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Q5 Consider a square coil of 60 turns is placed in YZ-plane. The turns are insulated with a material whose relative permeability is 16. Length of sides of the coil are 25cm along the y-axis and 7cm along the z-axis. This coil is carrying a current of 30mA and is exposed to a magnetic field intensity of $\vec{H} = 4a_x + 3 - 4a_z A/M$. Calculate the resultant magnetic torque on this coil. (10 Marks) D_TEM_035_04 Page 2 of 12

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Parent acquires 60% of Subsidiary Corp for $500,000 on January 1, 2012. The remaining 40% is valued at $250,000. The consolidation date is 12/31/15. On the acquisition date Subsidiary had the following assets and liabilities: BOOK FAIR VALUECash 150,000 150,000 Accounts Receivable 200,000 200,000 Buildings - 6 year life 300,000 360,000 Equipment - 4 year life 300,000 280,000 Customer List - 10 year life 100,000 Liabilities (400,000) (400,000)Retained Earnings 153,334 On 12/31/15 the following is available ParentSubsidiary Current Assets 244,000 100,000 Investment in Subsidiary 500,000 Buildings (net) 700,000 200,000 Equipment (net) 400,000 500,000 Land 220,000 200,000 Total 2,064,000 1,000,000 Liabilities (500,000) (200,000)Common Stock (724,000) (480,000)Retained Earnings 12/31 (840,000) (320,000) Total (2,064,000) (1,000,000) Revenue (600,000) (300,000)Operating expenses 410,000 210,000 Dividend Income (42,000) Net Income separate company (232,000) (90,000) Retained Earnings 1/1 (700,000) (300,000)Net Income (232,000) (90,000)Dividends 92,000 70,000 Retained Earnings 12/31 (840,000) (320,000) What is the amount of the (*C) entry ? What is the amount of the (A) entry that is credited to non-controlling interest? What is the Non-controlling interest that will appear on the Balance Sheet? Hint; the total of the Non-controlling interest column What is the amount of the (S) entry that is credited to Investment in Subsidiary? What is the amount of Net Income of the non-controlling interest?

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Assume that at the beginning of the year, you purchase an investment for $5,260 that pays $116 annual income. Also assume the investment’s value has decreased to $4,860 by the end of the year. What is the rate of return for this investment? Is the rate of return a positive or a negative number?

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Drive the formula for the value ofP_(t)of an initial amount of money P_(o)deposited at an interest rate i for t years when compounded annually. Create a difference equation

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2 pts Sarah is often described as older than her years. She enjoys wearing high fashion and stylish makeup. She prefers going shopping and to going to the movies with her friends. Her father is often heard saying, "My little girl, Sarah, is 12 going on 21." As discussed in the text, Sarah's behavior illustrates that her ______ is ahead of her ______ ? developmental age; chronological age ? biological age; social age ? biological age; social age ? chronological age; developmental age

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You invested $6000 at the end of every year in a mutual fund with 3% APR compound interest. Part 1 a) The first three years accumulated amount at the end of each year : (Do not round until the final answer. Then round to the nearest cent as needed.) : Year Accumulated amount at the end of each year 1 enter your response here 2 enter your response here 3 enter your response here b) The accumulated amount at the end of 30 years is $ enter your response here. (Do not round until the final answer. Then round to the nearest cent as needed.)

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On December 1, Wall Company purchased trading debt securities. Pertinent data are as follows: Debt Security Cost Fair Value at 12/31 A $39,000 $36,000 B $50,000 $55,000 C $96,000 $85,000 On December 31, Wall reclassified its investment in security C from trading to available-for-sale because Wall intends to retain security C. What net loss on its securities should be included in Wall’s income statement for the year ended December 31?

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Determine the integrating factor $\mu$ and solve explicitly the linear differential equation $\frac{dy}{dx} - \frac{2y}{x} = x^2 \cos x$.

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Select all statements that are TRUE. Deductions are applied for incorrect answers. Select one or more: a. Inductance accounts for energy stored in electric fields b. Capacitance accounts for energy stored in electric fields c. Voltage across an ideal inductor is proportional to the time derivative of the current d. At DC an ideal inductor behaves as a short circuit and an ideal capacitor an open circuit e. Voltage across an ideal inductor is proportional to the time integral of the current f. Capacitance accounts for energy stored in magnetic fields g. Inductance accounts for energy stored in magnetic fields h. At DC an ideal inductor behaves as an open circuit and an ideal capacitor a short circuit Question 4 Not yet answered

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You examine a pension obligation for your company and would like to immunize it from interest rate movements. This obligation has a duration of 12.38 years, and if you only used two types of bonds, how much would you allocate to PERPETUITIES if your only other bonds available were 6 year, zero coupon bonds? Interest rates currently yield 0.07 0.6283 0.6577 0.7165 0.6871 0.6112

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