You plan to purchase a new home in the amount of $165,500. You are required to make a 20% down payment in cash. The bank agrees to give you a 30-year, fixed interest rate of 4.6% for the amount of the mortgage loan. Identify the amount you must borrow from the bank.

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)