Explore a diverse range of topics and get answers from knowledgeable individuals on IDNLearn.com. Our experts provide timely, comprehensive responses to ensure you have the information you need.
Sagot :
To find the month when you would have paid the same total amount for each internet service, we need to create an equation that models the total cost for each company and then solve for the number of months, [tex]\( m \)[/tex], where the total costs are equal.
1. Define the costs:
- Company A:
- Installation fee: [tex]$60.00 - Monthly price: $[/tex]42.95
- Company B:
- Installation fee: [tex]$25.00 - Monthly price: $[/tex]49.95
2. Create the total cost equations:
- Company A: Total cost after [tex]\( m \)[/tex] months = [tex]\( 60.00 + 42.95m \)[/tex]
- Company B: Total cost after [tex]\( m \)[/tex] months = [tex]\( 25.00 + 49.95m \)[/tex]
3. Set the total costs equal to each other:
[tex]\[ 60.00 + 42.95m = 25.00 + 49.95m \][/tex]
4. Solve for [tex]\( m \)[/tex] (the number of months):
- Subtract [tex]\( 42.95m \)[/tex] from both sides to isolate the variable terms:
[tex]\[ 60.00 = 25.00 + (49.95m - 42.95m) \][/tex]
- Simplify inside the parentheses:
[tex]\[ 60.00 = 25.00 + 7.00m \][/tex]
- Subtract [tex]\( 25.00 \)[/tex] from both sides to isolate the term with [tex]\( m \)[/tex]:
[tex]\[ 60.00 - 25.00 = 7.00m \][/tex]
[tex]\[ 35.00 = 7.00m \][/tex]
- Divide both sides by 7.00 to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{35.00}{7.00} \][/tex]
[tex]\[ m = 5 \][/tex]
Therefore, after 5 months, you would have paid the same total amount for each internet service.
1. Define the costs:
- Company A:
- Installation fee: [tex]$60.00 - Monthly price: $[/tex]42.95
- Company B:
- Installation fee: [tex]$25.00 - Monthly price: $[/tex]49.95
2. Create the total cost equations:
- Company A: Total cost after [tex]\( m \)[/tex] months = [tex]\( 60.00 + 42.95m \)[/tex]
- Company B: Total cost after [tex]\( m \)[/tex] months = [tex]\( 25.00 + 49.95m \)[/tex]
3. Set the total costs equal to each other:
[tex]\[ 60.00 + 42.95m = 25.00 + 49.95m \][/tex]
4. Solve for [tex]\( m \)[/tex] (the number of months):
- Subtract [tex]\( 42.95m \)[/tex] from both sides to isolate the variable terms:
[tex]\[ 60.00 = 25.00 + (49.95m - 42.95m) \][/tex]
- Simplify inside the parentheses:
[tex]\[ 60.00 = 25.00 + 7.00m \][/tex]
- Subtract [tex]\( 25.00 \)[/tex] from both sides to isolate the term with [tex]\( m \)[/tex]:
[tex]\[ 60.00 - 25.00 = 7.00m \][/tex]
[tex]\[ 35.00 = 7.00m \][/tex]
- Divide both sides by 7.00 to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{35.00}{7.00} \][/tex]
[tex]\[ m = 5 \][/tex]
Therefore, after 5 months, you would have paid the same total amount for each internet service.
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.