Obviously, the lifetime membership isn’t a good deal if you only remain a member for a couple of years, but if you remain a member for 40 years, it’s a great deal. suppose that the appropriate annual interest rate is 8.9%. what is the minimum number of years that lloyd must remain a member of the adla so that the lifetime membership is cheaper (on a present value basis) than paying $750 in annual membership dues? (note: round your answer up to the nearest year.)

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?

Find the slope and the y-intercept if there's one and the equation of the line given these two points( 3, 2) and( 3, -4)

In which form is the following function written? y = - 2(x – 3)(x + 5)