The height of a rocket above the ground is given by the form…

The height of a rocket above the ground is given by the formula:h = -4.9t² + 98t + 1.5,where h is the height in metres and t is the time in seconds. a) What height was the rocket launched from? (1) b) Calculate the maximum height the rocket reaches, and the time at which it reaches this height by completing the square. Show your work. (5) c) Determine the time (to 2 decimal places) the rocket hits the ground. Show your process. (3)

Consider an industry with steadily declining demand. A firm…

Consider an industry with steadily declining demand. A firm can choose to stay or exit. If it exits, it can sell of its assets and recover a scrap value of $4500. If it stays, its future stream of payoffs is:   t = 0 t = 1 t = 2 t = 3 Payoff from staying 1500 1500 1000 500 Assume that the interest rate is 10%, so r = 0.1. Round your answers to 2 decimal places. What is the PDV of payoffs from staying? [a1] Should the firm stay in the industry? (Type in “Yes” or “No”) [a2]