Given
The demand function
To determine:
a) The revenue function.
b) The marginal revenue.
c) The marginal revenue when x=200.
d) The equation of tangent, and its derivation.
Explanation:
It is given that,
a) The revenue function is given by,
b) The marginal revenue function is,
c) The marginal revenue when x=200 is,
Hence, the marginal revenue is 3.84.
d) Let y=mx+c is the tangent.
Then,
That implies, for y=12.68, and x=200,
Hence, the equation of tangent is,
Consider the point where the hexagons meet the positive half of the y axis.
The inner hexagon meets the axis at 
, whereas the outer hexagon meets the axis at 
So, we're looking for a dilation constant 
such that
So, solving by k we have
we know that
The unit rate is $0.65 per foot
so
To find out the cost, multiply the unit rate by the length of the rope
so
0.65*(10.8)=$7.02
therefore
<h2>The cost is $7.02</h2>
Answer:
Step-by-step explanation:
hello :
r+b=7... (*)
3.75r+2.75b=22.25.... (**)
use (*) : r = 7 - b
put this value in (**) :
3.75(7 - b)+2.75b = 22.25
26.25 -375b +2.75b = 22.5
-375b +2.75b = 22.5 - 26.25
- b = -3.75
so : b = 3.75
but : r = 7 - b
r = 7 - 3.75
r = 3.25
<span>Amount
of Rice (cups) Amount of Water (cups)
2 5
3 7.5
5 12.5
8 20
Let's find the ratio of rice and water:
5 / 2 = 2.5 => 2 * 5 = 5
7.5 / 3 = 2.5 => 3 * 2.5 = 7
12.5 / 5 = 2.5 => 5 * 2.5 = 12.5
20 / 8 = 2.5 => 8 * 2.5 = 20
So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.
So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).
The amount of rice is
the dependent value. FALSE
The amount of water is the dependent value.TRUE
The
amount of rice is the independent value. TRUE
The amount of water is the
independent value.</span>FALSE
