Francisco is planning to invest up to $28,000 in corporate and municipal bonds. The least he is allowed to invest in corporate bonds is $7,000, and he does not want to invest more than $27,000 in corporate bonds. He also does not want to invest more than $16,000 in municipal bonds. The interest is 4% on corporate bonds and 3 1/2% on municipal bonds. This is simple interest for one year. How much should he invest in each type of bond in order to maximize his income? What is the maximum income?

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?

You are updating your garage and the only thing left to paint is your garage day. you're only going to paint the slide that faces the street. the garage door is 9 fert 8inches tall and 120 inches wide. you need to know the surface area of the side of the garage door to determine how much paint to buy. the hardware store sells paint by how much covers a square foot. what is the surface area you should report to the hardware store what is the answer

Asocial networking site currently has 400,000 active members, and that figure is predicted to increase by 32% each year. the following expression represents the number of active members on the site after t years.