Betty has a checking account and a non-interest bearing savings account. the function c(x), shown below, represents her checking account balance, where x is the number of months. the function s(x), shown below, represents her saving account balance. which function represents betty's total account balance, t(x)? t(x) = |240x + 140| + 450x + 1,500 t(x) = -|240x - 140| + 450x + 1,300 t(x) = -|240x - 140| + 450x + 1,500 t(x) = -|240x - 140| + 450x + 1,400

An objects motion is described by the equation d= 4sin (pi t) what will the height of the object be at 1.75 seconds?

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)

If a is a nonzero real number then the reciprocal of a is