Unemployment rates for a certain country are published at the end of every month. For the period October, 2019 through January, 2020, the unemployment rates were 7.5% (Oct.), 7.3% (Nov.),7.1% (Dec), and 6.9% (Jan). Assume the unemployment rates will continue to decrease following a linear model.(a) Predict the unemployment rate at the end of March, 2021.(b) Predict when the country will reach a zero unemployment rate.(a) The unemployment rate at the end of March, 2021 will be(Type an integer or a decimal)

Given that the unemployment rate decreases following a linear model. We will construct a linear…

Answered: Unemployment rates for a certain…

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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Population growth. In 2015, the estimated population ofBrazil was 204 million with a relative growth rate of 0.77%.(A) Write an equation that models the population growth inBrazil, let 2015 be year 0.(B) Based on the model, what is the expected population ofBrazil in 2030?
Suppose the general fund revenue receipts for a particular U.S. state for 2003 (period 1) to 2017 (period 15) are in the following table. Year Period 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 General Fund Revenue Receipts ($ billions) 6.683 6.878 7.535 8.276 8.473 8.554 8.326 8.125 8.659 8.991 9.208 9.443 9.866 10.228 10.378
Data concerning the expenditure for health care in the United States is shown in the table. Year 2000 2004 2005 2007 2008 2009 2012 2013 2015 Expenditure (billions $) 1359 1878 2016 2320 2498 2689 3298 3533 4032 a. Make a graph of the data large enough to include 2018 (use graph paper, label completely, and choose the correct axis for the independent (x) and dependent (y) variables). b. Find the growth rate (b) between 2004 and 2005, rounded to 3 decimal places. c. Find the growth rate (b) between 2012 and 2015, rounded to 3 decimal places. Hint: the years are not consecutive so you will need to substitute the numbers you know into the equation y = ab* and solve for b. d. Add a trend line and estimate the expenditure you would expect in 2018. billion e. Use your trend line to estimate the year the US health expenditure reached $3000 billion.
Section 3.2 (35) Six years ago, I invested some money in Dracubunny Toy Co. stock, acting on the advice of a “friend.” As things turned out, the value of the stock decreased by 5% every 4 months, and I discovered yesterday (to my horror) that my investment was worth only $297.91. How much did I originally invest?
The Shrinking Rainy Day Fund. On October 5, 2015 The Boston Globe published a story headlined "state's rainy day fund has dwindled over past decade" that said (in part): In the summer of 2007, before the massive recession began, the rainy day fund had $2.3 billion--a cushion of about 7.8 percent of total state spending, according to the taxpayers' foundation. This summer, the rainy day balance stood at $1.1 billion--about 2.7 percent of total state spending, a fraction small enough to raise a red flag for analysis. Calculate total state spending as of the summer of 2007 and this past summer (2015).
(a) The real estate prices within one state have been increasing at an average rate of 8% per year. How long it will take for the current prices to increase by 100 percent if the prices continue to increase at the same rate? [02] (b) Sales of personal computers coasting less than $5000 were estimated to equals $2500 million in 2010. One analyst estimates that sales will grow at a rate of 25% per year over the next 10 years. Predict the annual sales for the year 2015? [02]
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.)
mni.2
In 1967, the population of Clements, PA was 7,000, and in 1974 the population was 12,000. Should the populatio grow linearly, in what calendar year (to the nearest whole calendar year), would it reach 50,000? If instead the population grew exponentially, how many fewer years would it take to reach 50,000?
The yearly Chinese growth rate for population is increasing at about .35% per year. Construct an exponential growth model.
A constant continuous income stream of C dollars will be invested into an account for ten years at a continuous annual interest rate of 7%. The goal is to have $100,000 to help pay for college at the end of the ten years. Find the value of C that will produce a balance of $100,000 at the end of the ten years. Enter your value for C accurate to two digits to the right of the decimal point.
Suppose a variable is growing continuously at a nominal rate of 10% per year. What is the effective growth rate?

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