It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.
In Economics, the relationship between price and demand is stated as follows <em>"If all other factors remain equal, the higher the price of a good, the </em><em>fewer</em><em> people will </em><em>demand</em><em> that </em><em>good</em><em>. In other words, the </em><em>higher</em><em> the price, the </em><em>lower</em><em> the </em><em>quantity</em><em> demanded and vice versa."</em>
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In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.
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First of all, let's recall the area of a triangle, knowing its base (b) and height (h):
![A = \cfrac{bh}{2}](https://tex.z-dn.net/?f=%20A%20%3D%20%5Ccfrac%7Bbh%7D%7B2%7D%20)
The exercise is showing you that, if you inscribe a polynomial with more and more side, the area of the polynomial will approximate the area of the circle better and better (you can see youself that the polygon is "filling" the circle more and more as the number of sides increase).
Now, the second column tells you the area of each of the triangles the polygon is split into. So, we can see that the first polygon is split into 3 triangles, each of them having base 1.73 and height 0.5.
So, the area of each triangle is
![A = \cfrac{1.73 \cdot 0.5}{2} = 0.4325](https://tex.z-dn.net/?f=%20A%20%3D%20%5Ccfrac%7B1.73%20%5Ccdot%200.5%7D%7B2%7D%20%3D%200.4325%20)
There are three of these triangles, so the area of the whole polygon is
![A = 0.4325 \cdot 3 = 1.2975](https://tex.z-dn.net/?f=%20A%20%3D%200.4325%20%5Ccdot%203%20%3D%201.2975%20)
In the second case, you have six triangles, each with base 1 and height 0.87. So, the whole area is
![A = 6 \cdot \cfrac{1\cdot 0.87}{2} = 0.87 \cdot 3 = 2.61](https://tex.z-dn.net/?f=%20A%20%3D%206%20%5Ccdot%20%5Ccfrac%7B1%5Ccdot%200.87%7D%7B2%7D%20%3D%200.87%20%5Ccdot%203%20%3D%202.61%20)
Finally, in the last case you have 8 triangles, each with base 0.77 and height 0.92. So, the whole area is
![A = 8 \cdot \cfrac{0.77\cdot 0.92}{2} = 0.77\cdot 0.92 \cdot 4 = 2.8336](https://tex.z-dn.net/?f=%20A%20%3D%208%20%5Ccdot%20%5Ccfrac%7B0.77%5Ccdot%200.92%7D%7B2%7D%20%3D%200.77%5Ccdot%200.92%20%5Ccdot%204%20%3D%202.8336%20)
Answer:
The slope of line q is
.
Step-by-step explanation:
We know that line p has a slope of
, and that line p and line q are parallel. Parallel lines always have the same slope. Thus, the slope of line q must be
as well.
I = p * r * n
i is the interest
p is the principal
r is the interest rate per time period
n is the number of time periods.
in your problem:
i = 900
p = 2000
r = what you want to find
n = 3 years
formula becomes 900 = 2000 * r * 3
solve for r to get r = 900 / 2000 / 3 = .15
that's .15 interest rate per year = 15% per year.
at a nominal interest rate of .15 per year, the interest rate per month would be .15/12 = .0125 per month.
the remaining balance at the end of 6 month is equal to 1907.140183