Answer:
Fred would take 33 days to save $ 70.95.
Step-by-step explanation:
The number of days (
) is directly proportional to the quantity of money saved (
), in monetary units, then we can calculate the time taken to save $ 70.95 by simple rule of three:


Fred would take 33 days to save $ 70.95.
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:
brainly.com/question/21586143
Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let
. then we have that
. Hence, it makes sense to define the positive number delta as
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that
, and if we prove this, we are done. To prove it, let
, then
. First,
then
hence
On the other hand,
then
hence
. Combining the inequalities, we have that
, therefore
as required.
Answer:
33
Step-by-step explanation:
3q + 3j
if q= 7 and j = 4
3(7) + 3(4) = 21 + 12 = 33
Answer:
y + 1 = 3(x + 8)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 8, - 1) , thus
y - (- 1) = 3(x - (- 8)), that is
y + 1 = 3(x + 8)