Answer:
$12000 should be invested in a fund with a 4% return.
Step-by-step explanation:
Consider the provided information.
An amount of $15,000 is invested in a fund that has a return of 6%.
We need to calculate how much money is invested in a fund with a 4% return if the total return on both investments is $1380.
Let $x should be invested in a fund with a 4% return.
The above information can be written as:
Hence, $12000 should be invested in a fund with a 4% return.
Linear
Step-by-step explanation:
because a linear changes at a constant rate and an exponential changes by a common ratio
Answer:
the answer to this is 0.15 #4
100% - 20% = 80%
$26.95 * 80% = $21.56
You multiply by 80% because you are taking 20% off and now want to know what 80% of the price will be.
It is fine that you did not include the measure of angle XYZ in your posting.
This question is testing your knowledge of the four types of transformations.
1) Translations - an item is "slid" to a new location.
2) Reflections - an item is "flipped" (usually over the x-axis or y-axis)
3) Rotations - an item is rotated, usually around the origin (the point (0,0) is the center of most rotations, especially in high school math).
4) Dilations - an item is enlarged or reduced by a certain ratio.
It the first three, the image after the transformation is congruent to the pre-image. It has the same size and shape. It is simply flipped, rotated, slid...
But... in the fourth, dilation, the image now has a different size. It is still, however the same shape.
In geometry terms, after the first three transformations, the image is still "congruent" to the pre-image. After dilation, the image is "similar" but not "congruent."
So... all that to say that when you rotate an angle around the origin, the measure of the angle doesn't change.
So the first choice is correct. The measure of the image of the angle is the same as the measure of the angle.
<span>m∠X’Y’Z’ = m∠XYZ
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