Answer: 21
Step-by-step explanation:

Substitute the value of z into the expression:

Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5 (use the slope formula)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
Answer:
x = 5 In.
Step-by-step explanation:
The area of a parellelogram is usually basically the same as that of a rectangle or square. So the equation for the area of this parellogram is 60/12.
That would give you 5 which makes x equal to 5 inches.
To find the percentage, you divide the new price ($39.90) by the original price ($38), and the multiply it by 100 to change the answer from a decimal to a percentage:
39.90 / 38 x 100 = 105
So 39.90 is 105% of 38
To get our final answer, subtract this by 100%
105 - 100 = 5%
ANSWER: So the percentage increase of the price is 5% ($1.90)
Answer:
V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year
Step-by-step explanation:
Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.
i.e. if V stands for volume of oil, then

To find A and k
V(0) = A = 3 million
Hence V = 
V(6) = 1.5
i.e. 

a) Using the above value of k , we have
million per year.