Answer:
median = 2.8 m
Step-by-step explanation:
the median is the middle value of the data set in ascending order.
If there is no exact middle value then it is the average of the values either side of the middle.
the stem- leaf diagram shows the data in ascending order from 1.6 to 4.5
there are 10 data values so no exact middle value.
the median lies between 2.7 and 2.9
median = (2.7 + 2.9) ÷ 2 = 5.6 ÷ 2 = 2.8 m
The <em>money</em> account is doubled at an<em> interest</em> rate of 5.2 % compunded quarterly, that is, under the model of <em>compound</em> interest in a time period of about 3.5 years.
<h3>How to determine the doubling time of money account</h3>
The <em>compound</em> interest takes into account the change of money deposited in time in contrast with the <em>simple</em> interest, which only takes the initial amount of money into account. Please notice that four quarters equals a year.
The <em>compound interest</em> formula is described below:
<em>C = C' · (1 + r/100)ⁿ</em> (1)
Where:
- r - Interest rate
- n - Number of periods
- C' - Initial money amount
- C - Current money amount
If we know that C = 2 · C' and r = 5.2, then the doubling time is:
n = /㏒ C/C'/㏒ (1 + r/100)
n = ㏒ 2/㏒ 1.052
n ≈ 13.674
The <em>money</em> account is doubled at an<em> interest</em> rate of 5.2 % compunded quarterly, that is, under the model of <em>compound</em> interest in a time period of about 3.5 years. 
To learn more on compound interests, we kindly invite to check this verified question: brainly.com/question/14295570
A) <span>Understanding the terms of a contract is important because a person must be certain of the obligations towards the other party, and must also be aware of penalties incurred if those obligations are not met.</span>
Answer:
Step-by-step explanation:
3 less then the quotient of 6 and a number, increased by 9
((6/n) - 3) + 9.....when n = 3
((6/3) - 3) + 9
2 - 3 + 9
-1 + 9
8 <====
This seems to be referring to a particular construction of the perpendicular bisector of a segment which is not shown. Typically we set our compass needle on one endpoint of the segment and compass pencil on the other and draw the circle, and then swap endpoints and draw the other circle, then the line through the intersections of the circles is the perpendicular bisector.
There aren't any parallel lines involved in the above described construction, so I'll skip the first one.
2. Why do the circles have to be congruent ...
The perpendicular bisector is the set of points equidistant from the two endpoints of the segment. Constructing two circles of the same radius, centered on each endpoint, guarantees that the places they meet will be the same distance from both endpoints. If the radii were different the meets wouldn't be equidistant from the endpoints so wouldn't be on the perpendicular bisector.
3. ... circles of different sizes ...
[We just answered that. Let's do it again.]
Let's say we have a circle centered on each endpoint with different radii. Any point where the two circles meet will then be a different distance from one endpoint of the segment than from the other. Since the perpendicular bisector is the points that are the same distance from each endpoint, the intersection of circles with different radii isn't on it.
4. ... construct the perpendicular bisector ... a different way?
Maybe what I first described is different; there are no parallel lines.