Answer: it would take 22 hours before you pay the same amount for both Garages.
Step-by-step explanation:
Let x represent the number of hours that you park at either Garage A or Garage B
Let y represent the total amount paid for x hours at Garage A
Let z represent the total amount paid for x hours at Garage B
Garage A charges $11 for the first 2 hours of parking there and then $3 per hour after the first 2 hours. This means that the total amount for x hours would be
y = 2 × 11 + 3x
y = 22 + 3x
Garage B charges $4 per hours. This means that the total amount for x hours would be
z = 4x
To determine the number of hours before the amount for both Garages becomes the same, we would equate y to z. It becomes
22 + 3x = 4x
4x - 3x = 22
x = 22
For this case we have the following kinematic equation that models the problem:
h (t) = (1/2) * (- 9.8) * t ^ 2 + 12 * t + 2
Rewriting we have:
h (t) = -4.9 * t ^ 2 + 12 * t + 2
When the ball hits the ground we have:
-4.9 * t ^ 2 + 12 * t + 2 = 0
Solving the polynomial we have:
t1 = -0.16
t2 = 2.61
We ignore the negative root because it is time.
Answer:
It will take the ball to hit the ground about:
t = 2.61 sec
Answer:
I think with both plans it costs $45 for 3 hours of tutoring.
Step-by-step explanation:
The speed is the distance covered by an object at a particular time. The time it will take for the train to pass the jogger is 36 seconds.
<h3>What is speed?</h3>
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
The speed of the train and the man can be written as,
- Speed of the train = 45kmph = 45×(5/18) = 12.5mps
- Speed of the man = 9kmph = 9×(5/18) = 2.5mps
Now, the time it will take for the train to completely pass the man is,
Relative speed = Distance / Time
(12.5 - 2.5) = (240 + 120)/ Time
10 = 360/Time
Time = 360/10
Time = 36 seconds
Hence, the time it will take for the train to pass the jogger is 36 seconds.
Learn more about Speed here:
brainly.com/question/15100898
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