The price of a home is 240,000. The bank requires a 20% down payment and two points at the time of closing. The cost of the home is financed with a 30 year fixed rate mortgage at 7%. Find the amount of the mortgage. How much must be paid for the two points at closing?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)