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- Programming Exercise 10 in Chapter 6 asks you find the mean and standard deviation of five numbers. Extend this programming exercise to find the mean and standard deviation of up to 100 numbers. Suppose that the mean (average) of n numbers x1, x2, . . ., xn is x. Then the standard deviation of these numbers is:S=sqrt(((x1-x)^2+(x2-x)^2+...+(xi-x)^2+...+(xn-x)^2)/n)Please code in C++. Write a program that simulates a coin-tossing game. At the beginning of the game, each of N players has a single fair coin and M points. The game performs a sequence of passes until only a minimum number of players remain. In a pass the players toss their coins into the air and when the coins fall to earth, the players count the number of coins that show heads and the number of coins that show tails. If the number of heads exceed the number of tails, then the players who tossed heads increase their points by an integer P and the players who tossed tails decrease their points by the same integer P. The players perform the opposite actions when the number of tails is greater than the number of heads. If the number of heads equals the number of tails, then no player’s points change. If any player’s points fall below one, then the player leaves the game, never to return. The game employs a second integer K to compute P’s value. K’s and P’s initial values are one.…Having trouble with this c++ homework question. void a(int n) { if(n<1) { cout << n*2 << " "; return; } cout << n*2 << " "; a(n-1);}1. Trace the function when n is 4.
- Mortgage bond L, interest rate r =15%. The fixed payments P to pay off the loan over N years is given by P= rL(1+r/12)^12N/12(1+r/12)^12N -1) a)Write a code to compute and print P if N = 20 and the bond is $50,000 b) how P changes with N . Can you find a value for which the payment is less than $625? c) go back to N =20 and examine for different interest rate . Raising the interest rate increase the payment by $37?Create union floating point with members float f, double d and long double x. Write a program that inputs values of type float, double and long double and stores the values in union variables of type union floating point. Each union variable should be printed as a float, a double and a long double. Kindly check if the values always print correctly?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.)
- (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.The program in the Programming Example: Fibonacci Number does not check whether the first number entered by the user is less than or equal to the second number and whether both the numbers are non-negative. Also, the program does not check whether the user entered a valid value for the position of the desired number in the Fibonacci sequence. Rewrite that program so that it checks for these things.5: CheckLetter.cpp) Write a program that adds a checkletter to an eight-digit number. The check letter should becomputed as follows: Break the number up into 4 two-digitnumbers. Add the four numbers together. Find theremainder after division by 26. The check letter is the letterin the alphabet that corresponds to the number justcomputed. (A=0, B=1, C=2, etc.) Print the original numberfollowed by the check letter. Use at least one ffunction thatreturns a value when you write this program.
- #include using namespace std; bool isPalindrome(int x) { int n=0,val; val = x; while(x > 0) { n = n * 10 + x % 10; x = x / 10; } } int main() { int n; cin >>n; if(isPalindrome(n)) { cout <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…write in C++ Chocolate Bars You can buy a chocolate bar from the vending machine for $1 each. Inside every chocolate bar is a coupon. You can redeem 6 coupons for one chocolate bar from the machine. This means that once you have started buying chocolate bars from the machine, you always have some coupons. We would like to know how many chocolate bars can be eaten if we start with N dollars and always redeem coupons when we have enough for an additional chocolate bar. For example, with 6 dollars we could consume 7 chocolate bars after purchasing 6 bars giving us 6 coupons and then redeeming the 6 coupons for one bar. This would leave us with one extra coupon. For 11 dollars, we could have consumed 13 chocolate bars and still have one coupon left. For 12 dollars, we could have consumed 14 chocolate bars and had two coupons left. Write a program that inputs a value for N and outputs how many chocolate bars we can eat and how many coupons we would have leftover. Use a loop that continues…