In 1960, there were 242,900 immigrants admitted to a country. In 2005, the number was1,011,507.a. Assuming that the change in immigration is linear, write an equation expressing thenumber of immigrants, y, in terms of t, the number of years after 1900.b. Use your result in part a to predict the number of immigrants admitted to the country in2013.c. Considering the value of the y-intercept in your answer to part a, discuss the validity ofusing this equation to model the number of immigrants throughout the entire 20th century.a. A linear equation for the number of immigrants is y=.(Type your answer in slope-intercept form. Type an expression using t as the variable.Use integers or decimals for any numbers in the equation. Type an integer or decimalrounded to two decimal places as needed.)

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Answered: In 1960, there were 242,900 immigrants…

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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A survey is conducted on 700 Californians older than 30 years of age. The study wants to obtain inference on the relationship between years of education and yearly income in dollars. The response variable is income in dollars and the explanatory variable is years of education. A simple linear regression model is fit, and the output from R is below: Im(formula = Income Coefficients: ~ Education, data = CA) Estimate Std. Error t value Pr(>|t|) (Intercept) 25200.25 1488.94 16.93 3.08e-10 Education 2905.35 112.61 25.80 1.49e-12 *** *** Residual standard error: 32400 on 698 degrees of freedom Multiple R-squared: 0.7602
The price of a bag of coffee beans, P, varies directly with the size, S, of the bag.If a 20 oz bag of coffee beans costs $17.00, find the variation equation and use that to predict how much a 48 oz bag of coffee beans would
A $27,000 car has a resale value of $19,000 five years after it was purchased. Assuming the value of this car depreciates linearly, estimate the value of the car 8 years after it was purchased. Enter number only; if your answer is $12,345, enter 12345.
Although beginning salaries vary greatly according to your field of study, the equation s = 2464t + 40,067 can be used to approximate and to predict average beginning salaries for candidates with bachelor degrees. The variable s is the starting salary and t is the number of years after 2011. a. Approximate the year in which beginning salaries for candidates will be greater than $70,000. (Round your answer up and use it to calculate the year.) b. Determine the year you plan to graduate from college. Use this year to find the corresponding value of t and approximate a beginning salary for a bachelar degree candidate.
The equation y = 9x represents the relationship between the number of chocolate boxes sold (x) and the cost of the chocolate boxes (y). Predict the cost of the chocolate boxes if the number of boxes sold is 35. A.$225 B.$315 C.$350 D.$250
Gordon borrowed $420 from Lyn and agreed to pay her back $24 every month. Write a formula (linear model) showing the amount of money Gordon still owes at any time. Clearly define your variables.
Since 2009, the number of analog theater screen has been on the decline in a country. The number of analog movie screens y each year can be estimated by the equation y = - 6000x + 24,100, where x represents the number of years since 2009. a. Find the x-intercept of this equation. b. What does this x-intercept mean? c. Use part (b) to comment on your opinion of the limitations of using equations to model real data.
You decide to purchase a brand new boat for $20,000. You sell it 7 years later for its worth of $7500. Assuming the boat's value depreciates linearly, how much was it worth 4.5 years after you bought it? It is worth S (Round answer to nearest dollar.)
A survey was distributed to a group of people asking them how many times they had ordered takeout in the past week. They were also asked how much money they saved that week. The scatter plot displays the relationship between the data collected. the trend line goes through the points (1,230) and (3,190). What is the equation of the trend line. The equation should be in slope form. interpret the slope and y intercept in this context. predict the amount of money a person save when they order takeout 9 times.
Based on the veterinarian's equation, in how many weeks will the puppy weigh 12.6 ounces?Enter your answer in the box. Only enter a number
Using data from the attatched chart, and the equation stated below, answer questions a,b,and c. linear equation: y=0.078x+2.42 a. Write a linear equation in slope-intercept form that models the data. b. Use the equation from part (a) to project the demand for teachers in 2024. c. Project the year when the demand for teachers will reach 6 million.
5. Assume food prices have risen about 4% per year for the last five years. a. If a gallon of milk cost $2 five years ago, what does it cost today? b. If a gallon of milk cost Sx five years ago, write an expression for its cost today. c. If a gallon of milk costs $3.50 now, what did it cost five years ago? Write and solve an equation to answer the question. Let x cost of a gallon of milk five years ago d. Ifmilk prices increase 4% per year for five years, what is the overall percent ncrease

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