john bought a used truck for 4,500. he made an agreement with the dealer to put 1,500 down and make payments of 350 for the next 10 months the extra cost paid by taking this deal is equivalent to what actual yearly rate of interest
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Then, you add the initial $1500,
which means he now has $5000
The difference between $5000 and $4500 is $500,
And $500 is 9% of $4500,
So the deal is equivalent to a yearly interest of 9%
Hope this helps ! :)
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cross multiplying
8a=32
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Final answer:
The ordered triple (2, -5, 4) is located in the same octant as the ordered triple (3, -4, 7) as they both share a positive, negative, positive pattern in their coordinates, indicating that they are both situated in the second octant of the Cartesian coordinate system.
Explanation:
The question requires the identification of the octant in which the ordered triple (3, -4, 7) is located and then determining which other given ordered triple shares the same octant. In the Cartesian coordinate system, an octant is each of the eight divisions of a three-dimensional coordinate system. By looking at each coordinate of the ordered triple (3, -4, 7), we can see that the first value is positive, the second is negative, and the third is positive. This primes us to the second octant. Going through the list of ordered triples, we find that (2, -5, 4) shares this same signage pattern: first coordinate positive, second negative, and third positive. Such alignment implies that (2, -5, 4) is also in the second octant. Therefore, the ordered triple that is in the same octant as (3, -4, 7) is (2, -5, 4).
Learn more about Cartesian Coordinate System here:
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The diagonal section of a cube is a rectangle with sides a and x, where a is the edge of the cube, and x is a diagonal of a side of the cube. Therefore, the area of a diagonal section (A) is:
A = a * x
Now, a = ? and x = ?, but we know that the side of the cube is square and its diagonal is x = a√2.
So, we have:
A = 36√2
a = ?
x = a√2
Let's substitute all parameters in the formula for the area:
A = a * x
36√2 = a * a√2
Divide both sides by √2:
36 = a * a
36 = a²
⇒ a =√36 = 6
The diagonal of the cube can be calculated by using the formula: d = a√3
Since a = 6, then:d = 6√3
Therefore, the edge of the cube is 6 and the diagonal of the cube is 6√3.
b. 1/6
c. 2/3
d. 1/2
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Answers
y = 2/3x +c Substitute the slope (m) in
5 = 2/3(-2) +c Substitute the point (-2,5)
5 = -4/3 +c Make C the subject
c = 19/3
y = 2/3x + 19/3 This is the equation of the line.
Next you start subbing the points A and B in separately, using the same equation.
Subbing A(x, 3)
3 = 2/3x + 19/3 Make x the subject to find it.
-10/3 = 2/3x
-5 = x
The point A is (-5,3)
Subbing B(-2, y)
y = 2/3(-2) + 19/3 y is already the subject and you just solve it
= -4/3 + 19/3
y = 5
The point B is (-2, 5)
I hope this helped you, I have also attached a photo of the written work! I'm also sorry if the answer isn't correct... >-<
Answer:
(x) = -5 (y) = 5