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padilas [110]
2 years ago
14

Daniels is considering two job offers: a full-time permanent position that pays $78,000 annually and a full-time contract job th

at pays $40 per hour. The following information is used for calculating income, taxes, and costs. The contract job is self-employment, which is taxed an additional 7.65% of gross income. The U.S. government deducts Social Security (6.2%) and Medicare (1.45%). Daniels will deduct 15% of gross income to cover federal income tax. Daniels does not live in a state with state income tax. The permanent position will cost you $95 per month in health care benefits and 4% of your after-tax income in retirement contributions. The contract job will cost you $150 per month in health care benefits and 8% of your after-tax income in retirement contributions. Which job has a larger gross annual income?
A. Same gross annual income
B. Contract job
C. Full-time position
Mathematics
1 answer:
WITCHER [35]2 years ago
5 0

Answer:

Option B,contract job

Step-by-step explanation:

It is likely the number of hours in a work week is 40 hours .

With fifty weeks in year 2020 and 10 ten days of Bank Holidays,the gross annual income from the contract full time employment can be computed thus

gross annual income=$40*40*(53-2)=$81,600

The pay is $40 per hour

In a week 40 hours are worked

There are fifty three weeks in the year minus 10 days of holiday which represents 2 working weeks for a Monday to Friday job

The gross annual income for full time permanent role is $78,000

As a result,the full time contract job pays more

                   

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    estimated answer
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4 0
3 years ago
A veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses
Licemer1 [7]

Answer:

Probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

Step-by-step explanation:

We are given that a veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses with colic is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years.

So, firstly according to Central limit theorem the z score probability distribution for sample means is given by;

                    Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = average age of the random sample of horses with colic = 12 yrs

            \mu = average age of all horses seen at the veterinary clinic = 10 yrs

   \sigma = standard deviation of all horses coming to the veterinary clinic = 8 yrs

         n = sample of horses = 60

So, probability that a sample mean is 12 or larger for a sample from the horse population is given by = P(\bar X \geq 12)

   P(\bar X \geq 12) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{12-10}{\frac{8}{\sqrt{60} } } ) = P(Z \geq 1.94) = 1 - P(Z < 1.94)

                                                 = 1 - 0.97381 = 0.0262

Therefore, probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

4 0
3 years ago
Dose anyone know how to solve this?
sesenic [268]

Answer:

AC is double the length of AB

so AC = 12

Step-by-step explanation:

mark me as brainliest ❤️

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I NEED HELP RIGHT NOW
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Oof the answer is you (and by you I mean B)

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3 years ago
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