Triangle ABC is translated 2 units to the right on a coordinate plane to form triangle DEF. The measure of AB = 6 units, BC = 5 units, CA = 4 units. What is the measure of DE in the image? (number only, NO letters or symbols)

Credit card a offers an introductory apr of 3.4% for the first three months and standard apr of 15.7% thereafter,

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .

Lucinda leaves money in her savings account for 8 years. she started with $800 and earned 3.5% interest compound annually. how much money is in her account?