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Oksanka [162]
2 years 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]2 years 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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A triangle is such that the largest angle is 7 times the smallest angle. The third angle is 15 less than the largest angle. Find
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Answer:

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°, therefore we have:

Smallest angle = x

Largest angle = 7x

Third angle = 7x - 15

Now, we can solve for x, using the following equation:

x + 7x + 7x - 15 = 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

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2 years ago
Suppose that a disk drive has 5,000 cylinders, numbered 0 to 4,999. the drive is currently serving a request at cylinder 2,150,
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Answer:

13011, 7586, 7492 , 7424, 9917, and 9137.

Step-by-step explanation:

(1). FCFS is generally based on what is refer to as first come, first serve. That is to say the first one to come will be treated first so, we have that;

FCFS = 81 + 857 + 1084 + 504 + 2256 + 1074 + 1262 + 1167 + 3442 + 1284 = 13011.

(2). (SSTF) Is all about the shortest distance, for example in this question the shortest distance is =

Thus;

Total distance = (2150 - 2069) + (2296 - 2069) + ( 2296 - 2800) +( 3681 - 2800) + (4965 - 3681) + ( 4965 - 1618) + ( 1618-1523) + ( 1523-1212) + ( 1212-544) + ( 544 - 356).

=81 + 227 + 504 + 881 + 1284 + 3347 + 95 + 311 + 668 + 188 = 7586.

(3).SCAN deals with the processing of the nearest request

The distance =146 + 504 +881 + 1284 + 34(4999-4965) + 2930(4999-2069) + 451 + 95 + 311 + 668 +188 = 7492.

(4). LOOK is just like scan.

The distance = 146 + 504 + 881 + 1284 + 2896 + 451 + 95 + 311 + 668 + 188 = 7424.

(5). C-SCAN: this is the kind of scan from one end to the other.

The distance = 146 + 504 +881 +1284 + 34 (4999 - 4965) + 4999 (4999 -0 )+ 356 (356 -0 )+ 188 + 668 + 311 + 95 + 451 = 9917.

(6). C-LOOK : moves in the following order: 2150, 2296, 2800, 3681, 4965, here head moves back 356, 544, 1212, 1523, 1618, 2069.

Thus;

The distance = 146 + 504 + 881+ 1284 + 4609 (4965 - 356) + 188 + 668 + 311+ 95 + 451 = 9137.

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Answer:

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since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:

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