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julsineya [31]
3 years ago
9

Help Me Please Urgent Help!!

Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0
Move the a five across and bup 2 and across 3
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The rate of change in sales for Garmin from 2008 through 2013 can be modeled by
Zina [86]

Answer:

a) The model for the sales of Garmin is represented by S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112.

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:

S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt

S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C (1)

Where C is the integration constant.

If we know that t = 9 and S(t) = 2.9, then the model for the sales of Garmin is:

-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9

C = 47.112

The model for the sales of Garmin is represented by S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112.

b) The average sales of the Garmin from 2008 through 2013 (\bar{S}) is determined by the integral form of the definition of average, this is:

\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt (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

\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]\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)

\bar{S} = 2.5

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

7 0
3 years ago
If a job pays $45,000 per year, you live in a state where our total tax burden is 22% and you recieve a weekly paycheck, what is
Vsevolod [243]
The answer is like $35,800 or something like that. Very close approximate answer
4 0
4 years ago
Simplify -(7)+(-6)+5(-2)-3​
Illusion [34]

\large\textsf{-(7) + (-6) + 5(-2) - 3 }

\large\textsf{-7 - 6 = -13}

\large\textsf{-13 + 5(-2) - 3}

\large\textsf{5(-2) = -10}

\large\textsf{-13 - 10 = -23}

\large\textsf{-23 - 3}

\large\textsf{= -26}

\boxed{\boxed{\large\text{Answer: \huge \bf -26}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

8 0
3 years ago
Read 2 more answers
In a scatter plot or diagram, what is it called when all the points lie approximately along a straight line?
solong [7]
The answer to your question is Line Correlation .
3 0
3 years ago
the cone and cylinder above have the same radius and height the volume of the cone is 222 cubic cm what is the volume of the cyl
ankoles [38]

Answer:

Step-by-step explanation:

volume of cone v=1/3πr²h

volume of cylinder V=πr²h

V=3v

volume of cylinder=3×222=666 cubic cm.

8 0
3 years ago
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