The table below shows the projected values (in millions of dollars) of hardback college textbooks sold in the United States for the years 2007 to 2009.Year Value2007 4412C =2008 447120094556(a) Create a system of linear equations for the data to fit the curve y = at² + bt + c, where t is the year and t = 7 corresponds to 2007, and y is the value of the textbooks.= 4412= 4471= 4556(b) Use Cramer's Rule to solve your system.a =b =

1st we will make equation of 3 variable a,b,c using given data and then solve it by cramers rule…

Answered: The table below shows the projected…

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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According to the data from public health units, Canada has begun its largest mass vaccination program in history. On the 10th day from the start of the vaccination program, there were 706 thousand vaccination doses administered. On the 17th day, there were 937 thousand vaccination doses administered. Assume that the number of vaccination doses administered keeps growing in a linear manner. a) What is the equation that gives the number of vaccination doses administered in Canada in terms of the number of days since the vaccination program started? b) What is the estimated number of vaccination doses administered by the 30th day since the vaccination program started? (Use the equation from part (a)) c) How many days since the beginning of the vaccination program will take to administer 1696 thousand vaccination doses in Canada? (Use the equation from part (a))
The teenage birthrate in the United States has declined since 1995 as shown to the right. Let B be the American teenage birthrate (number of births per 1000 women ages 15-19) at t years since 1995. a. Find an equation of a linear model to describe the data. b. Predict the teenage birthrate in 2020. Then predict the number of births to women in 2020, assuming that there will be 11,007,000 women ages 15-19 in that year. c. Predict in which years the birthrate will be less than 11.4 births per 1000 women ages 15-19. Birthrate (number of births per 1000 women ages 15-19) Year 1995 56.0 2000 47.7 2005 40.5 2010 34.3 2015 24.2 a. Using the points (0,56.0) and (10,40.5), the equation of linear model is B = (Use integers or decimals for any numbers in the expression.) Enter your answer in the answer box and then click Check Answer.
4
7 of 10 Write an equation in point-slope form for the line that passes through (2,-3) and (-5,8) Point Slope form: y - X) %3D 出 II
The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the value of the y-intercept (a) estimated in the linear prediction equation provided above (= 22-1.3x)? Also, interpret the y-intercept. y-intercept: Interpretation of y-intercept:
Explain what is meant when two variables are positively linesrly related. What would scatter plott look like? Two variables x and y are postively linearly related if when the x value increases , the y value increases or decrease? The points on a scatter plot fall approximately in a-an ascending straight line b- a descending curve c- a descending straight line or d- an ascending curve from left to right?
If a company has discovered that at a price of $50, their sales volume will be 800 units. If they changed their price by $2, their sales will either increase of decrease by 50 units. Which among the following is a correct model of their price vs sales volume relationship? SALES VOLUME=400-50 * (PRICE-50) SALES VOLUME=800-50 * (PRICE-50) SALES VOLUME=800-25 * (PRICE-50) SALES VOLUME=800-25 * (PRICE-25)
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.
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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