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:
The expected rate of return on this stock is 10.31%
Explanation:
The constangt growth model of the DDM approach is used to calculate the price of a share based on the edxpected future dividends from a stock that are growing at a constant rate. The formula for price using constant growth model is,
P0 = D0 * (1+g) / (r - g)
Plugging in the values,
65 = 1.7 * (1+0.075) / (r - 0.075)
65 * (r - 0.075) = 1.8275
65r - 4.875 = 1.8275
65r = 1.8275 + 4.875
r= 6.7025 / 65
r = 10.31% or 0.1031
Answer:
1 month
Explanation:
The last coupon paid by this bond was made on August 1, 2018, and the transaction is made on September 1, 2018, therefore, only 1 month has passed since the last coupon was paid. Therefore, accrued interests will be charged for only 1 month.
When bonds are sold including accrued interests, they are said to be sold at their dirty price.
Answer:
b. the par value of all capital stock issued.
Explanation:
As per the business format, capital of a company is the value of share capital.
Now, also legal capital means the share capital issued as this reflects the legal share of individual investors in the company.
Authorized capital is the value of maximum capital that can be issued by the company in the form of equity shares.
Issued capital is that part of authorized capital that is actually issued.
And therefore, the par value that is the face value of shares issued, that is equity issued is the legal capital of the company.
