s = 20; int t = s++ + --s;". What are the values of s and t? A. s is 19 and t is 38 B. s is 20 and t is 38 C. s is 20 and t cannot be determined D. s is 19 and t is 39 E. s is 20 and t is 39Suppose you want to deposit a certain amount of money into a savings account, and thenleave it alone to draw interest for the next 10 years. At the end of 10 years, you would like tohave $10,000 in the account. How much do you need to deposit today to make that happen?You can use the following formula, which is known as the present value formula, to find out:The terms in the formula are as follows: [5 marks]• P is the present value, or the amount that you need to deposit today.• F is the future value that you want in the account. (In this case, F is $10,000.)• r is the annual interest rate.• n is the number of years that you plan to let the money sit in the account.Write a method named presentValue that performs this calculation. The method should accept the future value, annual interest rate, and number of years asarguments. It should return the present value, which is the amount that you need to deposit today.Demonstrate the method in a program that lets the user experiment with…Transient PopulationPopulations are affected by the birth and death rate, as well as the number of people who move in and out each year. The birth rate is the percentage increase of the population due to births and the death rate is the percentage decrease of the population due to deaths. Write a program that displays the size of a population for any number of years. The program should ask for the following data: The starting size of a population P The annual birth rate (as a percentage of the population expressed as a fraction in decimal form)B The annual death rate (as a percentage of the population expressed as a fraction in decimal form)D The average annual number of people who have arrived A The average annual number of people who have moved away M The number of years to display nYears Write a function that calculates the size of the population after a year. To calculate the new population after one year, this function should use the formulaN = P + BP - DP + A - Mwhere N is the…
- 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 please: Given an integer representing a 10-digit phone number, output the area code, prefix, and line number using the format (800) 555-1212. You must use a tuple for this assignment. Additionally, the formatting of the output should match the example below, identifying both the tuple and formatted phone number. For example, if the input is 8005551212 the output is phone_number_tuple: ('8', '0', '0', '5', '5', '5', '1', '2', '1', '2') Formatted phone number: (800) 555-1212In your favorite open world adventure video game, currency conversion is as given below: 1 Gold coin 23 Bolts 1 Gem 13 Gold coins Write a program that takes a number of Bolts as user input (as an integer) and converts it to the number of whole Gems, Gold coins, and Bolts as shown below. The conversion information between these measurement metrics is provided in the table above. The number of Bolts should be converted in such a way that maximizes the whole number of Gems and Gold coins. Expected output 1 (bold is user input) Enter the number of Bolts: 32 0 Gems(s) 1 Gold coin(s) 9 Bolt(s) Expected output 2 (bold is user input) Enter the number of Bolts: 3000 10 Gem(s) 0 Gold coin(s) 10 Bolt(s) The file should be named as convertCurrency.cpp. Don’t forget to head over to Coderunner on Canvas and paste your solution in the answer box!
- 4 -A mathematician and discovered a number which have unique properties. As he is not decided any name to that number, so for the time being we call that number ‘Cuboid’. A unique property of Cuboid is that, if we break that number into individual units like breaking 153 into 1, 5 and 3 and take their individual cube, then the sum would be the same as original number being given. Your task is to ask the user an integer and print weather the digit entered is Cuboid or not. (Python program)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.)Write code that iterates while userNum is less than 12. Each iteration: Put userNum to output. Then, put "/" to output. Then, assign userNum with userNum multiplied by 3.
- Consider this code: "int z = 20; int sum = z++ + --z;". What are the values of z and sum? A. z is 20 and sum is 38 B. z is 19 and sum is 38 C. z is 20 and sum is 39 D. z is 19 and sum is 39 E. z is 20 and sum cannot be determinedPRG11: Write a program that will calculate and show bills of the Manila Electric Company. The rates vary depending on whether the useR is residential (R), commercial( C) , or industrial (I). Any other code should be treated as an error. The program should accept the subscriber ID, Subscriber Name, his total electrical consumption in a month, and the code of the consumer type. The rates are computed as follows: R: 50 plus .50 per kwh used C: 100 for the first 1000 kwh and 0.45 for each additional kwh I: 180 for the first 1000 kwh and 0.75 for each additional kwhuse visual basic Depreciation to a Salvage Value of 0 . For tax purposes an item may be depreciated over a period of several years, n . With the straight-line method of depreciation , each year the item dpreciates by 1/nth of it original value. with the double-declining-balance method of depreciation, each year the item depreciate by 2/nths of its value at the beginning of that year.(In the final year it is depreciated by its value at the beginning of the year. ) Write a program that performs the following tasks:(a) Request a description of the item, the year of purchase, the cost of the item, the number of years to be depreciated (estimated life), and the method of depreciation. The method of depreciation should be chosen by clicking on one of two buttons.(b) Display a year- by-year description of the depreciation. See Fig. 6.15 .