In year 0, javens inc. sold machinery with a fair market value of $450,000 to chris. the machinery’s original basis was $355,500 and javens’s accumulated depreciation on the machinery was $55,000, so its adjusted basis to javens was $300,500. chris paid javens $45,000 immediately (in year 0) and provided a note to javens indicating that chris would pay javens $67,500 a year for six years beginning in year 1. what is the amount and character of the gain that javens will recognize in year 0? what amount and character of the gain will javens recognize in years 1 through 6?

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.