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 functiony = 0.0682x² + 1.76x + 96.0where 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 ofwhich corresponds to a y value ofThe y maximum should be -Select-than this function value(b) Graph the function.y300250200150100500y30025020015010050X =Need Help?51 FPartly sunny101020Read It203030TX4040y300250200150100500010(c) Use the graph to estimate when the CPI is predicted to reach 250. (Round your answer to the nearest whole year.)years2030Q Search40y30025020015010050010hp20DEST=30

The given function is y=0.0682x2+1.76x+96, where x is the number of years past 2010, and y is the…

Answered: Using Social Security Administration…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

2. The number of Android smartphone users has grown exponentially since it was first introduced to the market in 2007. The number of Android users in the world in was approximately .092 billion (92 million) in 2010 and .5 billion in 2012. a) According to this data, what was the approximate number of users ?(?), ? years after 2010? b) When would the number of Android users have reached 2 billion?
Cryptocurrencies have rapidly become an important alternative to traditional currencies for many types of transactions. Etherium, one of the most prominent cryptocurrencies, has rapidly appreciated in value. Daily Etherium trading information for the first 332 days of 2021. It includes the following variables: Date Day – Day of the year, used to assess trend over time Volume (US $) – Daily trading volume Opening Price (US $) – Opening price for daily trading Price Change (US $) – Daily change in price from opening to close 1. Determine the sample correlation coefficient, r, between Volume and Price Change. Test the alternative hypothesis that Volume has a linear relationship to Price Change. Specifically, what are the test statistic and the p-value for that test statistic? For α = .05, what do you conclude about the relationship between the variables? (reminder: the T.DIST.2T function requires input of a positive test statistic)
In May, about 451 thousand existing homes were sold in the U.S., and sales were decreasingby 3.4% per month.(a) Create a model for this situation. (Recall that you should define the independent anddependent variables and their units, as well as provide an equation.)(b) If this trend continues, how many existing homes will be sold in the U.S. in October?(Round to the nearest thousand homes.)
The value of all goods and services produced in a nation during a specific period of time, as compared to an earlier period, is called the economic growth rate. It measures the change in a nation's gross domestic product (GDP). The United States had an economic growth rate of approximately 2.9%and GDP of approximately $20.58 trillion in 2018. If the economic growth rate is expected to stay the same for the next 3 years, what is the projected GDP for the year 2021? a $21.96 trillion b $23.15 trillion c $22.42 trillion d $22.31 trillion
Below is data collected over 6 specific years. The data collected is the Consumer Price Index (CPI) and the cost of a slice of tuna. We would like to build a model using the CPI to predict the cost of a slice of pizza in a given year. Year 1960 1973 1986 1995 2002 2003 CPI (x) 30.2 48.3 112.3 162.2 191.9 197.8 Cost of a slice of tuna(y) 0.15 0.35 1.00 1.25 1.75 2.00 Plot the data. Are we justified in creating a Linear Regression model to predict the price of a pizza slice using the CPI? Why or why not? Calculate the descriptive statistics. Calculate the sums of squares Calculate the slope, intercept, and correlation. What is this correlation value telling us? Assemble the prediction equation, and interpret the slope within the context of the problem. State the hypotheses for the hypothesis test for regression.
please help
In a given year, the U.S. federal income tax owed by a married couple filing jointly can be found from the following table. Married Filing Jointly Taxable Income $0-$18,550 T(x) = $18,551-$75,300 $75,301-$151,900 amount over $75,300 $413,351-$466,950 Tax Rate 10% $1,855 plus 15% of the amount over $18,550 $10,367.50 plus 25% of the $151,901-$231,450 amount over $151,900 $466,951 or more if $29,517.50 plus 28% of the $231,451-$413,350 amount over $231,450 $51,791.50 plus 33% of the $130,578.50 plus 39.6% of the amount over $466,950 (a) For incomes up to $151,900, write the piecewise defined function T with input x that models the federal tax dollars due as a function of x, the taxable income dollars earned. $111,818.50 plus 35% of the amount over $413,350 0 < x≤ 18,550 if 18,550 < x≤ 75,300 if 75,300 < x≤ 151,900 (b) Use the function to find T(40,000). $ (c) Find the tax due on a taxable inco of $90,000. $ (d) A friend tells Jack Waddell not to earn any money over $75,300 because it…
Eloise needs to finish a 516-page report on international trade so she can present it at the big conference this weekend. She's been tracking her page count at the end of each business day to see if she's on track. Use Excel to fit a trendline to Eloise's data to create a model of her productivity. According to your model, will Eloise be able to finish her report by the end of the day next Friday? Assume she works only on weekdays. Day Pages Monday 425 Tuesday 431 Wednesday 449 Thursday 464 Friday 471 A: Use Excel to fit a trendline to Eloise's data. What are the slope and intercept for this line? The slope is The intercept is B: Use your model (trendline) to answer the question. Will Eloise finish her report by the end of next friday? Yes
Let T : R2 → R² be the linear transformation which rotates vectors counter-clockwise about the origin by 7T/3 radians (60 degrees). (i) Find the standard matrix of the linear transformation T. (ii) Use your matrix to rotate the vector v = counterclockwise about the origin by 4 T/3 radians.
2. a. Write an exponential equation of the form y = a(b)* that passes through the points (1, 6.4) and (4, 3.2768). Explain how you got your answer OR show your work. b. Identify the percent change that is modeled by your equation in part a. In other words, identify whether your equation represents a percent increase or decrease AND how much is that percent increase or decrease.
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:
Describe three approaches to modeling seasonality in a regression forecast.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS