A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first. The tax in the first city was 9.5%, and the tax in the second city was 5.5%. The total hotel tax paid for the two cities was $657.50. How much was the hotel charge in each city before tax?

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission? ” the salesperson says that her commission is 5 1/2% of the selling price. a.how much commission will the salesperson earn by selling a couch for $495? b.how much money will the store get from the sale of the couch?

Graph the equation. select integers for x

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?