Answer:
We will consider positive interest rate which is i=0.21 or i=21%
Explanation:
The formula for Future value is:

The present value will become:

where:
n is the number of years
Since the condition is same present value,so the given data form the equation:

Divide above equation by 

Let
. Above equation will become:

Rearranging above equation:

Solving the quadratic equation:
z=1.1, z=0.9
Let
will become:


For z=1.1

For z=0.9

we will consider positive interest rate which is i=0.21 or i=21%
Answer:
Gadget will have higher earning.
Explanation:
Price Earning Ratio is the ratio of Market price to the earning per share. PE Ratio measure the effect of earning over the market price of the company.
Widget
Stock Price = $30
Earning per share = $2
PE ratio = $30 / $2 = 15 times
Gadget
Stock Price = $30
Earning per share = $2
PE ratio = $20 / $1 = 20 times
Gadget will have higher earning.
Answer: D. U.S. Treasury securities and Discount loans to banks.
Explanation: When examining the Fed's balance sheet, in most periods, the two most important assets are U.S. Treasury securities and Discount loans to banks. The Fed's balance sheet balance sheet includes a large number of distinct assets and liabilities containing a great deal of information about the scale and scope of its operations. Of these assets the U.S. Treasury securities and Discount loans to banks are paramount.
U.S Treasury securities are such as bills, notes and bonds issued by the U.S. government viewed as having virtually no credit risk. As such, they are debt obligations of the U.S. government.
Discount loans to banks are direct short term loans provided to banks by the Fed to meet temporary shortages of liquidity caused by internal or external disruptions.
This would indeed present a conflict of interest. A conflict of interest occurs when a person or an organization is involved in various commitments, obligations or tasks, and where serving one interest could involve working against the other. In this case, the law firm that represents the tug boat manufacturer has as its goal the maintenance of objectivity and the pursuit of justice. However, if the son of the canal administrator joins the firm, this could be put at jeopardy, as he would have a vested interest in a particular outcome.
Answer: Altruism
Explanation: It refers to the behavior when an individual considers the benefit of other more important than the self benefit.
In the given case, the hotel chain has the sole purpose of providing best services to its customers. They are not ready to forego their dedication towards service even if it results in loss of their market share.
It is not a case of excellence as they are not charging extra for the same service to increase their profits.
Hence from the above we can conclude that the correct option is D.