Answer:
Step-by-step explanation:
<h3>Hope it is helpful.....</h3>
Answer:
Step-by-step explanation:
all values are solutions
THIS IS THE COMPLETE QUESTION BELOW
The demand equation for a product is p=90000/400+3x where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤ 50.
Answer
$168.27
Step by step Explanation
Given p=90000/400+3x
With the limits of 40 to 50
Then we need the integral in the form below to find the average price
1/(g-d)∫ⁿₐf(x)dx
Where n= 40 and a= 50, then if we substitute p and the limits then we integrate
1/(50-40)∫⁵⁰₄₀(90000/400+3x)
1/10∫⁵⁰₄₀(90000/400+3x)
If we perform some factorization we have
90000/(10)(3)∫3dx/(400+3x)
3000[ln400+3x]₄₀⁵⁰
Then let substitute the upper and lower limits we have
3000[ln400+3(50)]-ln[400+3(40]
30000[ln550-ln520]
3000[6.3099×6.254]
3000[0.056]
=168.27
the average price p on the interval 40 ≤ x ≤ 50 is
=$168.27
The term that best describes the point L is (d) the centroid
<h3>How to determine the point L?</h3>
From the figure, we can see that:
The three lines drawn from point L divide the sides of the triangles into equal segments.
Also, the lines from point L are perpendicular to the sides.
The above description represents the definition of a centroid
Hence, the term that best describes the point L is (d) the centroid
Read more about centroid at:
https://brainly.in/question/4730518
#SPJ1
The volume of a cone is given by the formula
, where <em>r</em> is the radius and <em>h</em> is the height. The horizontal dotted line from the center of the base circle to the outside edge would be the radius, so that would be 12 cm. The vertical dotted line from the center of the base to the point of the cone would be the height, so that would be 8 cm. We substitute these values into our formula:
Substituting 3.14 for pi we have: