Answer:
<h3>
Bob walked faster than Ion.</h3>
Step-by-step explanation:
90/4=22.5
Ian - 1 mile in 22.5 minutes
2x60=120
60/2=30
120+30=150
150/7=21.43
Bob - 1 mile in 21.43
Given:
Current revenue = $6000
<span>R(f)= -100f^2 + 400f + 6000
where f is a whole number of $5 fee increases
We are told to find f, when R(f) </span><span>< 6000
Since </span>R(f)= -100f^2+400f+6000
R(f) < 6000 ⇒ -100f^2+400f+6000 < 6000
Subtract 6000 from both sides
-100f^2 + 400f + 6000 - 6000 < 6000 - 6000
-100f^2 + 400f < 0
⇒ 400f - 100f^2 < 0
Divide the equation by 100
400f/100 - 100f^2/100 < 0/100
4f - f^2 < 0
Add f^2 to both sides of the equation
4f - f^2 + f^2 < 0 + f^2
4f < f^2
Divide both sides by f
4f/f < (f^2)/f
4 < f
⇒ f > 4
⇒ f ≥ 5
Therefore, <span> for 5 or more numbers of $5 fee increases, the revenue from fees will actually be less than its current value.</span>
71 %
Calculate score for each paper, total them and convert to a percentage.
Paper 1 : mark = 0.65 × 120 =78
Paper 2 :mark = 0.8 ×80 = 64
Total mark = (78 + 64)/200 =142/200
Percentage score = 142/200 × 100 % = 71 %
