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Dvinal [7]
4 years ago
10

Frank is trying to decide between two job offers. The compensation package for job A includes a $450-per-month health insurance

plan, to which Frank would contribute $85; a $45-per-month life insurance plan; a salary of $67,000 per year; and a 6% match on 401(k) contributions. The compensation package for job B includes a $500-per-month health insurance plan, to which Frank would contribute $115; a $40-per-month life insurance plan; a salary of $65,000 per year; and an 8% match on 401(k) contributions. Frank plans to contribute $8000 per year to his 401(k) plan. (10 points: Part I – 2 points; Part II – 2 points; Part III – 2 points; Part IV – 3 points; Part V – 1 point)
Part I: What is the yearly value of the health insurance benefit from job A? How about the yearly value of the health insurance benefit from job B? (2 points)



Part II: What is the yearly value of the life insurance benefit from job A? How about the yearly value of the life insurance benefit from job B? (2 points)


What is the yearly value of the 401(k) match from job A? How about the yearly value of the 401(k) match from job B?
Mathematics
1 answer:
miv72 [106K]4 years ago
8 0
<span>The yearly value of the health insurance from job A is $4380. To find this, take the $450 per month, and subtract Frank's contribution of $85. 450-85=$365 benefit per month. Multiply the monthly benefit by 12 months to get 365*12=4380. The yearly value of the health insurance from job B is $4620. To find this, take the $500 per month and subtract Frank's contribution, 500-115=385. No multiply the monthly benefit by 12 to get 385*12=4620.</span>
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The number of bacteria in petri dish A doubles every 10 minutes. The number of bacteria in oetri dish B doubles every 6 minites.
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Petri Dish A sees a double ever 10 minutes
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7 0
3 years ago
You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th
Firlakuza [10]

Answer:

P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=24, p=0.04)

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

3 0
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What is the perimeter of the figure? <br><br> A. 144 cm <br> B. 76 cm <br> C. 74 cm <br> D. 45 cm
tatiyna
76 cm would be your answer, so B.
8 0
3 years ago
Read 2 more answers
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