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The amount allocated to goodwill at January 1, 2020, is $16,000.
First step
Book value purchased = (550,000 - 300,000) ×30%
Book value purchased= 250,000 ×30%
Book value purchased= 75,000
Excess=75,000 × 30%
Excess= 25,000
Second step
Allocated to patent= (40,000 - 10,000)×30%
Allocated to patent= 30,000×30%
Allocated to patent= 9,000
Third step
Goodwill = 25,000 - 9,000
Goodwill=$16,000
Therefore the amount allocated to goodwill at January 1, 2020, is $16,000.
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