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4 years ago

2, 9, 16, 23, Number pattern expression equations

Mathematics

2 answers:

algol [13]4 years ago

7 0

Answer:

see below

Step-by-step explanation:

2+7 = 9

9+7 = 16

16+7 = 23

We are adding 7 each time

an = a1+ 7(n-1) where an is the nth term a1 is the first term and n is the term number

an = 2 + 7n - 7

an = 7n -5

an+1 = an +7

miskamm [114]4 years ago

4 0

Answer:

Below

Step-by-step explanation:

The sequence first terms are:

● 2, 9, 16, 23

Notice that:

● 23 - 16 = 7

● 16 - 9 = 7

● 9 - 2 = 7

Each time we add 7 to get a new term

● 2 + 7 = 9

To get the next term take the last one and add 7 to it.

● 23 + 7 = 30

The next term is 30

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3 years ago

How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

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$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

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As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

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Answer:

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