A. In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are three (3) machine tools, four (4) polishing tools, and three (3) painting tools, how many different routings (consisting of machining, followed by polishing, and followed by painting) for a part are possible?

The shortage of organs for transplant is a continuing problem. At the end of 2000, there were 3816 people waiting for a heart transplant, 3330 for a lung transplant, 16,008 for a liver transplant, and 49,007 for a kidney transplant. Corresponding figures for 2003 were 3268, 3795, 16,966, and 58,891, respectively. In 2006, the figures were 2590, 2603, 16,813, and 65,454, respectively. Express the information as a matrix, labeling rows and columns. Fill in the matrix below. Heart 3816 2006 2590 3795 Liver 16,813 49,007 58,891

About 1/3 of Samuel’s paycheck goes to housing, 1/6 goes to utility bills, 1/8 goes for his car, and 1/5 goes for food. How much of his paycheck is left for entertainment?

Summarize the steps you need to follow in order to determine what type of permutation or combination formula to use for any given problem. Be sure to include explanations of each possible outcome.

Mila invested $6,700 and put it in two accounts. She put some in a money market account that earned 1 1/2 % simple interest and she put the rest in a certificate of deposit (CD) that earned 2 3/4% simpleinterest. At the end of the first year she earned a total of $149.25 in interest. How much did she depositin each account?

Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap.Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? The answer to this question should be the amount of time in seconds rounded to four decimal places that it takes for Bob to run a complete lap around the circular track.

A new self­tanning lotion for everyday use is to be sold. First, an experimental lotion mixture is made by mixing 800 ounces of everyday moisturizing lotion worth $0.30 an ounce with self­tanning lotion worth $3 per ounce. If the experimental lotion is to cost $1.20 per ounce, how many

Faisal is conditioning all winter to prepare for his college's hockey team tryouts. He is incorporating barbell deadlifts into his daily workout regime. He plans to start with two reps and everyday he will complete two more reps than the day before. Write an explicit formula that can be used to find the number of reps lifted on any given day. If he starts with three reps on the first day, how many reps will he do on the 7th day of training?

samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the beach. He fell asleep halfway home. He didn't wake up until he still had half as far to go as he had already gone while asleep. How much of the entire trip was Samuel asleep?

Does this value make sense in the context of the problem?