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, andS, the level of the TSX stock index. Presently the portfolio is worth $390,000, while a Euro is $1.50 Canadian,and the index is S = 18,000.If the partial derivatives of P have values = 70,000, and = -17, what approximately will the portfoliovalue be if the price of a Euro goes down by 0.06 and the stock index goes down by 397?

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Answered: A portfolio has a value P(E, S), so…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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…
A snow shovel company forecasts demand that shows strong seasonality by quarter. The linear trend can be estimated by the equation y(t) = 1000 + 1000t. The forecasts start with t = 0, which corresponds with Q1 of 2021 (Jan - Mar). t = 1 corresponds to Q2 of 2021 (Apr - Jun) and so on. The seasonal relatives for Q1 = 1.5, Q2 = 0.5, Q3 = 1, Q4 = 2. What is the seasonalized forecast for Q2 of 2022.
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.
1) The average annual cost (in dollars) of tuition and fees at public four-year colleges for the year 2002 (x=2) was $4098 and for the year 2009 (x= 9) was $7020. Ifx 0 corresponds to the year 2000 a) Find the slope of this linear relationship where x = year and y = annual cost of tuition and fees at public four-year colleges.
If a piece of property is depreciated linearly over a period of n years, then its value y dollars at the end of x years is given by: y=c[1-x/n] where c dollars is the original value of the property. An apartment building built in 1975 and originally worth $400,000 is being depreciated linearly over a period of forty years. Sketch a graph showing the value y dollars of the apartment building x years after it was built and determine its value in the year 2000. What is the slope of this line and what does it represent? .

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