The probability that the first student dressed inappropriately for the football game will be the 10th student checked is <u>3.182%</u>.
<h3>What is probability?</h3>
Probability refers to the chance that an outcome occurs given the possibility of many outcomes.
As a measure, probability represents the ratio of the outcomes from a set of equally likely outcomes.
<h3>Data and Calculations:</h3>
Estimated proportion of students dressed inappropriately = 7%
Number of players for a football game = 22 (11 x 2)
Probability that the first one dressed inappropriately will be the 10th = 0.031818 (0.07 x 10/22).
Thus, the probability that the first student dressed inappropriately for the football game will be the 10th student checked is <u>3.182%</u>.
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Answer:
C) formed a valid contract because Rachel's outward expressions showed the formation of a contract.
Explanation:
A valid contract is a binding and enforceable agreement, where all parties are legally bound to perform the contract.
Probably the most important part of a contract is the existence of an offer and acceptance. Once a valid offer is accepted, it binds the parties into a valid contract.
In this case, Rachel accepted Julius´s offer to buy her boat, so an offer and acceptance exists.
The current value of the payment which is $1000 will be:
A=P(1+r/100)^-n
P=1000
r=5 %
n=1
A=1000(1+5/100)^-1
A=1000/1.05
A=$952.38
The first payments of $1000 is worth $952.38 today. The value of the second $1000 is worth:
A=1000(1+0.05)^-2=907.02
today
The compensation that can be provided to the employer over and above employee's income could be an Insurance payment or accumulated Tax refund.
<h3>What is Insurance?</h3>
Insurance is a financial plan that promises to mitigate any loss suffers.
<h3>What is
Tax refund?</h3>
A tax refund entails money return to an organization if they pay more tax than they should.
In conclusion, the compensation that can be provided to the employer over and above employee's income could be an Insurance payment or accumulated Tax refund.
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Answer:
Total amount of dividends paid over the last three years is $20500
Explanation:
The net income of the company is either retained in the company or paid out as dividends. To calculate the value of the ending retained earnings, we use the following formula,
Ending balance = Beginning balance + Net Income - Dividends
We first need to calculate the total net income for the 3 year period. The total net income for the 3 year period is, 3 * 6500 = $19500
Plugging in the available values for the ending and beginning balance of retained earnings and net income, we can calculate the value of total dividends paid for the three year period.
15000 = 16000 + 19500 - Dividends
Dividends = 35500 - 15000
Dividends = $20500