Kpopulation is measured in thousands of people.A low-projection scenario for the population of Smalltown, USA for 1995 and 2150 is given by the function y=-0.37x 37.83x 5840 68, where x is the number of years after 1990 and thea. Find the input and output at the vertex of the graph of this modelb. Interpret the values from part ac. For what years after 1995 does this model predict that the population will increase?a. The input at the vertex is x 51.12 and output at the vertex is y 6807.65(Round to the nearest hundredth as needed.)b. The population will be(Use the answer from part a to find this answer.)in the year

Given the year where x is the year after and is the population in millions.To Find:a) Input and…

Answered: A low-projection scenano for the…

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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write a linear equation for this: "Baden, the health authority's chief financial officer stood by the veracity of that initial timeline Wednesday. He said state officials were hoping to see 200,000 to 250,000 first doses administered per week."
With aging, body fat increases and muscle mass declines. The graph to the right shows the percent body fat in a group of adult women and men as they age from 25 to 75 years. Age is represented along the x-axis, and percent body fat is represented along the y-axis. For what age does the percent body fat in men reach a maximum? What is the percent body fat for that age? The percent body fat in men reaches a maximum at the age of years. What is the percent body fat at the maximum? % Percent Body Fat Percent Body Fat in Adults 40- 30- 20- 25 Momen 50 Age Men 75 Q Q
Your starting salary is $40000 and it increased by $10675 over the next seven years. Let t be years and s your salary, and your salary is a linear function of time. Find a formula for your salary in time years.
You enter the number of people arriving at the office from different distances into the app and find that it's linearly decreasing. Choose a suitable number of people reaching the office from an adjacent residential complex (x 0) and then draw the graph. Note that nobody lives more than 16 miles from the office. Find the rate of change and write your answer in the boxes given below. Rate of change innumber of people with distance from office (integer) = 1000 800 600 people/mi 400 2 4 6 8 10 12 14 16 x Distance from office complex (mi) Number of people
The attached table shows the level of water (y) measured in centimeters from the bottom of the container after (x) seconds. Create a table in DESMOS and graph the data. Attach a screenshot of your data plot from DESMOS. Does your data plot look linear or quadratic?
Employment. According to the U.S. Bureau of Labor Statistics, the number of professional services employees fluctuated during the period 2000-2009, as modeled by E(t) = -28.31t³ +381.86t² - 1162.07t + 16,905.87, where t is the number of years since 2000 (t = 0 corresponds to 2000) and E is thousands of employees. (Source: www.data.bls.gov.) Find the relative extrema of this function, and sketch the graph. Interpret the meaning of the relative extrema.
This value represents how much a change in one variable can be predicted from its relationship witha completely different variable .......
Cell Phones Using the CTIA Wireless Survey for1985–2009, the number of U.S. cell phone subscribers (in millions) can be modeled byy = 0.632x2 - 2.651x + 1.209where x is the number of years after 1985.a. Graphically find when the number of U.S.subscribers was 301,617,000.b. When does the model estimate that the number ofU.S. subscribers would reach 359,515,000?c. What does the answer to (b) tell about this model?
Carbon Dioxide Emissions The table gives the millions of metric tons of carbon dioxide emissions frombiomass energy combustion in the United States forselected years from 2010 projected to 2032.a. Find a linear function that gives the millions ofmetric tons of carbon dioxide emissions, y, asfunction of x, the number of years after 2010.b. Graph the model on the same axes with the data.Is it a good fit for the data?c. What does the (unrounded) model predict the millions of metric tons of carbon dioxide emissionswill be in 2027? d. When will the millions of metric tons of carbondioxide emissions reach 776.6, according to themodel?
2) A rare stamp was worth $65 in 1995. It was predicted to grow in value at a rate of 8% per year. a) Write an equation to represent the value of the stamp, y dollars, as a function of the number of years, x, since 1995. b) What is the value of the stamp today? c) In which year the stamp will double the value?
In 2005 the average annual and fees for attending a private college or university was $22000. This cost rose to about $36000 in 2015, as illustrated in the graph. Complete parts a and b
The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is (almost) inversely proportional to gas mileage; higher gas mileage means lower fuel cost and vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is purchased, it is easy to calculate gas mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr. Hebert's 2015 Jeep Wrangler Unlimited. 12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 c. Find the five number summary. enter your response here, enter your response here, enter your response here, enter your response here, enter your response here

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