Answer:
a) -15 unites per dollar
b) -12 units per dollar
c) -18 units per dollar
Step-by-step explanation:
We are given the following in the question:
where N(p) is the number of boxes of nails at p dollars per box.
a) average rate of change of demand for a change in price from $2 to $3.
Average rate of change =
b) instantaneous rate of change of demand when the price is $2
Instantaneous rate =
The instantaneous rate of change of demand when the price is $2 is decreasing at 12 units per dollar.
c) instantaneous rate of change of demand when the price is $3
Instantaneous rate =
The instantaneous rate of change of demand when the price is $3 is decreasing at 18 units per dollar.
Let x be the length of one side of the smaller square
Let y be the length of one side of the larger square
4x would be the perimeter of the smaller square, as it has 4 sides
Therefore 4x = y + 10, as the perimeter of the smaller square is 10 inches bigger than one side of the larger square.
We're going to solve this question using simultaneous equations. This means we need another equation to compare the first one to.
Since we know that one side of the larger square is 2 inches bigger than the first one, we can make the equation
y = x + 2
Know that we know the value of y in terms of x, we can introduce this value to the original equation to find:
4x = (x + 2) + 10
Therefore:
4x = x + 12
3x = 12
x = 4
Now that we know the size of the sides on the smaller square, we can figure out the size of the larger square by using our second equation (y = x + 2)
y = 4 + 2
y = 6
Therefore, the length of each side of the larger square is<u> B.6</u>
Pure gold is 24 Karat's so the ratio of purity 18 karat gold is:
(Number of Karats of Gold chain)/(Number of Karats of pure Gold)
this will give us:
18/24
=3/4
The weight of pure gold in 18 Karat Gold will be:
(ratio of purity)×(Total weight of chain)
=3/4×18
=13 1/2 ounces
=13.5 ounces.
9514 1404 393
Answer:
51
Step-by-step explanation:
Let s represent the number of seats in a row. Then the number of rows is (s-9) and the total number of seats is ...
s(s-9) = 2142
s² -9s +4.5² = 2142 +4.5² . . . . . complete the square
(s -4.5) = √2162.25 . . . . . . . . take the positive square root
s = 4.5 +46.5 = 51 . . . . . . . add 4.5
The number of seats in each row is 51.
