Answer:
1
Step-by-step explanation:
Let the number be x
x² + 2x = 3
x² + 2x - 3 = 0
Product = -3
Sum =2
Factors = 3 * (-1)
x² + 3x - x - 3 = 0
x*(x+3) - (x + 3) = 0
(x + 3)(x - 1) = 0
Ignore x + 3 because the number is a positive number
x - 1 = 0
x = 1
The number is 1
Answer:
769.6902 (or 769.3) cubic feet of water
Step-by-step explanation:
πr^2
r = 7
5 x π(7)^2 = 769.6902 (or 769.3 using 3.14)
Answer:
what is y term??
Step-by-step explanation:
hope it helps
Answer:
The steady state proportion for the U (uninvolved) fraction is 0.4.
Step-by-step explanation:
This can be modeled as a Markov chain, with two states:
U: uninvolved
M: matched
The transitions probability matrix is:

The steady state is that satisfies this product of matrixs:
![[\pi] \cdot [P]=[\pi]](https://tex.z-dn.net/?f=%5B%5Cpi%5D%20%5Ccdot%20%5BP%5D%3D%5B%5Cpi%5D)
being π the matrix of steady-state proportions and P the transition matrix.
If we multiply, we have:

Now we have to solve this equations

We choose one of the equations and solve:

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.
Since he sold it for $75 more,
% Mark Up = Mark Up/ Cost Price x 100%
% Mark Up = 75 / 125 x 100% = 0.6 x 100% = 60%
Percent Mark Up = 60%
Hope this helps :)