Answer:
c. $455.75
Explanation:
The calculations for the quarterly payments are as follows:
= Remaining balance ÷ PVIFA factor for 2.5% over 12 years
Here,
Remaining balance is
= $5,500 - $5,500 × 15%
= $5,500 - $825
= $4,675
And the PVIFA factor for 2.5% across 12 years is 10.2578.
Refer to the PVIFA table.
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= $4,675 ÷ 10.2578
= $455.75
Considering quarterly payments, the rate is divided by four and the time frame becomes four times as long.
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A medium level profession can be characterized as someone who has progressed beyond the entry level but is not at the upper echelons. Conversely, a high level profession signifies that an individual has not only surpassed entry level but also reached the upper limits.
Answer: The average annual arithmetic return is 3.75%.
Explanation:
Year 1 = 10%
Year 2 = 15%
Year 3 = 15%
Year 4 = -25%
Total return = 15%
The arithmetic average annual return is calculated as (Year 1 return + Year 2 return + Year 3 return + Year 4 return) / 4 = 15% / 4 = 3.75%.
The price coefficient (b) in the linear demand function is calculated as -0.10, derived from the elasticity of demand formula. By substituting known quantities into the equation, we find that the slope b equals -0.10.
Answer:
- As explained below, with the individual’s score in the 0.03125 fraction of top candidates, they can anticipate securing a position.
Explanation:
Utilizing Chebyshev’s Theorem is key.
This theorem is valid for any dataset, irrespective of its shape.
Chebyshev's Theorem states that at least 1−1/k² of the data falls within k standard deviations from the mean.
For this data set, the specifics are:
- mean: 60
- standard deviation: 6
- score: 84
The number of standard deviations that 84 is from the mean can be calculated as:
- k = (score - mean) / standard deviation
- k = (84 - 60) / 6 = 24 / 6 = 4
Hence, the individual’s score is 4 standard deviations above the mean.
How significant is this?
According to Chebyshev’s Theorem, at least 1−1/k² of the data is within k standard deviations from the mean. Setting k = 4 gives us:
- 1 - 1/4² = 1 - 1/16 = 0.9375
- This implies that half of 1 - 0.9375 exceed k = 4: 0.03125
- Consequently, 1 - 0.03125 is below k = 4: 0.96875
With 70 job openings and 1,000 applicants, the ratio is 70/1,000 = 0.07, indicating the company seeks the top 0.07 of applicants.
Given the individual scores in the top 0.03125 of applicants, they can expect to obtain a job.
