Sure, let's break down Jeff's monthly expenses for utilities and maintenance in a step-by-step manner.
1. Electricity Cost:
- Jeff uses 300 kwh of electricity.
- The rate for electricity is [tex]$0.15 per kwh.
- To find the cost, multiply the usage by the rate:
\[
\text{Electricity cost} = 300 \, \text{kwh} \times 0.15 \, \text{\$[/tex] per kwh} = \[tex]$45.00
\]
2. Gas Cost:
- Jeff uses 1010 ft³ of gas.
- The rate for gas is \( \$[/tex]1.00 \text{ per } 100 \, \text{ft}^3 \).
- To find the cost, first convert the usage to units of 100 ft³, then multiply by the rate:
[tex]\[
\text{Gas cost} = \frac{1010 \, \text{ft}^3}{100} \times 1.00 \, \text{\$ per 100 ft}^3 = 10.10 \, \text{units} \times \$1.00 = \$10.10
\][/tex]
3. Water Cost:
- Jeff uses 520 gallons of water.
- The rate for water is [tex]\( \$0.03 \text{ per } 10 \, \text{gallons} \)[/tex].
- To find the cost, convert the usage to units of 10 gallons, then multiply by the rate:
[tex]\[
\text{Water cost} = \frac{520 \, \text{gallons}}{10} \times 0.03 \, \text{\$ per 10 gallons} = 52 \, \text{units} \times 0.03 = \$1.56
\][/tex]
4. Phone Cost:
- The monthly phone cost is \[tex]$40.00.
5. Internet Cost:
- The monthly internet cost is \$[/tex]100.00.
6. Total Utility Cost:
- Sum the costs for electricity, gas, water, phone, and internet:
[tex]\[
\text{Total utility cost} = 45.00 + 10.10 + 1.56 + 40.00 + 100.00 = \$196.66
\][/tex]
7. Maintenance Cost:
- The monthly maintenance cost is \[tex]$120.00.
8. Total Monthly Cost:
- Add the total utility cost to the maintenance cost:
\[
\text{Total monthly cost} = 196.66 + 120.00 = \$[/tex]316.66
\]
In conclusion, Jeff's monthly utility cost is \[tex]$196.66, and his total monthly expenses including maintenance are \$[/tex]316.66.
