A portfolio has a value P(E, S), so that the value P is a function of E, the price of a Euro in Canadian dollars, and S, the level of the TSX stock index. Presently the portfolio is worth S390,000, while a Euro is S1.50 Canadian, and the index is S = 18,000. If the partial derivatives of P have values = 70,000, and -17, what approximately will the portfolio value be if the price of a Euro goes down by 0.06 and the stock index goes down by 397?

Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be modeled by the function y = 0.0682x² + 1.76x + 96.0 where x is the number of years past 2010 and y is the CPI in dollars. With a reference of 100 in 2012, a CPI of 120 in another year means that goods and services costing $100 in 2012 are expected to cost $120 in that other year (a) Use a table to determine a viewing window that shows a complete graph of this function for the years from 2010 to 2050. 2050 corresponds to an x value of which corresponds to a y value of The y maximum should be -Select-than this function value (b) Graph the function. y 300 250 200 150 100 50 0 y 300 250 200 150 100 50 X = Need Help? 51 F Partly sunny 10 10 20 Read It 20 30 30 T X 40 40 y 300 250 200 150 100 50 0 0 10 (c) Use the graph to estimate when the CPI is predicted to reach 250. (Round your answer to the nearest whole year.) years 20 30 Q Search 40 y 300 250 200…

8. A new car tends to depreciate in value more quickly during the first couple of years and then at a more gradual rate afterwards. Suppose that a 2017 Toyota Prius has a value of $18,000 on January 1, 2019. If it then begins to depreciate in value $1,500 per year, find a) The linear equation for the value of the car years after 2019. V b) The slope of the equation is of the car decreases c) Find the value of the car in 2022. and means for each year past 2019, the value and in 2027

Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.