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Sagot :
Let's analyze the provided data step-by-step to determine how much money can be saved without having a negative actual net income.
### Step 1: Identify Budgeted and Actual Values
The table provides both budgeted and actual amounts for various categories:
#### Budgeted:
- Income: \[tex]$1150 - Wages: \$[/tex]25
- Savings Interest: \[tex]$0 - Expenses: \$[/tex]400
- Rent: \[tex]$100 - Utilities: \$[/tex]250
- Food: \[tex]$75 - Cell Phone: \$[/tex]200
- Savings: \[tex]$150 #### Actual: - Income: \$[/tex]900
- Wages: \[tex]$25 - Savings Interest: \$[/tex]0
- Expenses: \[tex]$400 - Rent: \$[/tex]80
- Utilities: \[tex]$200 - Food: \$[/tex]75
- Cell Phone: \[tex]$0 - Savings: \$[/tex]0
### Step 2: Calculate Net Budgeted Income
To calculate the net budgeted income, we sum up all budgeted incomes and subtract all expenses:
[tex]\[ \text{Net Budgeted Income} = (\text{Income} + \text{Wages} + \text{Savings Interest}) - (\text{Expenses} + \text{Rent} + \text{Utilities} + \text{Food} + \text{Cell Phone} + \text{Savings}) \][/tex]
Substituting the values:
[tex]\[ \text{Net Budgeted Income} = (1150 + 25 + 0) - (400 + 100 + 250 + 75 + 200 + 150) \][/tex]
[tex]\[ \text{Net Budgeted Income} = 1175 - 1175 \][/tex]
[tex]\[ \text{Net Budgeted Income} = 0 \][/tex]
### Step 3: Calculate Net Actual Income
Next, we calculate the net actual income:
[tex]\[ \text{Net Actual Income} = (\text{Income} + \text{Wages} + \text{Savings Interest}) - (\text{Expenses} + \text{Rent} + \text{Utilities} + \text{Food} + \text{Cell Phone}) \][/tex]
Substituting the actual values:
[tex]\[ \text{Net Actual Income} = (900 + 25 + 0) - (400 + 80 + 200 + 75 + 0) \][/tex]
[tex]\[ \text{Net Actual Income} = 925 - 755 \][/tex]
[tex]\[ \text{Net Actual Income} = 170 \][/tex]
### Step 4: Determine Savings Capacity
The savings capacity is the amount of money that can be saved without having a negative actual net income. Since the net actual income is positive (170), the savings capacity is:
[tex]\[ \text{Savings Capacity} = \text{Net Actual Income} \][/tex]
[tex]\[ \text{Savings Capacity} = 170 \][/tex]
### Conclusion
The amount of money that can be saved without having a negative actual net income is \$170.
### Step 1: Identify Budgeted and Actual Values
The table provides both budgeted and actual amounts for various categories:
#### Budgeted:
- Income: \[tex]$1150 - Wages: \$[/tex]25
- Savings Interest: \[tex]$0 - Expenses: \$[/tex]400
- Rent: \[tex]$100 - Utilities: \$[/tex]250
- Food: \[tex]$75 - Cell Phone: \$[/tex]200
- Savings: \[tex]$150 #### Actual: - Income: \$[/tex]900
- Wages: \[tex]$25 - Savings Interest: \$[/tex]0
- Expenses: \[tex]$400 - Rent: \$[/tex]80
- Utilities: \[tex]$200 - Food: \$[/tex]75
- Cell Phone: \[tex]$0 - Savings: \$[/tex]0
### Step 2: Calculate Net Budgeted Income
To calculate the net budgeted income, we sum up all budgeted incomes and subtract all expenses:
[tex]\[ \text{Net Budgeted Income} = (\text{Income} + \text{Wages} + \text{Savings Interest}) - (\text{Expenses} + \text{Rent} + \text{Utilities} + \text{Food} + \text{Cell Phone} + \text{Savings}) \][/tex]
Substituting the values:
[tex]\[ \text{Net Budgeted Income} = (1150 + 25 + 0) - (400 + 100 + 250 + 75 + 200 + 150) \][/tex]
[tex]\[ \text{Net Budgeted Income} = 1175 - 1175 \][/tex]
[tex]\[ \text{Net Budgeted Income} = 0 \][/tex]
### Step 3: Calculate Net Actual Income
Next, we calculate the net actual income:
[tex]\[ \text{Net Actual Income} = (\text{Income} + \text{Wages} + \text{Savings Interest}) - (\text{Expenses} + \text{Rent} + \text{Utilities} + \text{Food} + \text{Cell Phone}) \][/tex]
Substituting the actual values:
[tex]\[ \text{Net Actual Income} = (900 + 25 + 0) - (400 + 80 + 200 + 75 + 0) \][/tex]
[tex]\[ \text{Net Actual Income} = 925 - 755 \][/tex]
[tex]\[ \text{Net Actual Income} = 170 \][/tex]
### Step 4: Determine Savings Capacity
The savings capacity is the amount of money that can be saved without having a negative actual net income. Since the net actual income is positive (170), the savings capacity is:
[tex]\[ \text{Savings Capacity} = \text{Net Actual Income} \][/tex]
[tex]\[ \text{Savings Capacity} = 170 \][/tex]
### Conclusion
The amount of money that can be saved without having a negative actual net income is \$170.
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