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Jeff owns an apartment and uses 225 kWh of electricity, 1000 ft[tex]\(^3\)[/tex] of gas, 455 gallons of water, and internet and phone plans as described in the table. He typically spends about \[tex]$120 per month on maintenance costs. Calculate his monthly utility and maintenance expenses.

\begin{tabular}{|l|r|l|r|}
\hline \multicolumn{3}{|c|}{ Utilities } \\
\hline Electricity & \$[/tex]0.15 / kWh & Phone & \[tex]$40 / month \\
\hline Gas & \$[/tex]1 / 100 ft[tex]\(^3\)[/tex] & Internet & \[tex]$100 / month \\
\hline Water & \$[/tex]0.03 / 10 gal & Maintenance & \$120 / month \\
\hline
\end{tabular}

Round to the nearest cent.

Sagot :

GinnyAnswer
To determine Jeff's monthly utility and maintenance expenses, let's break down the problem into simpler parts by calculating each type of utility expense separately and then summing all these costs along with his maintenance costs.

### Step 1: Calculate the Electricity Cost
Jeff uses 225 kwh of electricity, and the cost is \[tex]$0.15 per kwh. The formula to calculate the cost of electricity is: \[ \text{Electricity Cost} = \text{Electricity Usage (kwh)} \times \text{Cost per kwh} \] \[ \text{Electricity Cost} = 225 \, \text{kwh} \times \$[/tex]0.15 \, \text{per kwh} = \[tex]$33.75 \] ### Step 2: Calculate the Gas Cost Jeff uses 1000 cubic feet of gas, and the cost is \$[/tex]1 per 100 cubic feet.
The formula to calculate the cost of gas is:
[tex]\[ \text{Gas Cost} = \frac{\text{Gas Usage (cubic ft)}}{100} \times \text{Cost per 100 cubic ft} \][/tex]
[tex]\[ \text{Gas Cost} = \frac{1000 \, \text{cubic ft}}{100} \times \$1 = 10 \times \$1 = \$10.00 \][/tex]

### Step 3: Calculate the Water Cost
Jeff uses 455 gallons of water, and the cost is \[tex]$0.03 per 10 gallons. The formula to calculate the cost of water is: \[ \text{Water Cost} = \frac{\text{Water Usage (gallons)}}{10} \times \text{Cost per 10 gallons} \] \[ \text{Water Cost} = \frac{455 \, \text{gallons}}{10} \times \$[/tex]0.03 = 45.5 \times \[tex]$0.03 = \$[/tex]1.365 \]

### Step 4: Calculate the Phone and Internet Cost
Jeff's phone plan costs \[tex]$40 per month. \[ \text{Phone Cost} = \$[/tex]40 \]

Jeff's internet plan costs \[tex]$100 per month. \[ \text{Internet Cost} = \$[/tex]100 \]

### Step 5: Calculate the Total Utility Costs
Sum all the individual utility costs:
[tex]\[ \text{Total Utilities Cost} = \text{Electricity Cost} + \text{Gas Cost} + \text{Water Cost} + \text{Phone Cost} + \text{Internet Cost} \][/tex]
[tex]\[ \text{Total Utilities Cost} = \$33.75 + \$10.00 + \$1.365 + \$40 + \$100 = \$185.115 \][/tex]

### Step 6: Calculate the Total Monthly Expenses
Jeff spends an additional \[tex]$120 per month on maintenance costs. \[ \text{Maintenance Cost} = \$[/tex]120 \]

Add the total utility costs and maintenance costs to find the total monthly expenses:
[tex]\[ \text{Total Monthly Expenses} = \text{Total Utilities Cost} + \text{Maintenance Cost} \][/tex]
[tex]\[ \text{Total Monthly Expenses} = \$185.115 + \$120 = \$305.115 \][/tex]

Rounding to the nearest cent:
[tex]\[ \text{Total Monthly Expenses} = \$305.12 \][/tex]

Thus, Jeff's total monthly utility and maintenance expenses are:
[tex]\[ \boxed{\$305.12} \][/tex]
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