You have been working on a new entrepreneurial venture with a few friends for the past year. Everyone’s efforts are really start

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:

NPV = negative 37,599

Explanation:

To determine the NPV of the new sewing machine, we subtract the investment from the present value of anticipated cash inflows.

Initial investment = Cost of machine + Training expenses - Salvage value

Initial investment = 2,450,000 + 85,000 - 250,000

Initial investment = 2,285,000

Year                                      DF(9%)   Present Value

1  Cash inflow     390,000  x 0.917      $357,798

2 Cash inflow     400,000  x 0.842    $336,672

3 Cash inflow     411,000   x  0.772     $317,367

4 Cash inflow     426,000  x 0.708     $301,789

5 Cash inflow     334,100  x 0.650     $217,077       (434,100 - 100,000)

6 Cash inflow     435,000  x 0.596    $259,376

7 Cash inflow     436,000 x 0.547     $238,507

7 Salvage value 400,000 x 0.547     $218,814  

     

Present Value of cash inflow             $2,247,401

Initial investment                                $2,285,000

NPV ($2,247,401 - $2,285,000)          (37,599)    

Conclusion: Hillsong should refrain from acquiring the new machine since the NPV is negative.      

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.

Answer: Achieving peace of mind

Explanation:

A secure retirement plan focused on financial stability includes:

Automating savings.

Managing impulsive spending.

Assessing spending habits and living frugally.

Investing towards future goals.

The correct choice is A. The Mars Climate Orbiter met with disaster on Mars's surface because one program calculated thrust in foot-pounds while another anticipated it in newtons. The Mars Climate Orbiter, part of NASA’s Mars Surveyor '98 initiative, failed in its mission to analyze the Martian climate. Designed as a satellite to relay information for the Mars Polar Lander, after that lander malfunctioned, it was meant to continue studying Martian weather patterns. The orbiter was lost when a navigation error caused it to enter an orbit too low, leading to its destruction from atmospheric stresses. An inquiry revealed that some thrust data were computed in English units while the navigation team was using SI units.