A local travel agent has been authorized to sell three new vacation packages for a major airline. The three packages are priced at $870, $900, and $1,150, respectively. The airline has promised a sizable bonus commission if total sales by the travel agent equal $300,000 or more. If , , and , equal the number of packages sold of types 1, 2, and 3, respectively: a) Define the equation which states that total sales equal $100,000. 1-Marks b) If the airline specifies that the agent must sell 20 of the $1,150 packages and 10 of the $900 packages to qualify for the bonus, how many of the $870 packages will be necessary to qualify? 1-Marks c) One strategy being considered by the agent is to sponsor a charter flight in which all persons would select the same package. Given that three different charters could be planned, how many persons would have to sign up for each to qualify for the bonus?

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

What are the solutions of the equation? 6x^2 + 11x + 4 = 0 a. 4/3, 1/2 b. -4/3, -1/2 c. 4/3, -1/2 d. -4/3, 1/2