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The amount of goodwill that Baine records at the purchase date is $80,000.
Using this formula
Goodwill=Purchased price-Fair value of assets
Where:
Purchased price=$500,000
Fair value of assets=$420,000
Let plug in the formula
Goodwill=$500,000-$420,000
Goodwill=$80,000
Inconclusion the amount of goodwill that Baine records at the purchase date is $80,000.
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