A printer charges ​$2.25 for binding plus 5 cents per page for each copy of a community​ group's annual report. Write the cost equation and answer the following questions. Question content area bottom Part 1 What is the fixed​ cost? ​$2.25 ​(Simplify your answer. Type an integer or a​ decimal.) Part 2 What is the variable​ cost? ​$0.05 ​(Simplify your answer. Type an integer or a​ decimal.) Part 3 Let y represent the cost of the annual report and x represent the number of pages. What is the cost​ equation? yequals0.05 x plus 2.25 ​(Simplify your​ answer.) Part 4 What will it cost to produce a 27 page​ report? ​$enter your response here ​(Simplify your answer. Type an integer or a​ decimal.)

Answer 1

To address your requests, let's break down each part of the problem regarding the cost of printing.

Part 1: What is the fixed cost?
The fixed cost is the charge for binding, which is $2.25.

Part 2: What is the variable cost?
The variable cost is the cost per page, which is $0.05 (5 cents).

Part 3: What is the cost equation?
Let \( y \) represent the total cost and \( x \) represent the number of pages. The cost equation can be written as:
\[ y = 0.05x + 2.25 \]

Part 4: What will it cost to produce a 27-page report?
Using the cost equation from Part 3: \[ y = 0.05(27) + 2.25 \]
Calculating this:

• \( 0.05 \times 27 = 1.35 \)
• Then add the binding cost:
  \[ y = 1.35 + 2.25 = 3.60 \]

So, the cost to produce a 27-page report will be $3.60.

Answer 2

If the report cost was ​$5.75​, the report is
  
enter your response here pages.
​(Simplify your answer. Type an integer or a​ decimal.)

Answer 3

To determine the number of pages \( x \) in a report that costs $5.75 using the cost equation from Part 3:

The cost equation is: \[ y = 0.05x + 2.25 \]

Given that the cost \( y \) is $5.75, we can set up the equation: \[ 5.75 = 0.05x + 2.25 \]

Now, we will solve for \( x \):

1. Subtract the fixed cost ($2.25) from both sides: \[ 5.75 - 2.25 = 0.05x \] \[ 3.50 = 0.05x \]

2. Now, divide both sides by 0.05 to find \( x \): \[ x = \frac{3.50}{0.05} \] \[ x = 70 \]

Hence, the report is 70 pages long.

Answer 4

A printer charges ​$1.75 for binding plus 10 cents per page for each copy of a community​ group annual report. Write the cost equation and answer the following questions. Question content area bottom Part 1 What is the fixed​ cost? ​$1.75 ​(Simplify your answer. Type an integer or a​ decimal.) Part 2 What is the variable​ cost? ​$0.10 ​(Simplify your answer. Type an integer or a​ decimal.) Part 3 Let y represent the cost of the annual report and x represent the number of pages. What is the cost​ equation? equals.10 x plus 1.75 ​(Simplify your​ answer.) Part 4 What will it cost to produce a 25 page​ report? ​$enter your response here

Answer 5

Let's go through each part of the problem related to the cost of printing an annual report.

Part 1: What is the fixed cost?
The fixed cost is the charge for binding, which is $1.75.

Part 2: What is the variable cost?
The variable cost is the cost per page, which is $0.10 (10 cents).

Part 3: What is the cost equation?
Let \( y \) represent the total cost and \( x \) represent the number of pages. The cost equation can be written as:
\[ y = 0.10x + 1.75 \]

Part 4: What will it cost to produce a 25-page report?
Using the cost equation from Part 3, we can compute: \[ y = 0.10(25) + 1.75 \]
Calculating this:

• \( 0.10 \times 25 = 2.50 \)
• Then add the binding cost:
  \[ y = 2.50 + 1.75 = 4.25 \]

So, the cost to produce a 25-page report will be $4.25.

Answer 6

If the report cost was ​$6.75​, the report is
  
enter your response here pages.
​(Simplify your answer. Type an integer or a​ decimal.)

