S(p) = 400 - 4p + 0.00002p^4
D(p) = 2800 - 0.0012p^3
S(p) = D(p)
400 - 4p + 0.00002p^4 = 2800 - 0.0012p^3
0.00002p^4 + 0.0012p^3 - 4p - 2400 = 0
p = $96.24
Answer:
Decreased.
Step-by-step explanation:
Decrease means to go down or take away, therefore in a mathematical equation, it would be represented by a negative integer.
Change could be positive or negative
each is a singular description word
and drastically is just describing how fast.
have a good day!
<h2>
Answer:</h2>
The average speed of car is:
0.75 miles per minutes.
The equation of line is:

<h2>
Step-by-step solution:</h2>
The table that describes the time and number of miles marked is given by:
Time Miles
0 0
4 3
8 6
Clearly we could observe that with the increase in time by every 4 minutes the number of mile increases by 3.
i.e. the average speed is calculated as the ratio of change in miles to the change in time.
Hence,

Hence, the average speed=0.75 miles per minutes.
Also we will find the equation of the lines that related the miles and time by using the two-point formula.
i.e. any line passing through (a,b) and (c,d) is calculated by using the formula:

Here (a,b)=(0,0) and (c,d)=(4,3)
i.e. the equation is given by:
Answer:
<h2>The equation is

.</h2>
Step-by-step explanation:
The equation of a hyperbola is represented by
, where (h, k) is the center of the hyperbola.
As per the given condition, h = -2 and k = 4.
Thus, the equation becomes
.
One vertex is (-2, 7).
Hence, putting x = -2 and y = 7, we get
.
The slope of the asymptote is
.
Hence,
.
Thus, the equation is
.
Answer:
Volume A= one third
Step-by-step explanation:
Use volume B