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Macy lives in an apartment and uses 235 kWh of electricity, 925 ft³ of gas, 425 gallons of water, and internet and phone plans as described in the table. She pays no maintenance costs because she rents the apartment. Calculate her monthly utility bill.

[tex]\[
\begin{tabular}{|l|r|l|r|}
\hline \multicolumn{4}{|c|}{ Utilities } \\
\hline Electricity & \$0.15 / kWh & Phone & \$40 / month \\
\hline Gas & \$1 / 100 ft³ & Internet & \$100 / month \\
\hline Water & \$0.03 / 10 Gal & Maintenance & \$120 / month \\
\hline
\end{tabular}
\][/tex]

[tex]\[
\text{\$[?]}
\][/tex]

Round to the nearest cent.


Sagot :

To calculate Macy's monthly utility bill, we need to consider the cost of electricity, gas, water, phone, and internet, then sum these costs up to get the total.

1. Electricity Cost:
- Electricity usage: 235 kwh
- Rate: \[tex]$0.15 per kwh \[ \text{Electricity Cost} = 235 \text{ kwh} \times 0.15 \text{ \$[/tex]/kwh} = 35.25 \text{ \[tex]$} \] 2. Gas Cost: - Gas usage: 925 ft³ - Rate: \$[/tex]1.00 per 100 ft³

[tex]\[ \text{Gas Cost} = \left(\frac{925 \text{ ft}^3}{100}\right) \times 1.00 \text{ \$/100 ft}^3 = 9.25 \text{ \$} \][/tex]

3. Water Cost:
- Water usage: 425 gallons
- Rate: \[tex]$0.03 per 10 gallons \[ \text{Water Cost} = \left(\frac{425 \text{ gallons}}{10}\right) \times 0.03 \text{ \$[/tex]/10 gallons} = 1.27 \text{ \[tex]$} \] 4. Phone Cost per Month: - Flat rate: \$[/tex]40 per month

[tex]\[ \text{Phone Cost} = 40.00 \text{ \$} \][/tex]

5. Internet Cost per Month:
- Flat rate: \[tex]$100 per month \[ \text{Internet Cost} = 100.00 \text{ \$[/tex]}
\]

6. Maintenance Cost per Month:
Because Macy pays no maintenance costs, the maintenance cost is:

[tex]\[ \text{Maintenance Cost} = 0.00 \text{ \$} \][/tex]

7. Total Monthly Utility Bill:
Now, sum up all the calculated individual costs.

[tex]\[ \text{Total Monthly Utility Bill} = 35.25 \text{ \$} (\text{Electricity}) + 9.25 \text{ \$} (\text{Gas}) + 1.27 \text{ \$} (\text{Water}) + 40.00 \text{ \$} (\text{Phone}) + 100.00 \text{ \$} (\text{Internet}) + 0.00 \text{ \$} (\text{Maintenance}) \][/tex]

[tex]\[ \text{Total Monthly Utility Bill} = 185.78 \text{ \$} \][/tex]

Therefore, Macy's monthly utility bill is \$185.78, rounded to the nearest cent.