Answer:
11967.58
Step-by-step explanation:
The formula is
A=p(1+r/k)^(k×t)
A future value
P present value
R interest rate
K compounded monthly 12
T time
A=8,093×(1+(0.049÷12))^(12×8)=11967.58
Answer:
a) P( 
| X ) = 0.180
b) P(Y | 
) = 0.998
Step-by-step explanation:
Let
P(X) - Probability that he acts hungry
P(Y) - Probability that he had ate dinner,
Given,
P(X | Y) = 0.5
P(X | ) = 0.99
P(Y) = 0.9
a.)
P( | X ) = 
= 
= 0.180
⇒P( | X ) = 0.180
b.)
P(Y | ) = 
= ![\frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451}](https://tex.z-dn.net/?f=%5Cfrac%7B%281%20-%200.5%29%280.9%29%7D%7B1%20-%20%5B%280.99%29%280.1%29%20%2B%20%280.5%29%280.9%29%20%5D%7D%20%3D%20%5Cfrac%7B%280.5%29%280.9%29%7D%7B1%20-%20%5B%280.099%29%20%2B%20%280.45%29%20%5D%7D%20%3D%20%5Cfrac%7B0.45%7D%7B1%20-%20%5B0.540%5D%7D%20%3D%20%5Cfrac%7B0.45%7D%7B0.451%7D)
= 0.998
⇒P(Y | ) = 0.998
The ratio being 1:5:3, you would have to just make those numbers still in that ratio, but they have to add up to 180 degrees.The angles would be 20 degrees, 100 degrees, and 60 degrees. Hope that helped. :)
Answer: 8
Step-by-step explanation: on the left chain, there are 5 4’s, so 4 times 5 is 20 Because you know that, subtract it from 60 to only have the W’s values. So 60-20 is 40 and because there is 5 w’s do 40/5 is 8. Therefore, the value of the w’s is 8 and the value of the 4’s is 20
Answer:
A) 4.5
Step-by-step explanation:
you can set up a ratio comparing AB/CB to (AB + BD)/5
3/2 = 3 + BD/5
cross-multiply to get 15 = 2(3 + BD)
15 = 6 + 2BD
9 = 2BD
9/2 = BD
