Answer:
(a) 74553
(b) 172120
(c) 234802
Step-by-step explanation:
Given

Solving (a): 1998
Year 1998 means that:


So, we have:




--- approximated
Solving (b): 2003
Year 2003 means that:


So, we have:




--- approximated
Solving (c): 2006
Year 2006 means that:


So, we have:




--- approximated
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is

where, (h,k) is center and r is the radius.


Now, put x=2.




Taking square root on both sides.




So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
Answer:
Quantity = 59 units
Price = $111
Step-by-step explanation:
The Demand function is given by

The Marginal cost is given by

We are asked to find the quantity and price of goods.
Firstly, obtain the Marginal revenue function from the demand function
The Total revenue is given by

The Marginal revenue is the derivative of the Total revenue,

Assuming that the monopolist maximizes profits,

Therefore, the quantity is 59 units.
The price of each good is

Therefore, the price is $111.
Answer:
y-2 = -5x
5x+y = 2 is the required equation of a line.
Since the toss can either be heads or tails and only one of these can land at a time the answer is 13