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QUESTION 1 There are currently 80 million cars in a certain country, decreasing by 3.1% annually....
In the year 2000, the population of a certain country was 278 million with an estimated...
In the year 2000, the population of a certain country was 278 million with an estimated growth rate of 0.5% per year. Based on these figures, find the doubling time and project the population in 2100. Let y(t) be the population of the country, in millions, t years after the year 2000. Give the exponential growth function for this country's population. y(t) = 1 (Use integers or decimals for any numbers in the expression. Round to four decimal places as...
The population of a country dropped from 52.7 million in 1995 to 45.2 million in 2008....
The population of a country dropped from 52.7 million in 1995 to 45.2 million in 2008. Assume that P(t), the population, in millions, t years after 1995, is decreasing according to the exponential decay model a) Find the value of k, and write the equation. b) Estimate the population of the country in 2019. c) After how many years will the population of the country be 1 million, according to this model? a) Select the correct answer below and fill...
a. 12 In 2000, the population of a country was approximately 5.61 million and by 2069...
a. 12 In 2000, the population of a country was approximately 5.61 million and by 2069 it is projected to grow to 12 million. Use the exponential growth model A = Ag ekt, in which t is the number of years after 2000 and Ao is in millions, to find an exponential growth function that models the data. By which year will the population be 13 million? Projected b. Population (millions) 2000: 5,610,000 6- 0+ 1950 1970 1990 2010 2030...
In the year 2000, the population of a certain country was 276 million with an estimated growth rate of 0.5% per year a. Based on these figures, find the doubling time and project the population in 21...
In the year 2000, the population of a certain country was 276 million with an estimated growth rate of 0.5% per year a. Based on these figures, find the doubling time and project the population in 2120 b Suppose the actual growth rates are ust 0.2 percentage points lower and higher than 0.5% per year 0.3% and 0.7%). What are the resulting doubling times and projected 2120 population? a. Let y(t) be the population of the country, in millions, t...
The sales, S. of a product have declined in recent years. There were 201 million sold...
The sales, S. of a product have declined in recent years. There were 201 million sold in 1984 and 1,3 million sold in 1994. Assume the sales are decreasing according to the exponential decay model, S(t)= S, a) Find the value k and write an exponential function that describes the number sold after time, t, in years since 1984 b) Estimate the sales of the product in the year 2002 c) in what year (theoretically) will only 1 of the...
The sales for exercise equipment in a country were $1824 million in 1990 and $5832 million in 200...
The sales for exercise equipment in a country were $1824 million in 1990 and $5832 million in 2005. (a) Use the regression feature of a graphing utility to find an exponential growth model and a linear model for the data. (Use y to represent sales in millions of dollars and t to represent years after 1990. Enter your values to 4 decimal places.) y = (exponential model) y = (linear model) (b) Use the exponential growth model to estimate the...
-kt The sales, S. of a product have declined in recent years. There were 201 million...
-kt The sales, S. of a product have declined in recent years. There were 201 million sold in 1984 and 1.3 million sold in 1994. Assume the sales are decreasing according to the exponential decay model, S(t) = S, e a) Find the value k and write an exponential function that describes the number sold after time, t, in years since 1984. b) Estimate the sales of the product in the year 2002. c) In what year (theoretically) will only...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. f(x) = -6x* +5x2 - x +7 Choose the correct answer below. A. The graph of f(x) falls to the left and falls to the right. O B. The graph of f(x) falls to the left and rises to the right O C. The graph of f(x) rises to the left and rises to the right OD. The graph of f(x) rises...
The growth in the number (in millions) of Internet users in a certain country between 1990...
The growth in the number (in millions) of Internet users in a certain country between 1990 and 2015 can be approximated by a logistic function with k 0.0014, where t is the number of years since 1990. In 1990 (when t 0), the number of users was about 3 million, and the number expected to level out around 220 million. (a) Find the growth function G(t) for the number of Internet users in the country. Estimate the number of Internet...
a in in 2000, the population of a country was approximately 5.51 milion and by 2050...
a in in 2000, the population of a country was approximately 5.51 milion and by 2050 it is projected to grow to 10 milion. Use the exponential growth model A.Ap which is the number of years after 2000 and is in millions, to find an exponential growth function that models the data. By which year will the population be 13 million? b. 2000 6,510,00 1950 1970 1900 2010 2030 2050 a. The exponential growth function that models the data is...
In the year 2000, the population of a certain country was 278 million with an estimated growth rate of 0.5% per year. Based on these figures, find the doubling time and project the population in 2100. Let y(t) be the population of the country, in millions, t years after the year 2000. Give the exponential growth function for this country's population. y(t) = 1 (Use integers or decimals for any numbers in the expression. Round to four decimal places as...
The population of a country dropped from 52.7 million in 1995 to 45.2 million in 2008. Assume that P(t), the population, in millions, t years after 1995, is decreasing according to the exponential decay model a) Find the value of k, and write the equation. b) Estimate the population of the country in 2019. c) After how many years will the population of the country be 1 million, according to this model? a) Select the correct answer below and fill...
a. 12 In 2000, the population of a country was approximately 5.61 million and by 2069 it is projected to grow to 12 million. Use the exponential growth model A = Ag ekt, in which t is the number of years after 2000 and Ao is in millions, to find an exponential growth function that models the data. By which year will the population be 13 million? Projected b. Population (millions) 2000: 5,610,000 6- 0+ 1950 1970 1990 2010 2030...
In the year 2000, the population of a certain country was 276 million with an estimated growth rate of 0.5% per year a. Based on these figures, find the doubling time and project the population in 2120 b Suppose the actual growth rates are ust 0.2 percentage points lower and higher than 0.5% per year 0.3% and 0.7%). What are the resulting doubling times and projected 2120 population? a. Let y(t) be the population of the country, in millions, t...
The sales, S. of a product have declined in recent years. There were 201 million sold in 1984 and 1,3 million sold in 1994. Assume the sales are decreasing according to the exponential decay model, S(t)= S, a) Find the value k and write an exponential function that describes the number sold after time, t, in years since 1984 b) Estimate the sales of the product in the year 2002 c) in what year (theoretically) will only 1 of the...
-kt The sales, S. of a product have declined in recent years. There were 201 million sold in 1984 and 1.3 million sold in 1994. Assume the sales are decreasing according to the exponential decay model, S(t) = S, e a) Find the value k and write an exponential function that describes the number sold after time, t, in years since 1984. b) Estimate the sales of the product in the year 2002. c) In what year (theoretically) will only...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. f(x) = -6x* +5x2 - x +7 Choose the correct answer below. A. The graph of f(x) falls to the left and falls to the right. O B. The graph of f(x) falls to the left and rises to the right O C. The graph of f(x) rises to the left and rises to the right OD. The graph of f(x) rises...
The growth in the number (in millions) of Internet users in a certain country between 1990 and 2015 can be approximated by a logistic function with k 0.0014, where t is the number of years since 1990. In 1990 (when t 0), the number of users was about 3 million, and the number expected to level out around 220 million. (a) Find the growth function G(t) for the number of Internet users in the country. Estimate the number of Internet...
a in in 2000, the population of a country was approximately 5.51 milion and by 2050 it is projected to grow to 10 milion. Use the exponential growth model A.Ap which is the number of years after 2000 and is in millions, to find an exponential growth function that models the data. By which year will the population be 13 million? b. 2000 6,510,00 1950 1970 1900 2010 2030 2050 a. The exponential growth function that models the data is...
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