Answer:
a 2d shape with infinite points that are all equidistant from the center.
Answer:
The necessary cash flow is $ 7,594,936.70.
Step-by-step explanation:
To determine the cash flow necessary before taxes and interest to support the project if $ 2 million is used to pay interest, the tax rate is 21%, and equity investors require annual income of $ 4 million, the following calculation must be performed:
X - 0.21X - 2,000,000 = 4,000,000
X - 0.21X = 4,000,000 + 2,000,000
0.79X = 6,000,000
X = 6,000,000 / 0.79
X = 7,594,936.70
Therefore, the necessary cash flow is $ 7,594,936.70.
Answer:
X=12
Step-by-step explanation:
Add the two equations together and equate them to 180 due to the geometrical reason that angles on a straight line add up to 180.
10X-20+6X+8=180 (collect like terms)
10X+6X=180-8+20
16X=192 (Divide both sides by 16)
X=12
Hope that helps :)
Answer:
a) the probability is P(G∩C) =0.0035 (0.35%)
b) the probability is P(C) =0.008 (0.8%)
c) the probability is P(G/C) = 0.4375 (43.75%)
Step-by-step explanation:
defining the event G= the customer is a good risk , C= the customer fills a claim then using the theorem of Bayes for conditional probability
a) P(G∩C) = P(G)*P(C/G)
where
P(G∩C) = probability that the customer is a good risk and has filed a claim
P(C/G) = probability to fill a claim given that the customer is a good risk
replacing values
P(G∩C) = P(G)*P(C/G) = 0.70 * 0.005 = 0.0035 (0.35%)
b) for P(C)
P(C) = probability that the customer is a good risk * probability to fill a claim given that the customer is a good risk + probability that the customer is a medium risk * probability to fill a claim given that the customer is a medium risk +probability that the customer is a low risk * probability to fill a claim given that the customer is a low risk = 0.70 * 0.005 + 0.2* 0.01 + 0.1 * 0.025
= 0.008 (0.8%)
therefore
P(C) =0.008 (0.8%)
c) using the theorem of Bayes:
P(G/C) = P(G∩C) / P(C)
P(C/G) = probability that the customer is a good risk given that the customer has filled a claim
replacing values
P(G/C) = P(G∩C) / P(C) = 0.0035 /0.008 = 0.4375 (43.75%)