700 x .03 x 20 = 420
420 + 700
1120 is in the account after 20 years
Answer:
30 goes in the blank.
Step-by-step explanation:
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The rate of change is the slope...and in y = mx + b form, the slope is in the m position. So we need to put the equations in y = mx + b form.
A. 6x - 7y = 21
-7y = -6x + 21
y = 6/7x - 2....so the slope here is 6/7 or 0.857
B. y = 2x - 2....this is already in the form we need...the slope is 2
C. (2,7)(3,13)
slope = (13-7) /(3-2) = 6/1 or just 6
the slope with the greatest rate of change is gonna be the one with the highest slope......and that would be C.
Read the problem and answer choices. You want to get from ABCD to EFGH, so you need to figure out how to do that with reflection, translation, and dilation—in that order.
The reflection part is fairly easy. ABC is a bottom-to-top order, and EFG is a top-to-bottom order, so the reflection is one that changes top to bottom. It must be reflection across a horizontal line. The only horizontal line offered in the answer choices is the x-axis. Selection B is indicated right away.
The dimensions of EFGH are 3 times those of ABCD, so the dilation scale factor is 3. This means that prior to dilation, the point H (for example), now at (-12, -3) would have been at (-4, -1), a factor of 3 closer to the origin. H corresponds to D in the original figure, which would be located at (0, -2) after reflection across the x-axis.
So, the translation from (0, -2) to (-4, -1) is 4 units left (0 to -4) and 1 unit up (-2 to -1).
The appropriate choice and fill-in would be ...
... <em>B. Reflection across the x-axis, translation </em><em>4</em><em> units left and </em><em>1</em><em> unit up, dilation with center (0, 0) and scale factor </em><em>3</em><em>.</em>
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You can check to see that these transformations also map the other points appropriately. They do.
Answer:
G.(x, y) → (x+5, y+3)
Step-by-step explanation:
The rule would be (x+5, y+3) and the only one with that rule is G.
