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
Tcecarenko [31]
3 years ago
9

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 5p+5x+3px=71. Suppose al

so that p and x are both functions of time, measured in days. Find the rate at which x is changing when x=3, p=4, and dp/dt=1.4. The rate at which x is changing is [ ] sales per day
Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

decrease of 1.153 sales per day

Step-by-step explanation:

Given:-

- The price of item = p

- The number of sales = x

- The relationship between "p" and "x" is given below:

                             5p+5x+3px=71

Find:-

Find the rate at which x is changing when x=3, p=4, and dp/dt=1.4. The rate at which x is changing is [ ] sales per day

Solution:-

- Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 3px ). Since both "p" and "x" are only functions of time "t":

                               d/dt (5p+5x+3px=71)

                               5*dp/dt + 5*dx/dt + 3* ( x*dp/dt + p*dx/dt) = 0

- Use the given values x=3, p=4, and dp/dt=1.4 to determine dx/dt:

                               5*1.4 + 5*dx/dt + 3*3*1.4 + 3*4*dx/dt = 0

                               17dx/dt = -19.6

                               dx/dt = -1.153 sales per day

- There is a decrease of 1.153 sales per day.

You might be interested in
Hector went shopping for a computer. At RST store, a computer originally prices at $955 had a price reduction of 40%. What was t
balandron [24]

Answer:

$573

Step-by-step explanation:

955* 0.60=573

or

10% of 955= 95.5

50% of 955=477.5

477.5=95.5=573

4 0
3 years ago
Find the area bounded by the graphs of the indicated equations over the given interval.
NeX [460]

Answer:

48

Step-by-step explanation:

y = 0

is basically the horizontal axis.

First, find the integral of x^2-25.

Remember that

integral of a constant is that constant times x.

Also that

to take the integral of a power function, add 1 to the degree and divide by that same degree.

y =  {x}^{2}  - 25

We then get

\frac{ {x}^{3} }{3}  - 25x

Evaluate at -3

\frac{ - 3 {}^{3} }{3}  - 25( - 3)

- 27 + 75 = 48

Then we evaluate at 0

\frac{0 {}^{3} }{3}  - 25(0) = 0

Next, we subtract the the answer then we get

48 - 0 = 48

8 0
2 years ago
Which sentence contains an adverb?
ArbitrLikvidat [17]
The answer to it is C
4 0
3 years ago
Find the measures of the legs of isosceles triangle ABC if AB= 2x+4,BC= 3x-1,AC=x+1 and the perimeter of the triangle ABC is 34
Naddika [18.5K]
(2x+4) +(3x-1) +(x+1)=34
6x+4=34
x=5
AB=14, BC=14, AC=6
5 0
3 years ago
Read 2 more answers
How to solve 2(10 -6x)=x -8x
SashulF [63]

Answer:

4

Step-by-step explanation:

2(10 -6x)=x -8x

20 - 12x = x - 8x

20 = x - 8x + 12x

20 = 5x

20 / 5 = x

x = 4

3 0
2 years ago
Read 2 more answers
Other questions:
  • HELP!!!!! what 2 numbers can you multiply to get -6 and then add to get 5
    13·2 answers
  • What is the lowest common multiple of 24 & 42
    13·2 answers
  • Freddie gets paid £1500 per month he spends 20% on rent the rest is spent on food, travel and socialising in the ratio 2:3:1 res
    13·1 answer
  • Please Help!!
    6·1 answer
  • Which decimal is less than 0.8?
    5·1 answer
  • Evaluate the expression 4x^2 + 3y for x = 5 and = 6.
    11·1 answer
  • A photocopy of a polygon was reduced to 80% of its original size. The , the copy was again reduced to 80% of its size. What is t
    7·1 answer
  • A tree in John's backyard has been growing for 4 1/2 years. The tree is 4/5 meters tall. What is the unit rate in meters per yea
    13·1 answer
  • Use a property of equality to solve this equation:<br><br> 4.5x = 18<br><br> x =
    12·2 answers
  • Sycamore Elementary
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!