Answer:
The thief has a 0.11% probability of hitting the pin code on the first try.
Explanation:
Simply, if the ATM card has a 3-digit code that can be repeated, and the board has 9 numbers (for example, from 1 to 9), we must start from the smallest number that could be formed with these numbers to the highest number that these numbers could also compose, which in the case would be 111 and 999. Then, 889 different numbers could be formed (it is the distance between 111 and 999), with which the possibility of hitting the key to the first attempt would be 1 in 889 times, or 1/889.
To take the probability to a percentage, we must know that 889 / 8.89 gives 100. Therefore, dividing 1 / 8.89 we will know the percentage of probabilities of hitting the key on the first attempt: 1 / 8.89 = 0.11.
This shows us that the thief has a 0.11% probability of hitting the key on the first try.
Answer:
increased
Explanation:
Data provided in the question:
Price of a gallon of gasoline in 1972 = $0.35
CPI in 1972 = 0.418
Price of a gallon of gasoline in 2005 = $2.25
CPI in 2005 = 1.68
Now,
Real cost in 1972 = [ Nominal cost in 1972 ] ÷ [ CPI in 1972 ]
= $0.35 ÷ 0.418
= $0.837
Real cost in 2005 = [ Nominal cost in 2005 ] ÷ [ CPI in 2005 ]
= $2.25 ÷ 1.68
= $1.34
Hence,
The price of gallon of gasoline increased between 1972 and 2005
Explanation:
The organizational structure and culture are essential for the design of a strategic plan aligned with the organization's purpose.
What happens is that the structure and culture of an organization constitute its identity, its way of organizing itself and creating an environment designed to obtain the objectives and goals stipulated by strategic planning. So it can be said that there is no way to develop a strategic plan without considering the structure or culture, because it is through these two variables that action plans are developed and modeled according to what the company is, and what it plans to be in the future. All organizational systems must be foreseen in the planning and be developed with the same degree of importance, because together they form the organizational whole that will lead a company to be well positioned in the market, achieve continuous improvement in its processes, achieve competitive advantage in the market, etc.
If the original price of Dima’s skirt was $54, the amount that she have saved at the store was option(b)i.e, $1.80.
Let's just take the sales price of the skirt Dima purchased from the discount shop as the rate of the other retailer is not provided.
Original price: $54
Discount rate: 30%
$54 x 30% = $16.20 value of the discount
$54 - 16.20 = $37.80 discounted price.
Since Dima's friend told her she could have had a better deal at a different store, this means that the discount rate is higher than 30%. i.e, the discount is 33.33%
$54 x 33.33% = $17.99 value of the discount
$54 - 17.99 = $36.00 discounted price.
Discount store: $37.80
Different store: $36.00
The different store sales price is cheaper by $1.80
Therefore, she could have saved $1.80 at the store her friend suggested.
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Answer:
weighted average rate: 11.14%
capitalize interest (avoidable interest) 421,270.24 dollars
Explanation:
construction related loan:
4,400,000 12% = 528,000
general use:
3,080,000 10% = 308,000
<u>2,200,000</u> 11% = <u> 242,000</u>
9,680,000 1,078,000
weighted-average rate: 1,078,000 / 9,680,000 = 0.111363636 = 11.14%
capitalize interest:
weighted-average amount of accumulated expenditures x w/a rate:
3,781,600 x 11.14% = 421,270.24
