Finance. If a total of $ 20,000 is invested, coupons and checks. If the amount invested in bonds exceeds the amount invested in checks by $ 3,000. How much was invested in bonds?

Mr. vasquez determines that the area of a bathroom is in his house is 25 square feet less than one-fifth of the area of the living room if the bathroom measures 35 square feet what is the area of the living room

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?

Which of the following is true for the relation f(x)=2x^2+1