Jake and Luke are playing a game. Jake and Luke each started with 4 points. At the end of each turn, Jake's points doubled. At the end of each turn, Luke's points increased by 20. At which turn will Jake first have more points than Luke?

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

Describe the relationship between the angles of similar triangles and the sides of similar triangles

You got a job selling magazines door-to-door. you are paid $100 per day plus $1.50 for each magazine you sell. which recursive formula models this situation?