Response:
$22,419,192.19
Detailed explanation:
Utilizing an Excel sheet, I calculated the future payments and their present worth. If the annual payments rise by $450,000 each year, then the second payment will amount to $1.9 million, not $1.7 million.
Year Payment
0 $1,000,000
1 $1,450,000
2 $1,900,000
3 $2,350,000
4 $2,800,000
5 $3,250,000
6 $3,700,000
7 $4,150,000
8 $4,600,000
9 $5,050,000
10 $5,500,000
Present worth = $22,419,192.19
Answer:
P14 = $55.69545045394 rounded to $55.70
Explanation:
The dividend discount model (DDM) based on constant growth can help determine the current stock price. It assesses a stock’s price using the present value of the anticipated future dividends. The formula for determining today's price with a constant growth DDM is,
P0 = D1 / (r - g)
Where,
- D1 represents the expected dividend for Year 1 or the following year
- g denotes the constant growth rate for dividends
- r signifies the discount rate or the required rate of return
To find the stock price today, we will utilize the dividend expected in Year 1. Consequently, to compute the stock price 14 years into the future, we calculate D15. D15 can be figured out as follows,
D15 = D1 * (1+g)^14
D15 = 0.50 * (1+0.09)^14
D15 = $1.67086351362 rounded to $1.67
Now applying the DDM formula for the price,
P14 = 1.67086351362 / (0.12 - 0.09)
P14 = $55.69545045394 rounded to $55.70
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.
The Citizen Band (CB) radio originated in 1940 when the Federal Communications Commission (FCC) began regulating it for local personal and business use. To listen or call for police help, one should switch to channel 9.
the answer that is correct is a) Fast. The reasoning behind this can be guessed quite easily. Primarily, individuals tend to be risk-averse when it comes to valuing their money, which means they generally avoid taking risks. Even though opportunities that promise higher profits, increased visibility, or greater monetary rewards seem enticing initially, they inherently come with unavoidable risks, and there is always a possibility that such opportunities may not yield the expected outcomes. That being said, raising funds rapidly becomes a challenging task.
