Graph is attached.
Based on the graph (with height on the independent axis and weight on the dependent), there is a negative correlation between height and weight; as the height increases, the weight decreases.
If we were to graph this with weight on the independent axis and height on the dependent, there would still be a negative correlation.
Answer:
Addition property
Step-by-step explanation:
Given the inequality:
5x - 9 < 91
The step to take here to move 9 to the other side, is to perform the addition property by adding 9 to both sides.
Thus,
5x - 9 + 9 < 91 + 9
5x < 100
The final step is to perform the division property by dividing both sides by 5, in order to solve for x.
5x/5 < 100/5
x < 20.
Answer:D
Step-by-step explanation:
Translation right 3 units
Well, basically what they are trying to do is isolate the y variable on the left side of the equation in order to get it in slope-intercept form (y=mx+b where "m" equals the slope and "b" is the y-intercept). So, in order to do this they have to do the inverse operations (so if it's adding they subtract, and if it's multiplying they divide.) Anyways, they do this with the intention of getting only the variable "y" on the left side of the equal sign. Once they did all that they got it in slope intercept form, and they know that the coefficient in front of the variable x is the slope.
Answer:
Yolanda will have a balance of $34,043.10 in 14 years.
Step-by-step explanation:
This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.
To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = ![\frac{PMT}{r}[1-(1+r)^{-t} ]\\](https://tex.z-dn.net/?f=%5Cfrac%7BPMT%7D%7Br%7D%5B1-%281%2Br%29%5E%7B-t%7D%20%5D%5C%5C)
PMT= recurring payment = $300
r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.
t = total duration ; 14 *12 = 168 months
Next, plug in the numbers into the FVA formula;
FVA = ![\frac{300}{0.005} [ 1-(1+0.005)^{-168} ]](https://tex.z-dn.net/?f=%5Cfrac%7B300%7D%7B0.005%7D%20%5B%201-%281%2B0.005%29%5E%7B-168%7D%20%5D)
FVA = 60,000 * 0.5673849
FVA = 34,043.0969
Therefore, Yolanda will have a balance of $34,043.10 in 14 years
