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Anton [14]
2 years ago
15

Assume that the situation can be expressed as a linear cost function. Find the cost function.Fixed cost is $100; 30 items cost $

1000 to produce.The linear cost function is C(x)=___
Mathematics
1 answer:
k0ka [10]2 years ago
3 0

Given that C(x) is a linear function, it can be expressed as:

C(x)=a+bx,

where a, and b are constants.

Now, we are given that there is a fixed cost of 100, therefore, a=100. Now, we know that

C(30)=1000.

Therefore:

1000=100+b(30).

Solving the above equation for b, we get:

\begin{gathered} 1000-100=30b, \\ 900=30b, \\ b=\frac{900}{30}, \\ b=30. \end{gathered}<h2>Answer: </h2>C(x)=100+30x.

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18 point help!!!
algol [13]

Given:

The shape is a circle

Radius = 14 cm

To find:

The area and perimeter of the circle

Solution:

The value of π = 3.14

Area of the circle = πr²

                             = 3.14 × 14²

                             = 615.44 cm²

The area of the circle is 615.44 cm².

Perimeter of the circle = 2πr

                                     = 2 × 3.14 × 14

                                     = 87.92 cm

The perimeter of the circle is 87.92 cm.

8 0
3 years ago
What is the value of sec 0 given in the diagram
algol [13]

Answer:

1

Step-by-step explanation:

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The exact value of sec(0) is 1 .

5 0
3 years ago
$0.2963 rounded to the nearest cent
kotykmax [81]

Answer:

0.2963 = about 0.3 cents

8 0
4 years ago
Read 2 more answers
The location of four buildings on a coordinate grid are as follows:
Gre4nikov [31]

Answer:

3400 feet

Step-by-step explanation:

Distance between building 1 and building 2 = |5+3| = 8

Distance between building 2 and building 3 = |4+5| = 9

Distance between building 3 and building 4 = |-3-5| = 8

Distance between building 4 and building 1 = |4+5| = 9

total distance = 8 x 2 + 9 x 2 = 34

total distance in feet =  34 x 100 = 3400 feet

3 0
3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point. Hurry Please!
mario62 [17]

Answer:

y = 5x + 17    (Answer B)

Step-by-step explanation:

We are given in point slope form the equation of a line:  y - 3 = (-1/5)(x + 2).  Directly from this equation we can find the slope:  -1/5.

The slope of any line perpendicular to the given line is the negative reciprocal of the slope of the given line:  Here it is +5.

Using the slope-intercept formula y = mx + b, we replace y with 7, x with -2 and m with 5, obtaining:

7 = 5(-2) + b, which simplifies to 7 = -10 + b.  Thus, b = 17.

The desired equation is thus     y = 5x + 17    (Answer B)

3 0
2 years ago
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