Answered: #1: A city has been losing population.… | bartleby

Advanced Engineering Mathematics

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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dates, fixes, and improvements, choose Check for Updates.
Solve the following:
#1: A city has been losing population. In the 1990 census it decreased by 15% from the 1980
census which showed that the city had 1.2 million people. If the percent of decline is expected to
continue predict the population, create a table of values for the population in 1990, 2000, 2010
and 2020. What function would generate this table?
Year
1990
2000
2010
2020
Population
Pop =
%3D
#2: Another city showed the exact opposite, its population was increasing by 15%. If in 1980 it
also had 1.2 million people create a table of values for the population in 1990,2000, 2010 and
2020. What function would generate this table?

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TABLE 1: An economist at Nedbank ran a study of the relationship between FTSE/JSE All Shares index retu (JALSH) and consumer price index (CPI) from 2006 to 2017, the data collected is shown in the Tal below. FTSE/JSE All Shares index return (JALSH) and consumer price index (CPI) from 2006 to 2017. CPI (X) 4.7 7.1 11.5 7.1 4.3 5.0 5.6 5.7 6.1 4.6 6.4 5.3 Year 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 Question 1 Use Table 1 above to answer this question JALSH (Y) 0.41 0.19 -0.23 0.32 0.19 0.03 0.27 0.21 0.11 0.05 0.00 0.21 Q.1.1 The estimated regression equation with dependent variable FTSE/JSE All Shares index return (JALSH) and independent variable consumer price index (CPI) was Q.1.1.1 Calculate Bo JALSH, =B₁ + B₂CPI¡
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
What value of the smoothing constant would make an exponential smoothing forecast the most reactive to recent demand changes?
a. Sales of the Flying Flintmobile has been increasing over the past five years. The operations manager has estimated sales in 2017 to be 410 Flving Flintmobiles. Using exponential smoothing with a weight of a = 0.30, develop forecasts for 2017 through 2022. Year Sales Forecast 2016 450 2017 495 2018 518 2019 563 2021 584 2022
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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.
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9. A certain bacteria population triples each minute. Suppose you begin with a single bacteria cell. a. Create a table of values to show the population of bacteria at the end of each minute for the first 5 minutes of growth. b. Graph the data from your table using the desmos graphing calculator. (insert below). c. Is the population of bacteria growing linearly or exponentially? Explain.
If actual period demand varies from the forecast by more than 3MAD, this indicates: there is 3% chance that the forecast is wrong. there is a 98% chance that the forecast is wrong. there is a 97% chance that the forecast is wrong. there is a 3% chance that the forecast is correct Moving to the next question prevents changes to this answer:
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
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1. Company A has 100 stores and adds 50 new stores per year. Company B has 100 stores and increases the number of stores by 50% per year. a. Write a function representing the growth of Company B. b. How many stores will Company B have after 4 years assuming the same growth rate? Show your work.

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