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?Year195619661976198619962001(b) The country's total personal income in 2006 will be $(Round to three decimal places as needed.)PersonalIncome411.3840.52314.54882.18421.210,238.9(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.)billion.

(a) Step-by-step procedure to find the regression equation using Excel: In Excel sheet, enter Year…

Answered: Total personal income of the country…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.
The data in the table below shows the intensity and loudness level of variaous sounds a. Create a scatter plot for the data. b. Use the scatter plot to determine whether an exponential function, a logarithmic function, or a linear function is the best choice for modeling the data Intensity-watt per Meter2 (x) 0.1 3 25 97 Loudness Level- decibels (y) 109 120 131 141
The following set of ordered pairs creates an exponential function: {(1,1),(2,2),(3,4),(4,8),(5,16)} True False
The numbers of polio cases in the world are shown in the table for various years. Year 1988 1992 1996 2000 2005 2007 Number of Polio Cases (thousands) 350 138 30 4 3.2 1.3 Let f(t) be the number of polio cases in thousands t years since 1980. Use a graphing calculator to draw a scattergram of the data. Is it better to model the data by using a linear or exponential model? (Exponential Find an equation of f. Hint f(t) coefficients to 4 decimal places. The number of polio cases is (decreasing per year. 25.77% Predict the number of polio cases in 2013. Hint Round the by Predict in which year there will be 1 case of polio. Hint years Find the approximate half-life of the number of polio cases. Hint
Give two pieces of information that may be used to formulate an exponential growth or decay function.
The value of a certain rare silver dollar was $40,000 in 1980. A price history of the silver dollar shows that it has been doubling in value every 20 years. Find an exponential growth model for A, the value of the coin (in dollars) t years after 1980. A= ?
If the population of a Nigeria doubles in 9 years, ﬁnd the growth rate k. Assume that the population increases exponentially.
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?
Pick a country. Find the percent growth/decay rate for the population. Use this data and the current population to find an exponential model for the population as a function of years. Use your model to estimate what the population of this country will be in 5 years.
A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050, approximately 82.6 million Americans will be at least 65. The bar graph shows the estimated number of Americans with projected figures for the year 2020 and beyond. A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over, y, in millions, x years after 1899. Use this information to solve (a)-(d) below. Click the icon to view the bar graph. 最重 ExpReg y = a-b^x a = 3.363809536 b = 1.023357735 a. Explain why an exponential function was used to model the population data. A. An exponential function was used because the data in the bar graph is increasing more and more rapidly. OB. An exponential function was used because population is always modeled using exponential functions. OC. An exponential function was used because there are too many data points to use a linear function. OD. An exponential function was used because…
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 .)

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