Kala call lasted for 0.36 minutes
<em><u>Solution:</u></em>
Given that Kala purchased a prepaid phone card for $15
Long distance calls cost $12 a minute using this card.
If the remaining credit on her card is $10.68
To find: Number of minutes her call lasted
Let "x" be the number of minutes her call lasted
Cost of 1 minute = $ 12
Total balance = $15
Remaining balance = $ 10.68
So we can frame a equation as:
Total balance = Remaining balance + Cost of 1 minute x number of minutes her call lasted

So her call lasted for 0.36 minutes
Answer:
The plane's distance from the radar station will increase about 8 miles per minute when it is 5 miles away from it.
Step-by-step explanation:
When the plane passes over the radar station, the current distance is the altitude h = 2. Then it moves b horizontally so that the distance to the station is 5. We can form a rectangle triangle using b, h and the hypotenuse 5. Therefore, b should satisfy
h²+b² = 5², since h = 2, h² = 4, as a result
b² = 25-4 = 21, thus
b = √21.
Since it moved √21 mi, then the time passed is √21/540 = 0.008466 hours, which is 0.51 minutes. Note that in 1 minute, the plane makes 540/60 = 9 miles.
The distance between the plane and the radar station after x minutes from the moment that the plane passes over it is given by the function

We have to compute the derivate of f in x = 0.51. The derivate of f is given by

also,

The plane's distance from the station will increase about 8 miles per minute.
Answer:
there is traffic on the freeway
a lot of cars on the freeway
Step-by-step explanation:
None
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