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3 years ago

What is the common ratio for this geometric sequence?

Mathematics

2 answers:

juin [17]3 years ago

4 0

Answer is c 3 because it is multiplied 3 everytime

Alexxandr [17]3 years ago

4 0

Answer:

Common ratio for the sequence is 3

Step-by-step explanation:

Given sequence is

5, 15, 45, 135,.....

To find out common ratio, divide the second number by the first number

$\frac{15}{5} =3$

$\frac{45}{15} =3$

$\frac{135}{45} =3$

we got 3 that is our common ratio 3

Common ratio for the sequence is 3

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Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

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Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

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Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

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Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

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