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How are the frequency \( f \) and the angular frequency \( \omega \) related? Provide the numerical relationship in your answer.

If the driving generator frequency of the circuit is very large, what happens to the voltages?

Answer :

Form the statement, Jacob Corporation's share of Gardner Enterprises' net income for the current year is $67,200.

So, the correct answer is $67,200.

To find Jacob Corporation's share of Gardner Enterprises' net income for the current year, we need to go through several steps:

1. Calculate Gardner Enterprises' adjusted book value at the date of acquisition:

  • Gardner's reported net assets: $1,414,000
  • Undervaluation of plant assets: $118,000
  • Adjusted book value: $1,414,000 + $118,000 = $1,532,000

2. Calculate Jacob Corporation's initial investment in Gardner Enterprises:

  • Jacob Corporation's payment for a 30% share: $536,200

3. Determine Jacob Corporation's share of Gardner Enterprises' net assets at the date of acquisition:

  • Jacob Corporation's share of adjusted book value: 30% * $1,532,000 = $459,600

4. Calculate Gardner Enterprises' net income for the current year:

  • Net income reported by Gardner: $224,000

5. Determine Jacob Corporation's share of Gardner Enterprises' net income for the current year:

  • Jacob Corporation's share of net income: 30% * $224,000 = $67,200

6. Calculate Jacob Corporation's ending share of Gardner Enterprises' equity:

  • Gardner Enterprises' common shares' value: $1,737,667
  • Jacob Corporation's share (30%): 30% * $1,737,667 = $521,300

7. Consider dividends declared and paid by Gardner Enterprises:

  • Dividends declared and paid: $182,000

To summarize:

  • Jacob Corporation's share of Gardner Enterprises' net income for the current year is $67,200.
  • Jacob Corporation's ending share of Gardner Enterprises' equity is $521,300.
  • Dividends declared and paid by Gardner Enterprises amount to $182,000.

So, the correct answer is $67,200.

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