Answer:
option d) approximately 84%
Explanation:
Data provided in the question:
Mean, m = $92
Standard deviation, s = $13
Now,
we have to calculate percentage of homes will have a monthly utility bill of more than $79 i.e P(X > 79)
also,
P( X > 79) = 1 - P( X < 79)
Z-score for (X = 79 ) = ![\frac{X-m}{s}](https://tex.z-dn.net/?f=%5Cfrac%7BX-m%7D%7Bs%7D)
Z = ![\frac{79-92}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B79-92%7D%7B13%7D)
or
Z = -1
From the standard Z value vs P table, we have
P( Z < -1 ) = 0.1587
Thus,
P( X < 79) = P( Z < -1 ) = 0.1587
therefore,
P(X > 79) = 1 - 0.1587
or
P(X > 79) = 0.8413
or
= 0.8413 × 100%
= 84.13%
Hence,
option d) approximately 84%
Answer:
6%
Explanation:
Yield to maturity is the annual rate of return that an investor receives if a bond bond is held until the maturity. It is the long term return of the bond which is expressed in annual term.
Face value = F = $1,000
Coupon payment = $1,000 x 7.5% = $75
Selling price = P = $1110.40
Number of payment = n = 10 years
Yield to maturity = [ C + ( F - P ) / n ] / [ (F + P ) / 2 ]
Yield to maturity = [ $75 + ( $1,000 - $1,110.4 ) / 10 ] / [ ( $1,000 + $1,110.4 ) / 2 ]
Yield to maturity = [ $75 - 11.04 ] / $1,055.2
Yield to maturity = $63.96 / $1,055.2
Yield to maturity = 0.0606 = 6.06%
Rounded off to whole percentage 6%
Answer:
A) R(x) = 120x - 0.5x^2
B) P(x) = - 0.75x^2 + 120x - 2500
C) 80
D) 2300
E) 80
Explanation:
Given the following :
Price of suit 'x' :
p = 120 - 0.5x
Cost of producing 'x' suits :
C(x)=2500 + 0.25 x^2
A) calculate total revenue 'R(x)'
Total Revenue = price × total quantity sold, If total quantity sold = 'x'
R(x) = (120 - 0.5x) * x
R(x) = 120x - 0.5x^2
B) Total profit, 'p(x)'
Profit = Total revenue - Cost of production
P(x) = R(x) - C(x)
P(x) = (120x - 0.5x^2) - (2500 + 0.25x^2)
P(x) = 120x - 0.5x^2 - 2500 - 0.25x^2
P(x) = - 0.5x^2 - 0.25x^2 + 120x - 2500
P(x) = - 0.75x^2 + 120x - 2500
C) To maximize profit
Find the marginal profit 'p' (x)'
First derivative of p(x)
d/dx (p(x)) = - 2(0.75)x + 120
P'(x) = - 1.5x + 120
-1.5x + 120 = 0
-1.5x = - 120
x = 120 / 1.5
x = 80
D) maximum profit
P(x) = - 0.75x^2 + 120x - 2500
P(80) = - 0.75(80)^2 + 120(80) - 2500
= -0.75(6400) + 9600 - 2500
= -4800 + 9600 - 2500
= 2300
E) price per suit in other to maximize profit
P = 120 - 0.5x
P = 120 - 0.5(80)
P = 120 - 40
P = $80
The correct option is, (d) study all of its internal resources with an understanding of which capabilities offer value to meet the needs of U.S., Japanese, European, and Korean automakers.
<h3>What will happen in theory if a company is able to align its strategy and structure?</h3>
- A business is debating altering its organizational structure in order to capitalize on a consumer trend.
- The business recognizes the potential revenue that could result from this new consumer behavior, which is very profitable.
<h3>Which of the following is an example of an intangible company resource?</h3>
- Trademarks, goodwill, and patents are a few examples of intangible assets.
<h3>Why is IT important for a company to align its IT strategy to business strategy?</h3>
- IT strategy and business goals should be coordinated to ensure that everyone is on the same page and working toward the same objectives.
- This helps to guide and inform decision-making.
- IT systems are more likely to be useful, well-used tools when they are chosen and implemented in accordance with an organization's strategic goal.
Learn more about internal analysis here:
brainly.com/question/6426686
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