Total personal income of the country (in billions of dollars) for selected years from1956 to 2001 is given in the table.(a) These data can be modeled by an exponential function. Write the equation ofthis function, with x as the number of years after 1956.(b) If this model is accurate, what will be the country's total personal income in2006?(c) In what year does the model predict the total personal income will reach $22trillion?points,...(b) The country's total personal income in 2006 will be $ billion.(Round to three decimal places as needed.)(c) The total personal income will reach $22 trillion in the year(Round up to the nearest year.)hp(a) The equation of an exponential function that models the data is y=-(Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)19Year195619661976198619962001ho22 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions Contact UfPersonalIncome406.8839.72306.34881.58424.210,232.5112Next

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Answered: Total personal income of the country…

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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(Depreciation). Table 2 gives the market value of a luxury sedan (in dollars) x years after its purchase. (Use 4 decimal places in all answers.) Table 2: Luxury Sedan's Value x Value ($) 1 23,125 2 19,050 3 15,625 4 11,875 5 9,450 6 7,125 A. What exponential equation, V(x) best fits the data, where x is the number of years after purchase and V(x) is value of the vehicle after x years?V(x) = B. What is r2?r2 = C. Use the equation to estimate the purchase price of the vehicle and the value of the vehicle after 10 years. (Round to the nearest cent.)The purchase price of the vehicle after 10 years will be $ .D. Use the equation to estimate how old a luxury sedan valued at $12,000 is. (Round to the nearest year.)The luxury sedan should be about years old.
Give two pieces of information that may be used to formulate an exponential growth or decay function.
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
If the population of a Nigeria doubles in 9 years, ﬁnd the growth rate k. Assume that the population increases exponentially.
The answer I was given previously is not right, please help! There is a well-studied panda population in Wuyipeng. In 1989 there were 35 pandas and the researchers determined that they had an annual population growth of 1.078. (i) Which exponential model represents this population?A. (35)1.078x(35)1.078xB. 35(1.078)x35(1.078)xC. (1.078)35x(1.078)35xD. (1.078)x(1.078)x (ii) Use your model to predict how many pandas there will be in 2000.(Express your answer rounded up to the nearest panda.)Answer =
The population of the world in 1986 was 5.23 billion and was growing at a rate of about 1.77% per year. we assumed that the world population grows exponentially and follows the law of uninhibited growth, find the projected world population in the year 2028. If Your answer is billion (Round to 3 decimal places}
The population in a city is increasing in accordance with exponential growthmodel. The population on year 2016 was 1000 and the population on year 2021 is 2000. What will be the population in year 2026?
China had a population in 2008 of about 1.14 billion people. The populaton is growing by about 1.34% each year. If this trend continues, when will China's population reach 1.2 billion.
The number of employees at a certain company is 1440 and is increasing at a rate of 1.5% per year. Write an exponential growth function to model this situation.
U.S. health-care expenditures have been growing exponentially during the past two decades. In 2008, expenditures were 2.4 trillion dollars with a growth rate of 9%. Lawmakers hope to decrease the annual growth rate to 2%. Compare the two rates graphically and algebraically as follows. (a) For each growth rate, find an exponential model for the health-care expenditures t years since 2008. f9%(t) = f2%(t) = (c) Find the predicted health-care expenditures in 2020 for each model. (Round your answer to two decimal places.) f9%(12) = trillion dollars f2%(12) = trillion dollars
Section 2.2 (81) In the early stages of the deadly SARS (severe acute respiratory syndrome) epidemic in 2003, the number of cases was increasing by about 18% each day. On March 17, 2003 (the first day for which statistics were reported by the World Health Organization), there were 167 cases. Find an exponential model that predicts the number of cases "t" days after March 17, 2003, and use it to estimate the number of cases on March 31, 2003. (The actual reported number of cases was .)
I have submitted this question twice, and am still not getting the correct answer, please help. Atmospheric pressure decreases by about 13.3% for every 1000 meters you climb. The pressure at sea level is 1013 millibars (a unit of pressure). Construct an exponential model to represent the atmospheric pressure at a given altitude in thousands of meters. Use your model to determine the atmospheric pressure at an altitude of 4700 meters.(Express your answer in millibars rounded correctly to the nearest tenth.) millibars

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