A 1400-seat theater sells two types of tickets for a concert, Premium seats sell for $40 each and regular seats sell for $30 each. At one event $47,540 was collected in ticket sales with 20 seats left unsold. How many of each type of ticket was sold?

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.