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loris [4]
2 years ago
10

The stock market in 2008 has gone through drastic changes. On December 3rd, 2008 the Dow Jones Industrial Average (DJIA) closed

the day at 8,591.69 points. On December 4th of the same year, the DJIA decreased by 2.51% of its December 3rd closing. On December 5th of the same year, the DJIA increased by 3.09% of its December 4th closing. Determine what the DJIA closed at on December 5th. Round your answer to the nearest point.
a.
8,631.78 points
c.
8,634.86 points
b.
8,750.35 points
d.
9,079.49 points
Mathematics
1 answer:
tigry1 [53]2 years ago
3 0

Answer:

C, 8,634.86

Step-by-step explanation:

Starting with 8,591.69

2.51% of 8,591.69 is 215.651419

subtract that from 8,591.69 and you get 8376.038581

3.09% of 8376.038581 is 258.819592153

258.819592153+8376.038581=8634.85817315

8,634.86 is your final answer

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(-10,8)

Step-by-step explanation:

So our original point is (-6,9).

A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.

A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.

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3 years ago
Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below.
GaryK [48]

Answer:

Radius length: √5

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Step-by-step explanation:

First we will determine the radius;

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Point on Circumference: (-2, 1)

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Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

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Answer:

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