Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
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]
### 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]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
