For an investment compounded continuously, the rule of 69 gives a better approximation than the rule of 72 (for normal compound interests).
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Equations are generally in the form of:
y = mx + c
where m is the gradient and c is the y intercept
As you can see, in this equation, the y intercept is 5
Thus, your answer is C. 5
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EFGH is a dilation and rotation of ABCD.
The shortest side of the smaller figure corresponds to the shortest side of the largest one, the largest sides correspond, etc.
AB -> EF
BC-> FG
CD->GH
DA->HE
Corresponding angles are congruent in dilations.
Angle A = angle E
Angle B= angle F
Angle C = angle G
Angle D = angle H
Explanation:
EFGH is a dilation and rotation of ABCD. If you take one of the figures, rotate it 180 degrees, and lay it on top of the other figure, the corresponding sides and angles will line up.
If you “unfold” the wrapping paper around this triangular prism, you have
2 triangles
Base 40, to find the height(dotted perpendicular line segment)
a^2 + b^2 = c^2. ... 20^2+ b^2 = 29^2 … 400+ b^2 = 841
- 400. -400
b^2 = 441 … b=21 this is height
1/2(40)(21) = 420 + 420
3 rectangles
Two are 70x29 = 2030 +2030
One is 70x40 = 2800
Add all 5 numbers:
420
420
2030
2030
+ 2800
7700
