Suppose that today (year 0) your car is worth $17,000. each year your car loses 10% of its value, but at the end of each year you add customizations to your car which increase its value by $20. write a recurrence relation to model this situation. c(n) = if n = 0 + · c(n − 1) if n > 0

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.