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Yuki888 [10]
3 years ago
10

Opposite reciprocal slope lines or parallel or perpendicular

Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0


-- If two lines on a graph are parallel, then their slopes are equal.

-- If two lines on a graph are perpendicular, then their slopes are
negative reciprocals.


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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).
mars1129 [50]

Answer:

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

This function has the following derivative, which represents the variation in relation to the previous month.

S'(t) = 0.09t^{2} + t + 9

Find S(2) and S'(2)

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(t) = 0.09t^{2} + t + 9

S'(2) = 0.09*2^{2} + 2 + 9 = 11.36

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

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3 years ago
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Step-by-step explanation:

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stiks02 [169]

Answer:

$150

Step-by-step explanation:

I = prt

I = 5000(.06)(.5)

I = 150

8 0
3 years ago
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