Answer:
The responses to the given can be defined as follows:
Step-by-step explanation:
For point a:
fixing probability vector that is ![W = [a b c]](https://tex.z-dn.net/?f=W%20%3D%20%5Ba%20b%20c%5D)
relation: 
solving the value:
Therefore the stationary distribution ![\pi =[0.3387 \ 0.3710\ 0.2903]](https://tex.z-dn.net/?f=%5Cpi%20%3D%5B0.3387%20%5C%200.3710%5C%20%200.2903%5D)
For point b:
will be limiting distribution if 
satisfies the above condition so, it is limiting the distribution.
Answer:
$13.78
Step-by-step explanation:
to get the tax, you multiply $13.12 by 0.05, which would be 0.656. then you add that to the original price of 13.12 and round it up to get your answer
![\left[\begin{array}{ccc}1&3&7\\1&1&1\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%267%5C%5C1%261%261%5Cend%7Barray%7D%5Cright%5D%20)
multiply 2nd row by -1 and add to first row
![\left[\begin{array}{ccc}0&2&6\\1&1&1\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%262%266%5C%5C1%261%261%5Cend%7Barray%7D%5Cright%5D%20)
divide the 1st row by 2
![\left[\begin{array}{ccc}0&1&3\\1&1&1\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%263%5C%5C1%261%261%5Cend%7Barray%7D%5Cright%5D%20)
multiply the first row by -1 and add to 2nd row
![\left[\begin{array}{ccc}0&1&3\\1&0&-2\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%263%5C%5C1%260%26-2%5Cend%7Barray%7D%5Cright%5D%20)
now we know
y+3=0
x-2=0
therefor
y=-3
x=2
Associative, Commutative, Multiplicative, and distributive:)
Answer:
p(t) = 5*2^t
Step-by-step explanation:
We can solve for 'a' and 'b' using the point coordinates shown on the graph.
<h3>Setup</h3>
Substituting for (t, p(t)), the two equations we can make from the given points are ...
p(t) = a*b^t
5 = a*b^0 . . . . . . . (t, p(t)) = (0, 5)
10 = a*b^1 . . . . . . . (t, p(t)) = (1, 10)
<h3>Solution</h3>
The first equation tells you ...
5 = a
The second equation tells you ...
10 = 5*b
2 = b
<h3>Equation</h3>
The function is ...
p(t) = a*b^t
p(t) = 5*2^t
