Megan is checking her tax bill for the last year. The tax rates were as follows:
No tax on the first £11000 of earnings
Earnings in excess of £11000 and up to £43,000 taxed at a rate of 20 percent.
Earnings in excess of £43000 and up to £150000 taxed at a rate of 45 percent
Last year Megan earned £158900 before tax.
How much did she pay?

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?

Using two or more complete sentences, describe how you can find a vector parallel to b=-2,3

An object is translated by (x + 4, y - 2). if one point in the image has the coordinates (5, -3), what would be the coordinates of its pre-image? (9, -5) (1, -5) (9, -1) (1, -1)