Phyllis Regan's job pays $46,350 plus 24% of wages in benefits. She estimates that her yearly job expenses are $2,256. A job she has been offered pays $49,750 with these estimated benefits: $3,980 in pensions, $450 in free parking, $1,080 in paid vacation, $1,560 in paid holidays, $2,100 in health insurance, and $400 in tools. The job has job expenses of $2,624. Which job offers the greater net job benefits? How much greater?

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

On a piece of paper graph f(x)=5•(0.4)^x

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.