Social networking and video-sharing sites often include rich media and display advertising placed around user- generated content. Suppose that, for a particular social networking company, the annual revenue R, in millions of dollars, from rich media advertisements for the five years from the beginning of 2015 through the end of 2019 can be approximated by the model $ R(x) = x¹ + 11x³ - 39x² + 45x, where a is the number of years from the beginning of 2015. What was the total revenue for this company in the five-year period? Round to 2 decimal places. million -

Graph the following equation.explicitly state the equation of the asympttote, the x intercept, the y intercept, the domain and range Y=-3(1/3)^-x+6 Y=-1/2log2 (x+4)-2

The table gives methane gas emissions in millions of metric tons. The quadratic model y = 0.0429x² - 9.73x + 706 approximates the emissions for these years. In the model, x represents the number of years since 2008, so x = 0 represents 2008, x = 1 represents 2009, and so on. Complete parts a and b. Year 2008 2009 2010 2011 2012 Millions of Metric Tons of Methane 706.0 696.3 686.7 677.2 667.8 a. According to the model, what would emissions be in 2014? According to the model, in 2014 the emissions would be 649.2 million metric tons. (Round to the nearest tenth as needed.) b. Find the nearest year beyond 2008 for which this model predicts that emissions will reach 500 million metric tons. The nearest year beyond 2008 for which the model predicts that the emissions will reach 500 million metric tons is (Round down to the nearest year.)

For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).