1 sin(2x)= sin(2x) -125 (D²-1)

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.

This was a complete waste of money. There is no explanation and therefore no ability to understand how to get to the solution.

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

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?