Answer:
(a) - 25 boxes per dollar
(b) - 20 boxes per dollar
Step-by-step explanation:
Given that,
Consumer's willing to buy boxes of nails at p dollars per box:
N(p) = 80 - 5p^{2}
(a) Change in price from $2 to $3.
N(2) = 80 - 5(2)^{2}
= 80 - 20
= 60
N(3) = 80 - 5(3)^{2}
= 80 - 45
= 35
Therefore, the average rate of change of demand is
= [N(3) - N(2)] ÷ (3 - 2)
= 35 - 60
= - 25 boxes per dollar.
(b) N(p) = 80 - 5p^{2}
Now, differentiating the above function with respect to p,
N'(p) = -10p
Therefore, the instantaneous rate of change of demand when the price is $2 is calculated as follows:
N'(p) = -10p
N'(2) = -10 × 2
= -20 boxes per dollar
C maybe but is that all the information given?
The apothem of a polygon, in this case a, can be found using the formula
Apothem=circumradius*cos(pi/sides)
Note in this problem, its a hexagon which makes the circumradius = to the side length since a regular hexagon can be split into 6 equilateral triangles.
a=47*cos(pi/6)=40.7 (approximation)
Hope it helped!
Answer:
<h2> Answer: -13\2 </h2>
Step-by-step explanation:
-16.51
---------
2.54
-16.51
--------
2.54
1651
------
254
-13
-----
2
Answer: -13
----
2
Answer:
use desmos online. Just plug in equations and the graphs should pop up.