D. 10hr. 20 min. :)
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An equation to solve for the time when the high school will have exactly 100 students is (1-.06)^x = (250/100).
That simplifies to 94^x = .4.
We can then take the log of both sides to isolate the x variable from the exponent. Here's with natural log.
x*ln(.94)=ln(.4)
x = ln(.4)/ln(.94)
Solving this gives x ~= 14.80. So in about 15 years, the high school will have 100 students.
Answer:
B. (-2, 15)
Step-by-step explanation:
Pretend that your fixed point [2, 9] is at the origin for now by translating it two units <em>west</em><em> </em>then nine units <em>south</em><em> </em>[0, 0]. Now, the same goes for [6, 3]. Translate it two units <em>west</em> then nine units <em>south</em><em> </em>to get [4, -6]. Then, according to the <em>180°-rotation rule</em>, you take the OPPOSITE of both the x-coordinate and y-coordinate:
[4, -6] → [-4, 6]
Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks <em>north</em><em> </em>then 2 blocks <em>east</em>:
→ [0, 0] back to [2, 9]
Translation
→ [-4, 6] to the new coordinate of [-2, 15]
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