For P= 0 and compute the value of K under the condition. if (P <= 1)        K = P + 5else if (P > 1 && P <= 5)        K = P + 3else if (P > 8)       K= P - 1else    K = P

3. If money is worth 7% effective, find the present value of a P4, 000.00 perpetuity  payable every year. (P57, 142.86)

What value should be provided at position X on line number 6 so that 4000 tosses of the coin can be simulated?

A country has coins with k denominations 1 = d1 < d2 < ... < dk, and you want to make change for n cents using the smallest number of coins. For example, in the United States we have d1 = 1, d2 = 5, d3 = 10, d4 = 25, and the change for 37 cents with the smallest number of coins is 1 quarter, 1 dime, and 2 pennies, which are a total of 4 coins. To solve for the general case (change for n cents with k denominations d1 ... dk), we refer to dynamic programming to design an algorithm. 1. We will come up with sub-problems and recursive relationship for you. Let be the minimum number of coins needed to make change for n cents, then we have:   Explain why the above recursive relationship is correct. [Formal proof is not required]   2. Use the relationship above to design a dynamic programming algorithm, where the inputs include the k denominations d1 ... dk and the number of cents n to make changes for, and the output is the minimum number of coins needed to make change for n. Provide…

Using the pigeonhole principle Choosing any ___ consecutive integers, we can guarantee that at least two of them have the same remainder when divided by 100.

IKEO is a furniture manufacturer which produces two sizes of wood blocks (type A and B) thatare used to make either a table or a chair. A table is made of a type A and a type B wood blocks,while a chair is made of a type A and two type B wood blocks.A table makes RM 3 profit, and a chair makes RM 5 profit. If M number of type A and Nnumber of type B wood blocks are produced, how many tables and chairs should themanufacturer make to obtain the greatest profit?For example, let M = 12 and N = 12.By making 4 tables (4 type A and 4 type B) and 4 chairs (4 type A and 8 type B), themanufacturer gain profit as follows,Profit = (RM 3) × 4 + (RM 5) × 4 = RM 32.If the manufacturer makes 2 more tables and 1 less chair, the profit will be increased as follows,Profit = (RM 3) × 6 + (RM 5) × 3 = RM 33.Is this the greatest profit?Write a complete C++ program to help the manufacturer determine the greatest profit obtainfrom making tables and chairs with a given number of M type A and N type B wood…

You have a five-quart jug, a three-quart jug, and an unlimited supply of water (butno measuring cups). How would you come up with exactly four quarts of water? Note that the jugs are oddly shaped, such that filling up exactly "half" of the jug would be impossible.

USE PIGEONHOLE PRINCIPLE, WITH A PIGEONHOLE FORMULA 1.1. Assuming no one has more than 1,000,000 hairs on the head of any person and that the population of Manila was 11,621,500 in 2009, there had to be at least _____ people in Manila in 2009 with the same number of hairs on their heads. 1.2. Choosing any ___ consecutive integers, we can guarantee that at least two of them have the same remainder when divided by 100