Answer:
False. See te explanation an counter example below.
Step-by-step explanation:
For this case we need to find:
for all 
and for 
in the Markov Chain assumed. If we proof this then we have a Markov Chain
For example if we assume that 
then we have this:
Because we can only have if we have this:
, from definition given 
With 
we have that 
So based on these conditions 
would be 1 with probability 1/2 from the definition.
If we find a counter example when the probability is not satisfied we can proof that we don't have a Markov Chain.
Let's assume that 
for this case in order to satisfy the definition then 
But on this case that means 
and on this case the probability 
, so we have a counter example and we have that:
for all 
so then we can conclude that we don't have a Markov chain for this case.
Answer:
Amount paid more than the loan=$212,123.2
Answer:
y = 1, x = - 8
or
(-8, 1)
Step-by-step explanation:
-x + 4y = 12
x + y = -7
add the equations together
0x + 5y = 5
5y = 5
y = 1
substitute y for 1 in one of the original equations to find x
x + y = -7
x + 1 = -7
x + 1 - 1 = - 7 - 1
x = - 7 - 1
x = -8
Answer:
27 quarters and 37 nickels
Step-by-step explanation:
Nickels are 5¢
Quarters are 25¢
$8.60 is 172 nickels (860/5)
$8.60 is 34.4 quarters (860/25)
So then let's split it half-and-half.
425 and 435
425 would become 17 quarters.
435 would become 87 nickels.
This is still too much.
Now let's try 700 and 160.
700 would become 28 quarters
160 would become 32 nickels.
28+32=60.
This is a lot closer.
So now 27 quarters and 37 nickels. This works.
Answer:
.180
Step-by-step explanation:
use a calculater
