1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ivolga24 [154]
3 years ago
7

The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation p = 480.03x2 + 1 (0

≤ x ≤ 20) where p is measured in thousands of dollars and x in units of a thousand.(a) Find the revenue function R.(b) Find the marginal revenue function R'.(c) Compute R'(2).
Mathematics
1 answer:
stich3 [128]3 years ago
5 0

Answer:  a) p=480.03x^2+1, b) R'(x)=1440.09x^2+1 c) $5761.36.

Step-by-step explanation:

Since we have given that

Unit price is expressed as

p=480.03x^2+1

Let x be the number of units of a thousands.

So, Revenue function is given by

R(x)=px\\\\R(x)=x(480.03x^2+1)\\\\R(x)=480.03x^3+x

.(b) Find the marginal revenue function R'..

Marginal revenue function becomes,

R'(x)=3\times 480.03x^2+1\\\\R'(x)=1440.09x^2+1

(c) Compute R'(2).

R'(2)=1440.09(2)^2+1\\\\R'(2)=5760.36+1\\\\R'(2)=5761.36

Hence, a) p=480.03x^2+1, b) R'(x)=1440.09x^2+1 c) $5761.36.

You might be interested in
Six times the amount of women that were at the banquet last year will be in attendance this year. The same amount of men will be
Rina8888 [55]

Answer:

m+6n

Step-by-step explanation:

Let number of men who attended last year=m

Let number of women who attended last year=n

This year, we expect Six times the amount of women attendance last year =6 X n = 6n

The same number of men, m will be expected this year

Therefore, Number of Expected Attendees

= Number of Men + (Six Times the Number of Women)

=m+6n

We can expect (m+6n) people to be in attendance this year.

5 0
3 years ago
Find the value of x.<br> 1) m_2 = 3x + 13<br><br> y’all please help
natali 33 [55]

Answer:

x-- 3

Step-by-step explanation:

3 0
3 years ago
If f(x)=x^2-7 and h(x)=7x-5, then f(h(2))=
zaharov [31]
We are given 3 equations. Using these equations we can find f(h(2)).

h(x)=7x-5
h(2)=7(2)-5
h(2)=14-5
h(2)=9

f(x)=x^2-7
f(h(2))=(7x-5)^2-7
we know the answer for h(2) by now, so we can substitute for that.
f(9)=9^2-7
f(9)=81-7
f(9)=74

so f(h(2))=74
5 0
3 years ago
Write an explicit formula for the recursive formula <br><br> A(n) = A(n - 1) + 3; A(1) = 6
arsen [322]

Answer:

a_{n} = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

a_{n} = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3

7 0
2 years ago
Find the average rate of change for f(x) = x2 + 9x + 18 from x = −10 to x = 10. A) 3 B) 7 C) 9 D) 11
Sergeeva-Olga [200]

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ - 10, 10 ], thus

f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208

f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus

average rate of change = \frac{208-28}{10-(-10)} = \frac{180}{20} = 9

3 0
3 years ago
Other questions:
  • What is 8 hundreds times 10
    10·2 answers
  • One half of the students in the U.S. walk to school, one fourth of the remainder ride their bikes to school. What fraction of th
    11·1 answer
  • Can someone please help me out with these 2 problem thanks
    12·1 answer
  • Ttm Pls I need help
    8·1 answer
  • Please simplify! 1+x-1+12x=12x-3
    13·2 answers
  • A. A frog is climbing out of a well that is 8 feet deep. The frog can climb 4 feet per
    13·1 answer
  • What is the area of the parallelogram? 80 cm 2 40 cm 2 29 cm 58 cm 2
    10·2 answers
  • Add 5 2/7+ 19 1/3+ 14 1/8= . Simplify the answer and write as a reduced mixed number.
    7·1 answer
  • Estimate the quotient 19 4/5 • 4 5/8
    6·1 answer
  • I don’t know if it’s maximum value or minimum value and the answer too
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!