The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way.
For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.
For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.
Answer:
NPV = $13,676.33
Step-by-step explanation:
First, find the present value of the cash inflows. You can solve this question using a Financial calculator;
14,000 per year is a recurring cashflow hence the PMT
PMT = 14,000
I/Y = 10%
N= 9
FV =0
then CPT PV = 80,626.33
NPV = -Initial investment + PV of future cash inflows
NPV = -66,950 + 80,626.33
NPV = $13,676.33
"NPV" button, then , then "CPT".
The answer to the NPV = $13,676.33
The 68 - 95 - 99.7 rule, gives the basis to solve this question.
It says that for a normal distribution 95% of the results are between the mean minus 2 standard deviations and the mean plus 2 standard deviations.
Here:
mean = 64.5 inches,
standard deviaton = 2.5 inches
mean - 2 standard deviations = 64.5 inches - 5 inches = 59.5 inches
mean + 2 standard deviations = 64.5 inches + 5 inches = 69.5 inches
Then, the answer is that 95% of women range approximately between 59.5 inches and 69.5 inches.