1. an owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by , where n is the number of key rings in thousands. find the number of key rings sold on a particular day when the total profit is $5,000.
n^2-2n-3
(show work)

2. two trains a and b are 240 miles apart. both start at the same time and travel toward each other. they meet 3 hours later. the speed of train a is 20 miles faster than train b. find the speed of each train.
(show work)

3. a hawk flying at a height of 60 feet spots a rabbit on the ground. if the hawk dives at a speed of 55 feet per second, how long will it take the hawk to reach the rabbit?
(hint: a model for the vertical motion of a projected object is given by the equation
h = -16t2 + vt + s, where h is the height in feet, t is the time in seconds, v is the initial velocity in feet per second, and s is the starting height of the object in feet. use this equation to find the time taken by the hawk to reach the rabbit.)
(show work)

4. half of the students in a freshman class are 14 years old. one-third are 15 and the rest are 13. is the mean age greater than or less than the median age? explain.

5. samir is trying to decide between two checking account plans. after researching plans at two banks, he finds that unity bank offers a monthly compounded interest rate of 0.14%, while sunrise banking offers 1.6% interest compounded annually. which is the better plan? explain.
(show work)