A 2 kg ball is 60m in the air with the PE of 1176. It has a bouncing restitution coefficient of 0.50.

Calculate. What is the maximum speed of the ball before it hits the floor?

After hitting the floor, it bounces back up 15m in the air with a final PE of 294.

Calculate. What is the maximum speed of the ball after it hits the floor?

Early in 2014, Dobbs Corporation engaged Kiner, Inc. to design and construct a complete modernization of Dobbs's manufacturing facility. Construction was begun on June 1, 2014 and was completed on December 31, 2014. Dobbs made the following payments to Kiner, Inc. during 2014:

Date                                              Payment

June 1, 2014                                 $6,000,000

August 31, 2014                             9,000,000

December 31, 2014                        7,500,000

In order to help finance the construction, Dobbs issued the following during 2014:

1.   $5,000,000 of 10-year, 9% bonds payable, issued at par on May 31, 2014, with interest payable annually on May 31.

2.   1,000,000 shares of no-par common stock, issued at $10 per share on October 1, 2014.

In addition to the 9% bonds payable, the only debt outstanding during 2014 was a $1,250,000, 12% note payable dated January 1, 2010 and due January 1, 2020, with interest payable annually on January 1.

Instructions

Compute the amounts of each of the following:

1.   Weighted-average accumulated expenditures qualifying for capitalization of interest cost.

2.   Avoidable interest incurred during 2014.

3.   Total amount of interest cost to be capitalized during 2014.

2. Please list and discuss at least 3 main provisions of the Dodd-Frank Act of 2010 that are designed to prevent the next crisis or make it less severe.

(Netherlands and Malaysia )

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Let A be a bounded linear operator on Hilbert space. Show that if R(A) is closed, so is R(A*)

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