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kykrilka [37]
3 years ago
12

11. A company plans to have coffee mugs produced with the company logo on them. The cost of each

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

Answer:

$5

Step-by-step explanation:

The cost of each mug  depends on the number of mugs that are ordered and is modeled by :

y =0.0001x^2+ 0.1x + 30 ...(1)

We need to find the minimum cost of each mug.

For minimum cost, dy/dx = 0

So,

\dfrac{d(0.0001x^2- 0.1x + 30)}{dx}=0\\\\2x(0.0001)-0.1=0\\\\0.0002x=0.1\\\\x=\dfrac{0.1}{0.0002}\\\\x=500

Put the value of x in equation (1).

y =0.0001(500)^2- 0.1(500) + 30\\\\y=5

So, the minimum cost of each mug is $5.

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Solve the following equation, and check your solution. Be sure to show all work.
Gelneren [198K]
-17 + n/5 = 33
Add 17 to both sides

-17 +n/5 + 17 = 33 + 17
SImplify
n/5 = 50

Multiply 5 to both sides

n/5 * 5 = 50 * 5

n = 250
4 0
3 years ago
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nasty-shy [4]

Answer:

Take a better picture. cant see everything

Step-by-step explanation:

8 0
3 years ago
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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. a 2-co
Ann [662]

The estimated number of lines of code written by computer programmers per hour when x people are working & the correct option is  y = 27x - 4.

Table  showing the estimated number of lines of code written by computer programmers per hour when x people are working & option given   y= 47 * 1.191ˣ     y= 34 * 1.204ˣ    y=26.9x - 1.3    y = 27x - 4

To Choose the model which best represents the data.

<h3>What is choosing the best model data?</h3>

To understand a set of data, it is helpful to organize it and provide summary descriptions of the set.

People Working   lines of code

2                             50

4                             110

6                            160

8                            210

10                           270

12                           320

x      y= 47 * 1.191ˣ    y= 34 * 1.204ˣ    y=26.9x - 1.3   y = 27x - 4

2       66.66               49.3                   52.5                 50

4       94.57               71.44                  106.3                104  

6      134.14                103.57               160.1                 158

8      190.27               150.14                213.9               212

10     269.91              217.64               267.7               266

12     382.85             315.5                  321.5               320.

Below    2              0                         4                        1

on line    0              0                         0                       2  

Above     4               6                         2                       3

Therefore  y = 27x - 4 is the best fit

To learn more about the scatterplot visit:

brainly.com/question/26270713

3 0
1 year ago
A large company increased its sales from last year to this year by 34%.
AlexFokin [52]

Given:

The last year sales = $288,000,000

Company increased its sales from last year to this year by 34%.

To find:

The this year's sales to the nearest million dollars.

Solution:

We have,

The last year sales = $288 million

The company increased its sales from last year to this year by 34%. So,

This year's sales =288+288\times \dfrac{34}{100}

                            =288+97.92

                            =385.92

                            \approx 386

Therefore, this year's sales were 386 million dollars or $386,000,000.

8 0
3 years ago
24x+7=79<br> help? have to get x by itself, right?
andrey2020 [161]
24x + 7=79
subtract 7 from both sides
24x + 7 - 7= 79 - 7
24x= 72
divide both sides by 24
x= 3

CHECK:
24x + 7= 79
24(3) + 7= 79
72 + 7= 79
79= 79

ANSWER: x= 3

Hope this helps! :)
4 0
3 years ago
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