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nika2105 [10]
2 years ago
7

Nora is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pa

ys a cost per phone produced for materials and labor. The labor and materials cost $150 for each phone manufactured, and the total cost of producing 8 phones in a day would be $2200. Write an equation for C, in terms of p, representing total cost, in dollars, of producing p phones in a given day.
Mathematics
1 answer:
vaieri [72.5K]2 years ago
5 0

9514 1404 393

Answer:

  c = 150p + 1000

Step-by-step explanation:

We know the variable cost is 150 per phone, so the total cost will be ...

  c = 150p +b . . . . for some value b

We also know the value of c for 8 phones, so we can find b:

  2200 = 150(8) + b

  2200 -1200 = b = 1000

Then the desired equation is ...

  c = 150p + 1000

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3 0
2 years ago
calculates the sum of the first 8 terms of an arithmetic progression starting with 3/5 and ending with 1/4
N76 [4]

We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20

Then the sum of the first 8 terms is given by:

3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5

So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

If you want to learn more about arithmetic sequences:

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6 0
1 year ago
8(-b-4)<br> Simpif the expression
nadezda [96]

Answer:

-8b - 32

Step-by-step explanation:

Distribute the 8 to each term in the parentheses:

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Add these two terms together:

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7 0
2 years ago
Read 2 more answers
N Squared - N = 90<br> N =?
mariarad [96]
N^2 - n = 90
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n - 10 = 0
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3 0
2 years ago
A rectengular school gym has a length of 120 feet and a perimeter of 520 feet.What is the width,in feet,of theschool gym
labwork [276]

Answer: 140 ft

Step-by-step explanation:

120+120=240

520-240= 280

280/2= 140

3 0
3 years ago
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