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TiliK225 [7]
3 years ago
14

Gracie owns a deferred annuity. The contract is tied to a market index, which was at 1000 when Gracie purchased the product and

reached 1250 five years later at the end of the contract's crediting term. The 25 percent index gain is the basis for the amount of interest credited to the contract. What kind of annuity does Gracie own?
Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:

Point to point indexed annuity.

Step-by-step explanation:

An indexed annuity is linked to specific index performance. Point to point indexed annuity is the one which gives interest on the basis of index percentage change. The interest credit is calculated by taking the percentage change between the beginning and end points of the index.

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Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use
Dmitrij [34]

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

  • (h, k) - Coordinates of the center.
  • r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

8 0
1 year ago
The mean of the data is 44.7. What is the mean average deviation? Round to the nearest tenth, if necessary.
Alik [6]

Answer:

the answer is 10.3

Step-by-step explanation:

4 0
3 years ago
I need help with this<br>​
Mashutka [201]

Answer: D

Step-by-step explanation:

<u><em>When a coordinate is reflected over the y-axis, it changes from (x, y) to (-x, y)</em></u>

<em>The three coordinates of ΔCDE are</em>

  • C = (-8, -1)
  • D = (-6, -5)
  • E = (-2, -4)

<em>After the y-axis reflection, they'll become:</em>

  • C' = (-(-8), -1) = (8, -1)
  • D' = (-(-6), -5) = (6, -5)
  • E' = (-(-2), -4) = (2, -4)

<em>I hope this is correct :\</em>

3 0
3 years ago
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