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Anika [276]
3 years ago
10

An investment of $6,530 earns interest at the rate of 4% and is compounded quarterly. What is the accumulated value of the inves

tment at the end of 8 years?
Mathematics
1 answer:
il63 [147K]3 years ago
5 0

Answer:

$8,978.36

Step-by-step explanation:

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The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>

By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:

(x - h)² / a² + (y - k)² / b² = 1, where a > b     (1)

Where:

  • a - Length of the major semiaxis.
  • b - Length of the minor semiaxis.

Now, we proceed to find the vertex and the lengths of the semiaxes:

a = 10 units.

b = 8 units.

Vertex

V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)

V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)

V(x, y) = (1.5, 1) + (- 4.5, 1)

V(x, y) = (- 3, 2)

The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

To learn more on ellipses: brainly.com/question/14281133

#SPJ1

8 0
2 years ago
The quotient of a number and 3 is 8
ahrayia [7]

Answer:

number = 24

Step-by-step explanation:

3 x 8 = 24

24 / 3 = 8

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What happens if you fail just one elective in 7th grade?
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Answer: Honestly middle school grades, especially electives don't matter much. don't worry about it.

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Read 2 more answers
vDetermine if a Poisson experiment is described, and select the best answer: Suppose we knew that the average number of typos in
goldenfox [79]

Answer:

probability that a randomly selected page that contains only text will contain no typos that is

P(x=0) = e^{-0.08} = 0.923

Step-by-step explanation:

<u>Poisson distribution</u>:-

Explanation of the Poisson distribution :-

The Poisson distribution can be derived as a limiting case of the binomial

distribution under the conditions that

i) p is very small

ii) n is very large

ii) λ = np (say finite

The probability of 'r' successes = \frac{e^{-\alpha }\alpha^r  }{r!}

Given the average number of typos ∝ = 0.08 per page.

probability that a randomly selected page that contains only text will contain no typos that is = p(x=0) = \frac{e^{-0.08 }\(-0.08)^0  }{0!}

After calculation P(x=0) = e^{-0.08} = 0.923

probability that a randomly selected page that contains only text will contain no typos =0.923

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3 years ago
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