Hey there! :)
Answer:
A = 9/16 in².
Step-by-step explanation:
Use the formula A = s² to solve for the area where s = 3/4 in:
A = (3/4)²
A = 9/16 in².
The fraction of the orange juice will be 2/3cup.
Why?
Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.
We can calculate the fraction of the orange juice using the following information:
Hence, we have that the fraction of the orange juice will be 2/3cup.
Have a nice day!
The debt ratio on the Murk is 45%
<span>The debt ratio on the Mini is 90% </span>
<span>The average between the two is 63% </span>
<span>Payoff are estimates only. Paying $375/mo with the highest interest rate first will have the Mini @ $50/mo paid off by Jul 2016 and the Murk @ $326/mo paid off by Sep 2016. What you'll do is pay the minimum on the lowest interest rate card and apply the remainder of the $375 budget to the highest interest rate card. When the Mini is paid off, combine that payment with the Murk and continue wit the $375 payments.</span>
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%)
she will have to pay $61875 of interest at the end of the 15 years.
in total she would have to pay $211875
