Answer:
a) The model for the sales of Garmin is represented by 
.
b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
Step-by-step explanation:
a) The model for the sales of Garmin is obtained by integration:
(1)
Where 
is the integration constant.
If we know that 
and 
, then the model for the sales of Garmin is:
The model for the sales of Garmin is represented by .
b) The average sales of the Garmin from 2008 through 2013 (
) is determined by the integral form of the definition of average, this is:
(2)
![\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt](https://tex.z-dn.net/?f=%5Cbar%20S%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cint%5Climits%5E%7B13%7D_%7B8%7D%20%7B%5Cleft%5B-%5Cfrac%7B81%7D%7B2500%7D%5Ccdot%20t%5E%7B3%7D%20%2B%20%5Cfrac%7B267%7D%7B250%7D%5Ccdot%20t%5E%7B2%7D-11.9%5Ccdot%20t%20%2B%2047.112%20%20%5Cright%5D%7D%20%5C%2C%20dt)
![\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]](https://tex.z-dn.net/?f=%5Cbar%20S%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cleft%5B-%5Cfrac%7B81%7D%7B10000%7D%5Ccdot%20%2813%5E%7B4%7D-8%5E%7B4%7D%29%20%2B%5Cfrac%7B89%7D%7B250%7D%5Ccdot%20%2813%5E%7B3%7D-8%5E%7B3%7D%29%20-%5Cfrac%7B119%7D%7B20%7D%5Ccdot%20%2813%5E%7B2%7D-8%5E%7B2%7D%29%20%2B47.112%5Ccdot%20%2813-8%29%20%20%20%5Cright%5D)
The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
The rate of change of the the given table is: 3/4soda per dollar.
<h3>What is the Rate of Change?</h3>
Rate of change = change in total cost / change in number of sodas.
Using (24, 18) and (28, 21), we would have:
Rate of change = (21 - 18)/(28 - 24)
Rate of change = 3/4
Therefore, the rate of change is 3/4soda per dollar.
Learn more about the rate of change on:
brainly.com/question/8728504
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Answer:
In math :The objective function is a mathematical term that describes how different variables contribute to a certain value that is being sought to be optimized.
In science: Scientific objectivity is a characteristic of scientific claims, methods and results. It expresses the idea that the claims, methods and results of science are not, or should not be influenced by particular perspectives, value commitments, community bias or personal interests, to name a few relevant factors.
In ela: Being the object or goal of one's efforts or actions. not influenced by personal feelings, interpretations, or prejudice; based on facts; unbiased: an objective opinion. ... being the object of perception or thought; belonging to the object of thought rather than to the thinking subject (opposed to subjective).
Step-by-step explanation:
R x 9
multiplication problem, r times 9
could also be 9r
Answer:
≈ 11.66 units
Step-by-step explanation:
<u>Given points:</u>
<u>To find:</u>
- The distance between the given points
<u>The distance between two points is calculated by formula:</u>
- d= √((x2-x1)² + (y2-y1)²)
- d= √(((7-(-3))² + (-1-5)²) = √(10²+(-6)²)= √136 ≈ 11.66 units
<u>Answer is</u> ≈ 11.66 units
