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
wolverine [178]
3 years ago
6

If the price of a product is p (dollars), the number of units demanded is given by the equation q-pe-3p

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0

Answer:

\mathbf{E(p) = 1 - 3p}

the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

Step-by-step explanation:

Given that:

the number of units demanded q = pe^{-3p}

Taking differentiations ; we have,

\dfrac{dq}{dp}=e^{-3p}+p(-3e^{-3p})

\dfrac{dq}{dp}=(1-3)e^{-3p}

Now; the price elasticity of demand using the differentials definition of elasticity  is:

E(p) = \dfrac{dq}{dp}*\dfrac{p}{q}

E(p) =[(1-3)e^{-3p}]*[\dfrac{p}{pe^{-3p}}]

\mathbf{E(p) = 1 - 3p}

(b)   Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.

The estimate of the percentage change in price is :

=\dfrac{2.10-2.00}{2.00}*100 \%

= 5%

From (a)

\mathbf{E(p) = 1 - 3p}

Now at p = $2.00

E(2) = 1 - 3 (2.00)

E(2) = 1 - 6

E(2) = -5

The percentage change in q = -5 × 5%

The percentage change in q = -25%

Thus; we can conclude that the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

You might be interested in
Item 6 A savings account earns 5% simple interest per year. The principal is $1200. What is the balance after 4 years?
lions [1.4K]

The formula for simple interest is

I=PRT

here P=$1200

R=5% or 0.05

T=4 years

plugging in the formula we get

I=1200*0.05*4=240

Balance after four years =1200+240=$1440

4 0
3 years ago
-3x^2+2xy-y^3 for x = 5 and y = -1
Alex_Xolod [135]

Answer:

Step-by-step explanation:

Evaluate for x=5,y=−1

−3(5^2)+(2)(5)(−1)−(−1)^3

−3(5^2)+(2)(5)(−1)−(−1)^3

=−84

4 0
2 years ago
Read 2 more answers
How can I solve 20% of 15?<br> Please help and please explain. I need this now!
Licemer1 [7]

To solve this, you can use this helpful equation:

\frac{is}{of} = \frac{percent}{100}

Since you now have this equation, you can just plug in.

\frac{x}{15} = \frac{20%}{100}

To find x you would cross multiply, multiply the x with 100 and the 15 with the 20%.

100x = 300

Now to find x you would just divide both sides by 100.

x=3

6 0
2 years ago
Read 2 more answers
This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!
Mekhanik [1.2K]

49^2m-m : Not equivalent

7^2m-2m : Not equivalent

7^2m-m : Not equivalent

This is actually a trick question. All of the following are actually false statements. Want to know why? Let me show you.

For exponents, if you are dividing a number to some power (i.e 5^3) by the SAME number to a different power (i.e 5^2), then the expression is 5^3-2 or 5^1 = 5. This is true for any number a such that a^b ÷ a^c = a^b-c.

Since 7 and 49 are not the same number, this rule does not apply and thus cannot be simplified any further.

Let me prove why. 5^3 = 125, and 5^2 = 25, and 125 ÷ 25 = 5. This is also the same as 5^3-2 = 5^1 = 5. We just proved this as so.

But, what about 7 and 49, or 2 different numbers. Well it doesn't apply. 7^3 = 343, and 49^2 = 2401, and 343 ÷ 2401 ≈ 0.14. Thus, this is NOT equal to 7^3-2 which is 7. We just proved that a^y ÷ b^z ≠ a^y-z. Congratulations!

Hope this helped!

7 0
1 year ago
Perform the indicated operation and simplify.<br> (3x – 6(5x + 1)
const2013 [10]

Answer:

Give her brainiest

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • For the function f(x)=x^2, what effect will multiplying f(x) by 1/2 have on the graph?
    13·1 answer
  • Someone please help ASAP will give brainliest
    5·2 answers
  • A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles
    9·1 answer
  • The area of a rectangular desk is given by the trinomial <img src="https://tex.z-dn.net/?f=%20d%5E%7B2%7D%20-7d-18" id="TexFormu
    12·1 answer
  • What’s the best estimate?
    14·2 answers
  • If you used 4/7 of an item on Wednesday and 1/4 on Thursday, how much would you have left from the whole amount on Friday?
    10·2 answers
  • PLEASE HELP MAX POINTS ONE OF THE LAST ASSIGNMENTS IN THE SEMESTER, I HAVE 4 HOURS TO FINISH MY HOMEWORK
    11·1 answer
  • Use Distributive property to write the expression without parentheses
    10·2 answers
  • (25 POINTS) Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?
    10·2 answers
  • What is the value of x?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!