2015-2000=15 years
P=100,350,000×(1+0.017)^(15)
P=129,220,575.43
Answer:
<em>H</em>₀: <em>μ </em>= 550 vs. <em>Hₐ</em>: <em>μ </em>< 550.
Step-by-step explanation:
A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.
The mean sore for all test‑takers is <em>μ </em>= 550 with a standard deviation of <em>σ</em> = 120.
A random sample of <em>n</em> = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.
The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:
<em>H</em>₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. <em>μ </em>= 550.
<em>Hₐ</em>: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. <em>μ </em>< 550.
4 is a coefficient and X and Y are variables so the -110 is the constant so there for the answer is D
A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
Rearrange the formula given to determine the slope, you will see that in y=mx+b form the slope is -2/3
You now have the slope (m) and two test points. Input those values into y=mx+b and you will have your answer!
I got y=(-2/3)x+(22/3) which I'm quite certain is correct.
