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adell [148]
2 years ago
3

a company estimates that the total revenue, R, in dollars, received from the sale of items is R= ln(1+1000Q^2). Calculate and in

terpret the marginal revenue if q=10
Mathematics
1 answer:
Mumz [18]2 years ago
4 0
R=ln(1+1000q^2)

dr/dq=1/(1+1000q^2)*2000q

dr/dq is the "marginal revenue" which is the instantaneous rate of change at q=10, used to approximate the revenue generated by increasing the sales by 1.

The approximation is just that, to truly calculate the additional revenue produced by the next unit sold you would need to find r(11)-r(10)
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What is the slope of the line through ( − 5 , − 10 ) (−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
nikdorinn [45]

Answer:

3.75

Step-by-step explanation:

We have to find the slope of a straight line through points (-5,-10) and (-1,5).

Now. we know the slope of a straight line through the points (x_{1},y_{1}) and (x_{2},y_{2}) is given by [\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ].

So, in our case (x_{1},y_{1}) ≡ (-5,-10) and (x_{2},y_{2}) ≡ (-1,5).  

Therefore, the slope of the line is \frac{5 - (- 10)}{- 1 - (- 5)} = \frac{15}{4} = 3.75 (Answer)

7 0
2 years ago
Nick billups is paid a salary of $ 900 a month, a 2 % commission on all sales, and 1.8 % more on monthly sales over $ 17,500. In
Trava [24]
June :
900 + 0.02(48,500) + 0.018(48500 - 17500) = 
900 + 970 + 558 = 2428 <==

July :
900 + .02(50,200) + 0.018(50200 - 17500) =
900 + 1004 + 588.60 = 2492.60 <===
5 0
2 years ago
Read 2 more answers
According to a study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That
timama [110]

Answer:

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

3 0
2 years ago
PLEASE ANSWER QUICK!!!
grandymaker [24]
Number 1 is -23 and number 2 is a
4 0
2 years ago
Read 2 more answers
Which is a perfect square? 6 Superscript 1 6 squared 6 cubed 6 Superscript 5 Mark
Mazyrski [523]

Answer:

6^2

Step-by-step explanation:

The square root of a perfect square is a rational number.

So let us take the square root of each number to see which is a rational number.

\sqrt{6^1}=\sqrt{6}......irrational

\sqrt{6^2}=6......rational

\sqrt{6^3}=6\sqrt{6}.........irrational

\sqrt{6^5}=36 \sqrt{6}irrational.

Therefore 6^2 is a perfect square

3 0
2 years ago
Read 2 more answers
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