asked 2021-06-27

The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Canada \(A=33.1e0.009t\)

Uganda

\(A=28.2e0.034t\)

use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. By 2009, the models indicate that Canada's population will exceed Uganda's by approximately 2.8 million.

asked 2021-06-19

Canada

\(\displaystyle{A}={33.1}{e}^{{0.009}}{t}\) Uganda \(\displaystyle{A}={28.2}{e}^{{0.034}}{t}\)

Use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Uganda's growth rate is approximately 3.8 times that of Canada's.

asked 2020-11-03

India, \(A=1173.1e^{0.008t}\)

Iraq, \(A=31.5e^{0.019t}\)

Japan, \(A=127.3e^{0.006t}\)

Russia, \(A=141.9e^{0.005t}\)

asked 2021-06-10

One problem with all exponential growth models is that nothing can grow exponentially forever. Describe factors that might limit the size of a population.

asked 2021-06-13

(a) Use the regression capabilities of a graphing utility to find an exponential model for the data. Let t represent the year, with t=10 corresponding to 2000. Use the graphing utility to plot the data and graph the model in the same viewing window.

(b) A financial consultant believes that a model for service revenues for the years 2010 through 2015 is \(\displaystyle{R}{2}={6}+{13}+{13},{9}^{{0.14}}{t}\). What is the difference in total service revenues between the two models for the years 2010 through 2015?

asked 2021-05-27

Min throws a baseball from a height of 6 feet with an initial vertical velocity of 30 feet per second. Which polynomial models the height of the ball, in feet?

asked 2021-07-05

asked 2021-05-27

The table shows the mid-year populations an of China (in millions) from 2002 through 2008. Year Population, an
___________________________
2002 1284.3
2003 1291.5
2004 1298.8
2005 1306.3
2006 1314.0
2007 1321.9
2008 1330.0 ___________________________ Use the exponential regression feature of a graphing utility to find a geometric sequence that models the data. Let n represent the year, with n=2 corresponding to 2002.

asked 2021-02-13

Linear model: \(V= -5400t + 23300\)

Exponential model: \(\displaystyle{V}={23},{300}{e}^{{-{0.311}{t}}}\)

Find the book values of the vehicle after year and after 3 years using each model.

asked 2021-05-19