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zaharov [31]
3 years ago
7

The relationship between the amount of money x that Cannon Precision Instruments spends on advertising and the company's total s

ales S(x) is given by the following function where x is measured in thousands of dollars. S(x) = −0.002x3 + 0.4x2 + 9x + 500 (0 ≤ x ≤ 200) Find the rate of change of the sales with respect to the amount of money spent on advertising.
Mathematics
1 answer:
mafiozo [28]3 years ago
7 0

Answer:

S'(x)=-0.006x2+0.8x+9

Step-by-step explanation:

The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).

We know that the derivative of ax^n is nax^{n-1} (where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:

S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9

Which means:

S'(x)=-0.006x2+0.8x+9

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3 years ago
How do I solve for the fourth term in this sequence?
tatiyna

Answer:

<h2>d(4) = 64</h2>

Step-by-step explanation:

d(1) = 13

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where

n is the nth term

To find the 4th term we must first find the second term use it to find the 3rd term and use the 3rd term to find the 4th term

So we have

<u>For the 2nd term</u>

That's d(2)

We have

d(2) = d(2-1) + 17

d(2) = d(1) + 17

But d(1) = 13

d(2) = 13 + 17 = 30

<u>For the 3rd term d(3)</u>

That's

d(3) = d(3 - 1) + 17

d(3) = d(2) + 17

d(3) = 30 + 17 = 47

<u>For the 4th term that's d(4)</u>

We have

d(4) = d(4 - 1) + 17

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d(4) = 47 + 17

We have the final answer as

<h3>d(4) = 64</h3>

Hope this helps you

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A cell phone company charges $20 for a customer to open a new account and $35 for each month of phone service.
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