A reality TV show features business owners who try to persuade investors to put money into their companies in exchange for parti
al ownership of the company.
To make a fair deal, the owner estimates the total value of the business and sets the amount of the investment based on the size of the share, as a percentage. For example, an investor could provide $3 million in exchange for 30 percent ownership stake in a company that is worth $10 million.
Abbey owns a company that sells cat toys. She wants an investor to put $100,000 into her company so that she can expand the business.
Which equation correctly relates an investor's share, S (as a percentage), to the total value of Abbey's company, V?
To make a fair deal, the owner estimates the total value of the business and sets the amount of the investment based on the size of the share, as a percentage. For example, an investor could provide $3 million in exchange for 30 percent ownership stake in a company that is worth $10 million.
Abbey owns a company that sells cat toys. She wants an investor to put $100,000 into her company so that she can expand the business.
Which equation correctly relates an investor's share, S (as a percentage), to the total value of Abbey's company, V?
1 answer:
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Answer:
(a) . The domain of this function is all real numbers not equal to -2 or 5.
(b) . The domain of this function is all real numbers not equal to 0,
or
.
(c) .The domain of this function is all real numbers not equal to 2 or -4.
(d) . The domain of this function is all real numbers not equal to -2.
(e) . The domain of this function is all real numbers.
Step-by-step explanation:
To reduce each rational expression to lowest terms you must:
(a) For
The denominator in a fraction cannot be zero because division by zero is undefined. So we need to figure out what values of the variable(s) in the expression would make the denominator equal zero.
To find any values for x that would make the denominator = 0 you need to set the denominator = 0 and solving the equation.
Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0
The domain is the set of all possible inputs of a function which allow the function to work. Therefore the domain of this function is all real numbers not equal to -2 or 5.
(b) For
Quotient = 1
Remainder =
- The domain of this function is all real numbers not equal to 0,
or
(c) For
- The domain of this function is all real numbers not equal to 2 or -4.
(d) For
- The domain of this function is all real numbers not equal to -2
(e) For
- The domain of this function is all real numbers.
Answer:
Approximately 201 squared inches.
Step-by-step explanation:
So, the composite figure is made up of a square and a semi-circle. The square has side lengths of 12 and the semi-circle has a radius of 6.
The total area of the figure would be the area of the square plus the area of the semi-circle. Thus, find the area of each individual figure.
Square:
The area of a square is given by:
Where l is the side length.
Substitute 12 for l:
So the square is 144 square inches.
Semi-circle:
The area of a semi-circle is given by:
Substitute 6 for r and 3.14 for π:
Therefore, the total area is: