A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be,

(a)

Q1, or the first quartile, is at least 1/4 of the data points. It falls within the first bar, leading to an estimation of Q1=5. However, since this bar contains values ranging from 0 to around 9 or 10 (exactly unclear), and comprises almost 37% of the points, we might estimate Q1 slightly higher, around Q1=7.

The median must exceed half the points. With the first bar at 37% and the next at 22%, it is positioned roughly halfway in the second bar, giving median=15.

The third bar holds 11%, totaling 70% so far. The fourth bar includes 5%, placing us toward the end of the fourth bar for Q3, the third quartile, or 75th percentile, approximately Q3=40.

b

When data is significantly skewed to the left, as seen here, the median is typically lower than the mean. The 5% of data ranging from 80 to 120 averages around 100, contributing 5 to the mean, while 8% from 60 to 80 adds an additional 5.6, and 15% from 40 to 60 adds roughly 7.5. Consequently, the mean will likely be much higher than the median, which is around 15.

The common ratio of the sequence is 3.

If 35% of the area is already developed, the remaining undeveloped percentage is:
100 - 35
= 65%
Thus, the amount of land left to be developed will be:
35/65*500
= 269.23 acres
the answer is 269.23

In 45 minutes, the distance traveled would be 15.5 miles.

When two straight lines cross, the vertically opposite angles created are equal, and the remaining two angles match each other as well. Suppose one known angle is x; then the two adjacent angles can be calculated by subtracting twice x from 360 degrees and dividing the remainder by 2.

Thus, the table fills out as follows:

Row 1:

Given angle <GEF = 120°

Angle <FEM is adjacent to <GEF, so


Angle <MEH is vertically opposite to <GEF, making it equal to 120°

Angle <HEG is vertically opposite <FEM, so it equals 60°.


Row 2:

Given angle <MEH = 150°

Since <MEH is vertically opposite to <GEF, <GEF = 150°

Angle <FEM is adjacent to <GEF, thus


Angle <HEG is vertically opposite to <FEM, so <HEG = 30°.


Row 3:

Given angle <FEM = 25°

Angle <FEM is adjacent to <GEF, thus


Angle <MEH is vertically opposite to <GEF, equal to 155°

Angle <HEG is vertically opposite <FEM, so it equals 25°.


Row 4:

Given angle <HEG = 45°

Angle <HEG is adjacent to <GEF, so


Angle <FEM is vertically opposite to <HEG and thus equals 45°

Angle <MEH is vertically opposite to <GEF, hence <MEH = 135°.