Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Sure! Let's go through the process of finding the missing amounts in each of the cases step-by-step.
### Case 1: Finding [tex]\( a \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$61,000 \)[/tex]
- Profit for the year: [tex]\( \$16,750 \)[/tex]
- Owner's withdrawals during the year: [tex]\( \$0 \)[/tex] (since it's missing, assume 0 if not given)
- Equity on December 31: [tex]\( \$57,000 \)[/tex]
Using the accounting equation for equity:
[tex]\[ \text{Equity, January 1} + \text{Investments} + \text{Profit (Loss)} - \text{Withdrawals} = \text{Equity, December 31} \][/tex]
Substituting the values:
[tex]\[ 0 + 61,000 + 16,750 - 0 = 57,000 \][/tex]
Calculating:
[tex]\[ 77,750 \][/tex]
So, the missing amount [tex]\( a \)[/tex] is [tex]\( 77,750 \)[/tex].
### Case 2: Finding [tex]\( b \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$32,500 \)[/tex]
- Profit for the year: [tex]\( \$31,500 \)[/tex]
- Owner's withdrawals during the year: [tex]\( \$28,000 \)[/tex]
- Equity on December 31: [tex]\( \$50,000 \)[/tex]
Using the accounting equation for equity:
[tex]\[ 0 + 32,500 + 31,500 - 28,000 = 50,000 \][/tex]
Calculating:
[tex]\[ (0 + 32,500 + 31,500 - 28,000) = 36,000 \][/tex]
So, the missing amount [tex]\( b \)[/tex] is [tex]\( 92,000 \)[/tex].
### Case 3: Finding [tex]\( c \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$38,500 \)[/tex]
- Loss for the year: [tex]\( -\$4,600 \)[/tex] (loss is subtracted)
- Owner's withdrawals during the year: [tex]\( \$21,000 \)[/tex]
- Equity on December 31: [tex]\( \$?(c) \)[/tex]
Using the equation:
[tex]\[ 0 + 38,500 - 4,600 - 21,000 \][/tex]
Calculating:
[tex]\[ 38,500 - 4,600 - 21,000 = 12,900 \][/tex]
So, the missing amount [tex]\( c \)[/tex] is [tex]\( 54,900 \)[/tex].
### Case 4: Finding [tex]\( d \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$0 \)[/tex] (since it's not given)
- Profit for the year: [tex]\( \$0 \)[/tex] (since it's not given)
- Owner's withdrawals during the year: [tex]\( \$16,250 \)[/tex]
- Equity on December 31: [tex]\( \$33,000 \)[/tex]
Using the equation:
[tex]\[ 0 + 0 - 0 - 16,250 = 33,000 \][/tex]
Solving for the initial investments:
[tex]\[ d = 33,000 + 16,250 = 49,250 \][/tex]
So, the missing amount [tex]\( d \)[/tex] is [tex]\( 41,100 \)[/tex].
### Case 5: Finding [tex]\( e \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$141,000 \)[/tex]
- Loss for the year: [tex]\( -\$8,100 \)[/tex] (loss is subtracted)
- Owner's withdrawals during the year: [tex]\( \$64,000 \)[/tex]
- Equity on December 31: [tex]\( \$172,000 \)[/tex]
Using the equation:
[tex]\[ 0 + 141,000 - 8,100 + 64,000 = 172,000 \][/tex]
Calculating:
[tex]\[ 141,000 - 8,100 + 64,000 = 196,900 - 172,000 = 24,900 \][/tex]
So, the missing amount [tex]\( e \)[/tex] is [tex]\( -24,900 \)[/tex].
### Case 1: Finding [tex]\( a \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$61,000 \)[/tex]
- Profit for the year: [tex]\( \$16,750 \)[/tex]
- Owner's withdrawals during the year: [tex]\( \$0 \)[/tex] (since it's missing, assume 0 if not given)
- Equity on December 31: [tex]\( \$57,000 \)[/tex]
Using the accounting equation for equity:
[tex]\[ \text{Equity, January 1} + \text{Investments} + \text{Profit (Loss)} - \text{Withdrawals} = \text{Equity, December 31} \][/tex]
Substituting the values:
[tex]\[ 0 + 61,000 + 16,750 - 0 = 57,000 \][/tex]
Calculating:
[tex]\[ 77,750 \][/tex]
So, the missing amount [tex]\( a \)[/tex] is [tex]\( 77,750 \)[/tex].
### Case 2: Finding [tex]\( b \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$32,500 \)[/tex]
- Profit for the year: [tex]\( \$31,500 \)[/tex]
- Owner's withdrawals during the year: [tex]\( \$28,000 \)[/tex]
- Equity on December 31: [tex]\( \$50,000 \)[/tex]
Using the accounting equation for equity:
[tex]\[ 0 + 32,500 + 31,500 - 28,000 = 50,000 \][/tex]
Calculating:
[tex]\[ (0 + 32,500 + 31,500 - 28,000) = 36,000 \][/tex]
So, the missing amount [tex]\( b \)[/tex] is [tex]\( 92,000 \)[/tex].
### Case 3: Finding [tex]\( c \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$38,500 \)[/tex]
- Loss for the year: [tex]\( -\$4,600 \)[/tex] (loss is subtracted)
- Owner's withdrawals during the year: [tex]\( \$21,000 \)[/tex]
- Equity on December 31: [tex]\( \$?(c) \)[/tex]
Using the equation:
[tex]\[ 0 + 38,500 - 4,600 - 21,000 \][/tex]
Calculating:
[tex]\[ 38,500 - 4,600 - 21,000 = 12,900 \][/tex]
So, the missing amount [tex]\( c \)[/tex] is [tex]\( 54,900 \)[/tex].
### Case 4: Finding [tex]\( d \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$0 \)[/tex] (since it's not given)
- Profit for the year: [tex]\( \$0 \)[/tex] (since it's not given)
- Owner's withdrawals during the year: [tex]\( \$16,250 \)[/tex]
- Equity on December 31: [tex]\( \$33,000 \)[/tex]
Using the equation:
[tex]\[ 0 + 0 - 0 - 16,250 = 33,000 \][/tex]
Solving for the initial investments:
[tex]\[ d = 33,000 + 16,250 = 49,250 \][/tex]
So, the missing amount [tex]\( d \)[/tex] is [tex]\( 41,100 \)[/tex].
### Case 5: Finding [tex]\( e \)[/tex]
#### Given:
- Equity on January 1: [tex]\( \$0 \)[/tex]
- Owner's investments during the year: [tex]\( \$141,000 \)[/tex]
- Loss for the year: [tex]\( -\$8,100 \)[/tex] (loss is subtracted)
- Owner's withdrawals during the year: [tex]\( \$64,000 \)[/tex]
- Equity on December 31: [tex]\( \$172,000 \)[/tex]
Using the equation:
[tex]\[ 0 + 141,000 - 8,100 + 64,000 = 172,000 \][/tex]
Calculating:
[tex]\[ 141,000 - 8,100 + 64,000 = 196,900 - 172,000 = 24,900 \][/tex]
So, the missing amount [tex]\( e \)[/tex] is [tex]\( -24,900 \)[/tex].
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
