The demand equation illustrates the price of an item and how it relates to the demand of the item.
- The slope of the demand function is -1/2
- The equation of the demand function is:

- The price that maximizes her revenue is: Ghc 85
From the question, we have:


The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

The slope (m) is calculated using:

So, we have:



The equation of the demand is as follows:
The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).
Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).
So, the demand equation is:

Open the brackets to calculate the maximum revenue


Equate to 0

Differentiate with respect to x

Collect like terms

Divide by 100

So, the price at maximum revenue is:



In conclusion:
- The slope of the demand function is -1/2
- The equation of the demand function is:

- The price that maximizes her revenue is: Ghc 85
Read more about demand equations at:
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<span>7745.96669241 is the square root...hope it helps :)</span>
-18 + x = -11
Let's add 18 to both sides
x = 7
Answer:
Check bolded below
Step-by-step explanation:
1)radius = 10 in (given), diameter = 2*radius = 2(10 in) = 20 in
formula for circumference => 2πr => 2π(10)
circumference = 20π in
2)diameter = 12 ft (given), radius = 1/2*diameter = 1/2(12 ft) = 6 ft
formula for circumference => 2πr => 2π(6)
circumference = 12π ft
3)radius = 3 m (given), diameter = 2*radius = 2(3 m) = 6 m
formula for circumference => 2πr => 2π(3)
circumference = 6π m
4)diameter = 18 cm (given), radius = 1/2*diameter = 1/2(18 cm) = 9 cm
formula for circumference => 2πr => 2π(9)
circumference = 18π cm
Answer:

Step-by-step explanation:
Let that number be
. We can build an equation, and solve for
.
less than half of
is
.
more than
is
.
We are given that the two quantities are equal, so we have that
.
Adding
to both sides gives
.
Multiplying both sides by
gives
.
Subtracting
from both sides gives
.
Multiplying both sides by
gives
.
So, the number is
and we're done!
The check is left as an exercise to the reader.