Garrett has deposited 519 in a savings account that earns interest at a rate of 4.2% compounded daily. What will the account bal
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Answer:
4.3
Step-by-step explanation:
Apply trigonometric ratios to find the answer.
Firstly, we need to find the measure of angle theta. In order to do this, we will use triangle BAD.
From angle theta, the trigonometric ratio sine can be used:
sinθ =
After we find the value, we take the inverse sine of it and the result is approximately 50.7 degrees.
Now, knowing that angles BAD and CAD are the same, we can solve for CD using trigonometric ratio sine.
sin50.7 = opposite/hypotenuse
sin50.7 = CD/5.5
sin50.7 * 5.5 = CD
4.3 ≈ CD
General Idea:
When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)
Applying the concept:
In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)
We know &
Substituting 6 for x in the equation , we get
.
Dividing 6 on both sides
Simplifying fractions on both sides
Point A from the diagram is (-3, 3)
x-coordinate of A' =
y-coordinate of A' =
Point A' is given by (-3.6, 3.6)
Conclusion:
<u>Scale factor of dilation is 1.2</u>
<u>The coordinates of point A' is (-3.6, 3.6)</u>