1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TEA [102]
11 months ago
10

a rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material

for the base costs $20 per square meter. material for the sides costs $12 per square meter. find the cost (in dollars) of materials for the least expensive such container. (round your answer to the nearest cent.)
Mathematics
1 answer:
victus00 [196]11 months ago
8 0

245.31 (dollars) is the cost (in dollars) of materials for the least expensive such container.

<h3>What is maxima and minima ? </h3>

Calculus maxima and minima are found  using the concept of derivatives. Knowing that the derivative concept gives information about the slope/slope of a function, we find the point where the slope is zero. These points are called inflection points/stationary points. These are the points associated with the maximum or minimum (local) values ​​of the function.

Knowledge of maxima and minima is essential for our everyday problems. In addition, this article also explains how to find the absolute maximum and minimum values.

Solvable maximum and minimum arithmetic problems  are discussed in this article.

<h3>Calculation</h3>

Suppose the width is x (m), length of the base is 2x (m), the base area is 2x^2 (m^2).

Since the volume is 10 (m^3), the height has to be 10/2x^2 (m) = 5/x^2.

The cost of making such container is

cost of base: 2x^2*15 = 30x^2

cost of sides: (2*2x*5/x^2 + 2*x*5/x^2)*9 = 270/x

The overall cost is hence the sum of the base and the sides: f(x) = 30x^2 + 270/x

The get the minimum,

df(x)/dx = 30*(2x - 9/x^2) = 0

so x = (9/2)^(1/3) = 1.651 (m)

f(x) = 245.31 (dollars)

learn more about maxima and minima here :

brainly.com/question/17467131

#SPJ4

You might be interested in
Progress:
JulsSmile [24]

Answer:

Option (1)

Step-by-step explanation:

Given inequality is.

4x + 5 ≥ 13

We will further solve this inequality,

(4x + 5) - 5 ≥ 13 - 5

4x ≥ 8

\frac{4x}{4}\geq \frac{8}{4}

x ≥ 2

Therefore, on a number line solution of x will be all values of x greater than equal to 2.

Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.

Option (1) will be the answer.

4 0
2 years ago
How many times dose 25 go into 150
alexandr1967 [171]
The answer is 6.
4 quarters is 1 dollar right?
and if you add 2 more, it will be $1.50
This is the easiest way to memorize how to multiply using the number 25.
8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%28v%2B6%29%5E%7B2%7D%3D2v%5E%7B2%7D%2B14v%2B12" id="TexFormula1" title="(v+6)^{2}=2v^{2}+14v+
timofeeve [1]

Answer:

v=-6 or 4

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally. Carmine is in both grou
Lynna [10]
12 for 8 that is 1.5 per person
15 for 6 that is 2.5 per person

She would get 4 muffins

Hope this helps

8 0
3 years ago
Is 0/0x7y³ a positive or negative number
charle [14.2K]

Answer:

A =  0/(0 x 7y³)

Let's see the denominator:  0 x 7y³ = 0

=> Whenever the denominator is 0, A is undefined, neither a positive number or negative number

Hope this helps!

:)

3 0
3 years ago
Other questions:
  • What is the slope of a line that is perpendicular to the line whose equation is 5y+2x=12?
    10·1 answer
  • A map uses a scale of 1 in. : 25 mi. If the distance between two cities on the map is 3.5 inches, what is the actual distance be
    15·1 answer
  • What us the length of the altitude of the equilateral triangle below
    9·1 answer
  • I need help asap can anybody help me
    14·2 answers
  • How many trees can be saved if 3tons of paper is recycled
    7·2 answers
  • Find the solution to the system of equations given below:<br> x=-4<br> -5x-4y=16<br><br> PLS HELP
    6·1 answer
  • Last question. 50 points!​
    14·2 answers
  • What is the equation for the line that passes through the point (3,7) and has a slope of 2?
    7·1 answer
  • 22. A garage sale raise $400 for a school trip. Ir 15% of the money covered point
    15·1 answer
  • Sam is thinking of retiring from his job after many years of faithful service. during the last 35 years at his job, his annual s
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!