To calculate Dan's monthly utility bill, we'll look at each component of his utility usage and compute the cost according to the rates provided.
1. Electricity Cost:
- Dan uses 240 kWh of electricity.
- The rate for electricity is [tex]$0.15 per kWh.
- Therefore, the electricity cost is \( 240 \text{kWh} \times \$[/tex]0.15/\text{kWh} = \[tex]$36.00 \).
2. Gas Cost:
- Dan uses 990 cubic feet (ft³) of gas.
- The rate for gas is $[/tex]1 per 100 ft³.
- Therefore, the gas cost is [tex]\( \frac{990 \text{ft}^3}{100} \times \$1 = 9.9 \text{ units} \times \$1/\text{unit} = \$9.90 \)[/tex].
3. Water Cost:
- Dan uses 450 gallons of water.
- The rate for water is [tex]$0.03 per 10 gallons.
- Therefore, the water cost is \( \frac{450 \text{gal}}{10} \times \$[/tex]0.03 = 45 \text{ units} \times \[tex]$0.03/\text{unit} = \$[/tex]1.35 \).
4. Phone Cost:
- Dan has a phone plan that costs [tex]$40 per month.
- Therefore, the phone cost is \( \$[/tex]40.00 \).
5. Internet Cost:
- Dan has an internet plan that costs [tex]$100 per month.
- Therefore, the internet cost is \( \$[/tex]100.00 \).
6. Maintenance Cost:
- Dan does not pay any maintenance costs as mentioned.
- Therefore, the maintenance cost is [tex]\( \$0.00 \)[/tex].
Now, we sum up all these individual costs to obtain the total monthly utility bill:
[tex]\[
\text{Total Utility Bill} = \text{Electricity Cost} + \text{Gas Cost} + \text{Water Cost} + \text{Phone Cost} + \text{Internet Cost} + \text{Maintenance Cost}
\][/tex]
Substituting in the amounts computed:
[tex]\[
\text{Total Utility Bill} = \$36.00 + \$9.90 + \$1.35 + \$40.00 + \$100.00 + \$0.00 = \$187.25
\][/tex]
Hence, Dan's total monthly utility bill is \$187.25.
