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
The answer is that the rock weighs 5.26 pounds on Earth because Jupiter's magnetic pull is 2.4 times more than Earth's magnetic pull.
Answer:
Step-by-step explanation:
Given
The two-way table
Required
Percentage of men and women whose favorite is Guitar
From the table, we have:
Those who prefer Guitar
So:
So, the percentage of men and women is:
Answer:
Mean: 23. 54545455
Median: 22
Step-by-step explanation:
The median represents the center the most because when you are solving for the median, you look for the direct center of the terms which will be 22, the median.
Answer:
$ 9.68
Step-by-step explanation:
a person who earns $387.20. in 40 earns will earn $9.68 in one hour