Answer 7

To determine the number of pages \( x \) in a report that costs $6.75 using the cost equation from the previous parts:

The cost equation is: \[ y = 0.10x + 1.75 \]

Given that the cost \( y \) is $6.75, we can set up the equation: \[ 6.75 = 0.10x + 1.75 \]

Now, let's solve for \( x \):

1. Subtract the fixed cost ($1.75) from both sides: \[ 6.75 - 1.75 = 0.10x \] \[ 5.00 = 0.10x \]

2. Now, divide both sides by 0.10 to find \( x \): \[ x = \frac{5.00}{0.10} \] \[ x = 50 \]

Thus, if the report cost was $6.75, the report is 50 pages long.

Answer 8

A cash incentives program to encourage you to purchase a more fuel efficient car rewards you with a ​$5500 credit for trading in an old car provided you purchase a new car with fuel economy at least 10 miles per gallon more than your old car. This​ incentive, along with a​ 0% interest​ loan, was too much to resist. Your car payment is ​$480 per month. Complete parts a through d below.

Answer 9

To help you with this scenario, I’ll set up a logical framework for understanding the details of the cash incentives program and the loan information provided. Below are some questions and guidance based on this information. When you ask for parts a through d, I’ll assume you may want to explore aspects such as budget, savings, or any calculations related to the loan or fuel savings. Here’s how we can outline those parts.

Part A: Calculate the Total Payment Over the Loan Term

1. Monthly Payment: $480

2. To calculate the total payment over a certain loan term (for example, 5 years which is common), you can use the formula: \[ \text{Total Payment} = \text{Monthly Payment} \times \text{Number of Months} \]

   Example calculation for a 5-year term:

   • Number of Months = 5 years * 12 months/year = 60 months \[ \text{Total Payment} = 480 \times 60 = 28,800 \]

Part B: Determine How the Cash Incentive Affects the Price of the New Car

If you have a trade-in value of $5,500 applied to the new car, this would effectively lower the overall price that you would need to finance.

Part C: Calculate Fuel Savings

To calculate potential fuel savings, you would need:

• The miles driven per month.
• The fuel efficiency of the old car and the new car.

Assuming:

• Old car fuel economy = \( X \) mpg
• New car fuel economy = \( X + 10 \) mpg
• Monthly miles driven = \( M \) miles

You could calculate:

1. Fuel Consumption Old Car: \[ \text{Old Car Consumption} = \frac{M}{X} \text{ gallons} \]

2. Fuel Consumption New Car: \[ \text{New Car Consumption} = \frac{M}{X + 10} \text{ gallons} \]

3. Monthly Fuel Savings: Subtract the fuel consumption of the new car from that of the old car. Then, multiply by the monthly fuel price to get your savings.

Part D: Overall Financial Impact

You may also want to compare the total vehicle costs including payments and fuel expenses over the loan term looking at the initial extra cost if any is incurred, subtracting the incentives and evaluating long-term savings through fuel efficiency.

Please specify the details needed in each part (like specific months for loan term, fuel price, miles driven, old car mpg, and new car mpg) for further calculations, or let me know if you need a different topic covered!

Answer 10

A cash incentives program to encourage you to purchase a more fuel efficient car rewards you with a ​$5500 credit for trading in an old car provided you purchase a new car with fuel economy at least 10 miles per gallon more than your old car. This​ incentive, along with a​ 0% interest​ loan, was too much to resist. Your car payment is ​$480 per month. Complete parts a through d below.
Question content area bottom
Part 1
a. Write an equation to determine the total amount p paid on the car after n​ months, including the ​$5500 credit.
  
y equals 480 x plus 5,500

Answer 11

Let's break down your request regarding the total amount paid on the car after \( n \) months, given the terms of the incentive and the loan.

Part 1: Write an Equation for the Total Amount Paid

You're given:

• Monthly car payment: \( $480 \)
• Cash incentive (credit for trading in): \( $5,500 \)

The equation should reflect both the monthly payments over \( n \) months and the cash incentive. It looks like you are looking for an equation for the total amount \( y \) paid after \( n \) months.

The Equation:

\[ y = 480n + 5500 \]

Where:

• \( y \) is the total amount paid after \( n \) months.
• \( 480n \) represents the total payment from the car payments.
• \( 5500 \) is the credit received from the trade-in of the old car.

So, your equation is correct in form, reflecting the total paid after accounting for the cash incentive.

Next Steps:

If you'd like to continue with parts b, c, and d or have specific questions about things such as how long it would take to pay off, total payments without the cash incentive, or savings, please let me know!