Mathematics, 15.05.2021 01:10, cameronbeaugh
The city of Smithville maintains a constant population of 300,000 people from year to year. A political science study estimated that there were 150,000 Independents, 90,000 Democrats, and 60,000 Republicans in the town. It was also estimated that each year 20% of the Independents become Democrats and 10% become Republicans. Similarly, 20% of the Democrats become Independents and 10% become Republicans, while 10% of the Republicans become Democrats and 10% become Independents. Let x_0 = [150,000 90,000 60,000]^T and let X_1 be a vector representing the number of people in each group after 1 year.
a) Determine the transition matrix that describes this situation.
b) Find the eigenvalues of A and factor A into a product XDX^-1, where D is diagonal.
c) Compute lim_n rightarrow infinity A^n x and explain what this means in terms of the towns political spectrum.
Answers: 2
Mathematics, 21.06.2019 16:20, angelb2472
Consider the function y = f(x)=3^x the values of f(1/2) and f(1/4). rounded to the nearest hundredth, are__and__ respectively
Answers: 3
Mathematics, 22.06.2019 02:00, ashiteru123
The function h (t) = -16t squared + 28t + 500 represents the height of a rock t seconds after it's propelled by a slingshot what does h (3.2) represent?
Answers: 1
The city of Smithville maintains a constant population of 300,000 people from year to year. A politi...
Mathematics, 26.10.2020 01:10
Mathematics, 26.10.2020 01:10
Computers and Technology, 26.10.2020 01:10
History, 26.10.2020 01:10
Biology, 26.10.2020 01:10
History, 26.10.2020 01:10
Geography, 26.10.2020 01:10
English, 26.10.2020 01:10