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UNO [17]
2 years ago
11

Find the multiplier that should be used and the initial value, then write and exponential equation in the form f(x)=ab to the po

wer of x... the function passes through the points (1, 20) and (4, 2500)
Mathematics
1 answer:
astra-53 [7]2 years ago
4 0
Hdhdhdhdhdbdbdjhdddd
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NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi
natali 33 [55]

Answer:

a.  \frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100

b. \frac{dR(q)}{dq}=-0.01q+200

c.

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

 

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100

b) The income function is given by the relation R (q) = P (q) q = -0.005q^2 + 200q.

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

\frac{dR(q)}{dq}= -0.01q+200

 

(c) The profit function of the company is given by the relation U (q) = R (q) - C (q), and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100

When q = 2000, the marginal utility is:

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

When q = 7000, the marginal utility is:

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

6 0
3 years ago
Given a function I and a subset A of its domain, let I(A) represent the range of lover the set A; that is, I(A) = {I(x) : x E A}
Ede4ka [16]

Step-by-step explanation:

(a)

Using the definition given from the problem

f(A) = \{x^2  \, : \, x \in [0,2]\} = [0,4]\\f(B) = \{x^2  \, : \, x \in [1,4]\} = [1,16]\\f(A) \cap f(B) = [1,4]  = f(A \cap B)\\

Therefore it is true for intersection. Now for union, we have that

A \cup B = [0,4]\\f(A\cup B ) = [0,16]\\f(A) = [0,4]\\f(B)= [1,16]\\f(A) \cup f(B) = [0,16]

Therefore, for this case, it would be true that f(A\cup B) = f(A)\cup f(B).

(b)

1 is not a set.

(c)

To begin with  

A\cap B \subset A,B

Therefore

g(A\cap B) \subset g(A) \cap g(B)

Now, given an element of g(A) \cap g(B) it will belong to both sets, therefore it also belongs to g(A\cap B), and you would have that

g(A)\cap g(B) \subset  g(A \cap B), therefore  g(A)\cap g(B)  =  g(A \cap B).

(d)

To begin with A,B  \subset A \cup B, therefore

g(A) \cup g(b) \subset g(A\cup B)

7 0
3 years ago
The coordinate of point T are (0,6). The midpoint of ST is (1,-2). Find the coordinates of point S
enot [183]

Answer:

-1, 12 I believe

Step-by-step explanation:

find the distance between the two given plots and do the opposite to find your answer

3 0
2 years ago
17. Anna is 157.5 centimeters tall and her
Alinara [238K]
15.26 mm. All you gotta do is convert the millimeters to centimeters, and that subtract. Make sure the decimal point is right, tho. :)
5 0
2 years ago
Rachel made 276dollors for 12hours of work. At the same rate, how much would she make for 17hours of work?
Vikki [24]

Answer:

$391

Step-by-step explanation:

276 ÷ 12 = 23

$23 = 1 hour

23 × 17=391

6 0
2 years ago
Read 2 more answers
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