You pay your secretary $8.00 per hour. A stamped envelope costs 42 cents, and regular stationery costs 5 cents per page, but fancy letterhead stationery costs 18 cents per page. Assume that a letter requires fancy letterhead stationery for the first page but that regular paper will suffice for the rest of the letter. (Round your answers to the nearest cent.)  Use the function you made in part (d) to find the cost of preparing and mailing a 2-page letter that it takes your secretary 40 minutes to type.

To solve this problem, we need to calculate the total cost of preparing and mailing a 2-page letter. The cost includes the secretary's time, the stationery, and the postage.

### Step 1: Calculate the Secretary's Time Cost
The secretary is paid $8.00 per hour. Since the task takes 40 minutes, we convert this time into hours:
\[
\text{Time in hours} = \frac{40 \text{ minutes}}{60 \text{ minutes per hour}} = \frac{2}{3} \text{ hours}
\]
So, the cost for the secretary's time is:
\[
\text{Cost of time} = 8.00 \times \frac{2}{3} = \frac{16}{3} \approx 5.33 \text{ dollars}
\]

### Step 2: Calculate the Stationery Cost
- The first page requires fancy letterhead stationery, which costs 18 cents per page.
- The second page uses regular stationery, which costs 5 cents per page.

So, the cost of stationery is:
\[
\text{Stationery cost} = 0.18 \text{ (for fancy paper)} + 0.05 \text{ (for regular paper)} = 0.23 \text{ dollars}
\]

### Step 3: Calculate the Postage Cost
The cost of a stamped envelope is 42 cents:
\[
\text{Postage cost} = 0.42 \text{ dollars}
\]

### Step 4: Calculate the Total Cost
Finally, we add all the costs together:
\[
\text{Total cost} = \text{Cost of time} + \text{Stationery cost} + \text{Postage cost}
\]
\[
\text{Total cost} = 5.33 + 0.23 + 0.42 = 5.98 \text{ dollars}
\]

### Answer
The total cost of preparing and mailing a 2-page letter that takes 40 minutes to type is **$5.98**.

Would you like more details on any part of this solution? Here are some related questions you might find useful:

1. How would the cost change if the letter had 3 pages?
2. What if the secretary's hourly wage increased to $10?
3. How would the cost be affected if regular stationery was used for all pages?
4. How would the cost change if the letter required 1 hour to type?
5. What if the stamped envelope cost 50 cents instead of 42 cents?

**Tip:** Always break down a problem into smaller steps, like calculating each part separately, to avoid confusion and errors.

You pay your secretary $8.00 per hour. A stamped envelope costs 42 cents, and regular stationery costs 5 cents per page, but fancy letterhead stationery costs 18 cents per page. Assume that a letter requires fancy letterhead stationery for the first page but that regular paper will suffice for the rest of the letter. (Round your answers to the nearest cent.) Use the function you made in part (d) to find the cost of preparing and mailing a 2-page letter that it takes your secretary 40 minutes to type.

Learn how to calculate the total cost of preparing and mailing a 2-page letter. This problem involves cost calculation, including secretary's time, stationery, and postage. Ideal for students in Grades 9-12.

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