Answer :
To determine which month had the greatest net cash flow for the Anderson family, we need to follow these steps:
1. Calculate the total cash outflows for each of the four months.
2. Calculate the net cash flow by subtracting the total cash outflows from the total cash inflows for each month.
3. Identify the month with the highest net cash flow.
### Step 1: Summing up the total cash outflows
Let's add up all the expenses (cash outflows) to get the total for each month:
January:
- Mortgage: $1,020
- Electric: $230
- Water: $85
- Cable and Telephone: $115
- Groceries: $600
- Recreation: $150
[tex]\[ \text{Total Cash Outflows for January} = 1020 + 230 + 85 + 115 + 600 + 150 = \$2200 \][/tex]
April:
- Mortgage: $1,020
- Electric: $185
- Water: $80
- Cable and Telephone: $115
- Groceries: $540
- Recreation: $150
[tex]\[ \text{Total Cash Outflows for April} = 1020 + 185 + 80 + 115 + 540 + 150 = \$2090 \][/tex]
August:
- Mortgage: $1,020
- Electric: $115
- Water: $100
- Cable and Telephone: $115
- Groceries: $585
- Recreation: $500
[tex]\[ \text{Total Cash Outflows for August} = 1020 + 115 + 100 + 115 + 585 + 500 = \$2435 \][/tex]
December:
- Mortgage: $1,020
- Electric: $205
- Water: $90
- Cable and Telephone: $115
- Groceries: $710
- Recreation: $75
[tex]\[ \text{Total Cash Outflows for December} = 1020 + 205 + 90 + 115 + 710 + 75 = \$2215 \][/tex]
### Step 2: Calculating the net cash flow for each month
Next, we subtract the total cash outflows from the total cash inflows to determine the net cash flow for each month.
January:
[tex]\[ \text{Net Cash Flow for January} = 2760 - 2200 = \$560 \][/tex]
April:
[tex]\[ \text{Net Cash Flow for April} = 3060 - 2090 = \$970 \][/tex]
August:
[tex]\[ \text{Net Cash Flow for August} = 2760 - 2435 = \$325 \][/tex]
December:
[tex]\[ \text{Net Cash Flow for December} = 2900 - 2215 = \$685 \][/tex]
### Step 3: Identifying the month with the greatest net cash flow
Now we compare the net cash flows across the four months.
- January: \$560
- April: \$970
- August: \$325
- December: \$685
The month with the greatest net cash flow is April, with a net cash flow of \$970.
Therefore, the Anderson family had the greatest net cash flow in April.
1. Calculate the total cash outflows for each of the four months.
2. Calculate the net cash flow by subtracting the total cash outflows from the total cash inflows for each month.
3. Identify the month with the highest net cash flow.
### Step 1: Summing up the total cash outflows
Let's add up all the expenses (cash outflows) to get the total for each month:
January:
- Mortgage: $1,020
- Electric: $230
- Water: $85
- Cable and Telephone: $115
- Groceries: $600
- Recreation: $150
[tex]\[ \text{Total Cash Outflows for January} = 1020 + 230 + 85 + 115 + 600 + 150 = \$2200 \][/tex]
April:
- Mortgage: $1,020
- Electric: $185
- Water: $80
- Cable and Telephone: $115
- Groceries: $540
- Recreation: $150
[tex]\[ \text{Total Cash Outflows for April} = 1020 + 185 + 80 + 115 + 540 + 150 = \$2090 \][/tex]
August:
- Mortgage: $1,020
- Electric: $115
- Water: $100
- Cable and Telephone: $115
- Groceries: $585
- Recreation: $500
[tex]\[ \text{Total Cash Outflows for August} = 1020 + 115 + 100 + 115 + 585 + 500 = \$2435 \][/tex]
December:
- Mortgage: $1,020
- Electric: $205
- Water: $90
- Cable and Telephone: $115
- Groceries: $710
- Recreation: $75
[tex]\[ \text{Total Cash Outflows for December} = 1020 + 205 + 90 + 115 + 710 + 75 = \$2215 \][/tex]
### Step 2: Calculating the net cash flow for each month
Next, we subtract the total cash outflows from the total cash inflows to determine the net cash flow for each month.
January:
[tex]\[ \text{Net Cash Flow for January} = 2760 - 2200 = \$560 \][/tex]
April:
[tex]\[ \text{Net Cash Flow for April} = 3060 - 2090 = \$970 \][/tex]
August:
[tex]\[ \text{Net Cash Flow for August} = 2760 - 2435 = \$325 \][/tex]
December:
[tex]\[ \text{Net Cash Flow for December} = 2900 - 2215 = \$685 \][/tex]
### Step 3: Identifying the month with the greatest net cash flow
Now we compare the net cash flows across the four months.
- January: \$560
- April: \$970
- August: \$325
- December: \$685
The month with the greatest net cash flow is April, with a net cash flow of \$970.
Therefore, the Anderson family had the greatest net cash flow in April.