A cell phone company charges $40 per month plus $2 for each minute of time used out of the service are.write the equation that d
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We have two points describing the diameter of a circumference, these are:
Recall that the equation for the standard form of a circle is:
Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.
For this we use the following equation:
Now, we replace and solve:
The center of the circle is (-8,-7), so:
On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:
In this case, we will solve the delta with the center coordinate and the B coordinate.
Therefore, the equation for the standard form of a circle is:
In conclusion, the equation is the following:
Using an exponential function, it is found that the number 131.5 represents the initial value of the plane, in thousands of dollars.
<h3>Exponential function:</h3>A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the function for the value of the airplane after t years is given by:
Hence A(0) = 131.5, which means that the number 131.5 represents the initial value of the plane, in thousands of dollars.
To learn more about exponential functions, you can take a look at brainly.com/question/8935549