The x-axis is nearer to point B. Since the ratio PB:AB = 2/7 is positive, this indicates internal division of the line. We utilize the coordinate formula for a point dividing a line internally. Thus, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n), where PB/AB = 2/7 translates to n/m, giving n = 2 and m = 7. With point A at (0,0) and point P at (10, -5), we substitute these coordinates to find x and y. The calculations yield coordinates for B at 7⁷/₉ and -3⁸/₉. Therefore, B is -3⁸/₉ units from the x-axis and 7⁷/₉ from the y-axis, confirming that the x-axis is closer to B.
Answer: 
Step-by-step explanation:
To determine time "t", we know that:
Where "d" denotes distance, "r" signifies rate, and "t" means time.
Now isolating the time "t":
Initially, we convert miles into feet.
Since 
, thus
Recognizing that:
We substitute these values into to find time in seconds:
Given:
The resulting time in minutes is:
The insurance provider covers 80% of the $4,400 expense:
0.8*4400 = $3520
Consequently, Marge's payment amounts to 4400 - 3520 = $880
However, noting that $4400 is the total for annual group insurance, to determine her monthly payment, we divide her yearly cost by 12:
880/12 = $73.33 (rounded to two decimal places)
