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The table to the right shows expenses and income for an individual. Find the net monthly cash flow (it could be negative or positive). Assume that salaries and wages are after taxes, and assume 1 month [tex]$=4$[/tex] weeks.

\begin{tabular}{l|l}
\textbf{Income} & \textbf{Expenses} \\
\hline
Salary: [tex]$\$[/tex] 2700 /$ month & \begin{tabular}{l}
Rent: [tex]$\$[/tex] 1150 /$ month \\
Groceries: [tex]$\$[/tex] 80 /$ week \\
Utilities: [tex]$\$[/tex] 105 /$ month \\
Health insurance: [tex]$\$[/tex] 350$ semiannually \\
Car insurance: [tex]$\$[/tex] 440$ semiannually \\
Gasoline: [tex]$\$[/tex] 45 /$ week \\
Miscellaneous: [tex]$\$[/tex] 420 /$ month \\
Phone: [tex]$\$[/tex] 75 /$ month
\end{tabular}
\end{tabular}

The net monthly cash flow is [tex]$\$[/tex][tex]$ $[/tex]\square$ (Round to the nearest dollar as needed.)



Answer :

GinnyAnswer
To solve for the net monthly cash flow based on the given income and expenses, follow a detailed, step-by-step solution:

1. Identify Monthly Income:
- Salary: $2700 per month

2. Calculate Monthly Expenses:

- Rent: $1150 per month

- Groceries: $80 per week
- Since there are 4 weeks in a month: $80 \times 4 = 320 per month.

- Utilities: $105 per month

- Health Insurance: $350 semiannually
- Semiannual means 6 months, so monthly expense: $350 / 6 \approx 58.33 per month.

- Car Insurance: $440 semiannually
- Semiannual means 6 months, so monthly expense: $440 / 6 \approx 73.33 per month.

- Gasoline: $45 per week
- Since there are 4 weeks in a month: $45 \times 4 = 180 per month.

- Miscellaneous: $420 per month

- Phone: $75 per month

3. Sum Up All Monthly Expenses:
- Rent: $1150
- Groceries: $320
- Utilities: $105
- Health Insurance: $58.33
- Car Insurance: $73.33
- Gasoline: $180
- Miscellaneous: $420
- Phone: $75

Total Monthly Expenses: [tex]$1150 + $[/tex]320 + [tex]$105 + $[/tex]58.33 + [tex]$73.33 + $[/tex]180 + [tex]$420 + $[/tex]75 = 2381.6666666666665

4. Calculate Net Monthly Cash Flow:
- Income: $2700
- Total Expenses: $2381.6666666666665

Net Monthly Cash Flow: [tex]$2700 - $[/tex]2381.6666666666665 = 318.3333333333335

5. Round to the Nearest Dollar:
- Net Monthly Cash Flow: [tex]$318.3333333333335 ≈ $[/tex]318

Thus, the net monthly cash flow is $318.

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