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Oksanka [162]
1 year ago
8

An on-demand printing company has monthly overhead costs of $1400 in rent, $460 in electricity, $80 for phone service, and $170

for advertising and marketing. The printing cost is $10 per thousand pages for paper and ink. Write a cost function to represent the cost C(x) for printing x thousand pages for a given month.
Mathematics
1 answer:
yulyashka [42]1 year ago
5 0

a cost function to represent the cost C(x) for printing x thousand pages for a given month is  C(x) =10(x)+2110 .

<u>Step-by-step explanation:</u>

Here we have , An on-demand printing company has monthly overhead costs of $1400 in rent, $460 in electricity, $80 for phone service, and $170 for advertising and marketing. The printing cost is $10 per thousand pages for paper and ink.We need to Write a cost function to represent the cost C(x) for printing x thousand pages for a given month. Let's find out:

In printing company , expenses are $1400 in rent, $460 in electricity, $80 for phone service, and $170 for advertising and marketing , Let cost function be C(x) so :

⇒ C(x) = 1400+460+80+170

⇒ C(x) =2110

Also , The printing cost is $10 per thousand pages for paper and ink  , So for x thousand pages we have :

⇒ C(x) =10(x)+2110

Therefore , a cost function to represent the cost C(x) for printing x thousand pages for a given month is  C(x) =10(x)+2110 .

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At a display booth at an amusement park, every visitor gets a gift bag. Some
kotegsom [21]

The bag will often contain all three items every 70 bags ⇒ answer C

Step-by-step explanation:

At a display booth at an amusement park, every visitor gets a gift bag

according to these information:

1. Hat Every 2nd visitor

2. T-shirt Every 7th visitor

3. Backpack Every 10th visitor

We need to know how often a bag will contain all three items

To solve this problem you must find a number divisible by 2, 7, and 10

To find that number start with the multiples of the largest one and

check them with the other two numbers

∵ The largest number is 10

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , .......

- Look for the first multiple of 10 is divisible by 7

∵ 70 is the first multiple of 10 divisible by 7

∵ 70 is divisible by 2 because its even number

∴ 70 is the smallest number divisible by 2, 7 and 10

The bag will often contain all three items every 70 bags

Learn more:

You can learn more about numbers in brainly.com/question/537998

#LearnwithBrainly

4 0
1 year ago
Q3. a cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. what is the cyclist's av
Sladkaya [172]
If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
4 0
2 years ago
High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers
mamaluj [8]

Answer:

The 95% confidence interval the average maximum power is (596.0 to 644.0)

Step-by-step explanation:

Average maximum of the sample = x = 620 HP

Standard Deviation = s = 45 HP

Sample size = n = 16

We have to calculate the 95% confidence interval. The value of Population standard deviation is unknown, and value of sample standard deviation is known. Therefore, we will use one sample t-test to build the confidence interval.

Degrees of freedom = df = n - 1 = 15

Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table = t_{\frac{\alpha}{2}} = 2.131

The formula to calculate the confidence interval is:

(x-t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} }, x+t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} })

We have all the required values. Substituting them in the above expression, we get:

(620-2.131 \times \frac{45}{\sqrt{16} }, 620+2.131 \times \frac{45}{\sqrt{16} })\\\\ =(596.0 , 644.0)

Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)

7 0
2 years ago
Alayna worked 44 hours last week. Her hourly rate is $9.00. Alayna's gross pay for last week was $
Mama L [17]

44 x 9 = $396.00

It's really that easy to find the answer. Hope you have a nice day!

6 0
1 year ago
Read 2 more answers
A bridge is rated to a capacity of 100 British tons. What is the maximum weight the bridge can support in kilograms? (Round to t
S_A_V [24]

Maximum weight the bridge can support in kilograms is 101696

Step-by-step explanation:

  • Step 1: Given capacity of bridge = 100 British tons. Find how many kilograms are equivalent to 1 British ton.

1 British ton = 2240 pounds

1 pound = 0.454 kg

⇒ 1 British ton = 2240 × 0.454 kg = 1016.96 kg

  • Step 2: Find how many kilograms are in 100 British tons.

⇒ 100 × 1016.96 = 101696

3 0
2 years ago
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