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lisabon 2012 [21]
4 years ago
12

Please and thankyou (:

Mathematics
1 answer:
den301095 [7]4 years ago
6 0

Let's evaluate the ratio test:

\dfrac{a_n}{a_{n-1}}=\dfrac{3^{n+1}}{3n+1}\cdot\dfrac{3(n-1)+1}{3^n}=\dfrac{3\cdot3^n}{3n+1}\cdot\dfrac{3n-2}{3^n} = \dfrac{9n-6}{3n+1}

The limit as n \to\infty of this quantity is 3, which is more than 1. So, the series diverges.

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. Suppose that Scott and Bob live on the same street. In the winter, both of them like the snow on their street to be plowed. Bo
satela [25.4K]

Answer:

a. Using the inverse demand for each, solve for the social marginal benefit curve.

Bob:                          Scott:

Q = 40-P                    Q = 30 – P

(-1)Q – 40 = -P(-1)    (-1)Q – 30 = -2P

40 – Q = P             30 – Q = 2P

                             ((30 – Q) = 2P)/2

                            15 – 1/2Q = P

P = 15 – 1/2Q + 40 – Q

P = 55 – 1.5Q  

Scott is no longer willing to pay anything when Q >30

Social Marginal Benefit curve: Q = 40 - P

b. What is the socially efficient amount of plowing?

SMB = SMC

35 = 55 – 1.5Q

Subtract from both sides and rearrange

1.5Q = 20

Q = 13.33

c. Suppose the input costs of plowing fell and marginal costs of plowing were now constant at $5.

55 – 1.5Q = 5

55-5 = 1.5Q

50 = 1.5Q

33.3 = Q*

4 0
3 years ago
What is the simplified form of 400x100 ?<br> O 200x10<br> O 200x50<br> O 20x10<br> O 20x50
SVEN [57.7K]

Answer:

√400 x √100 = 40,000  

√40,000 = 200  

So your answer is 200 x 10.

Hope this Helps!!

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Is (4, 2) a solution for the system of inequalities
Alenkinab [10]

Answer:

yes it is and its also a coordinate

Step-by-step explanation:

5 0
3 years ago
If a plastic cup costs #80.00 and 1/2 dozen of it costs #420.00, find the discount on 1/2 dozen
lutik1710 [3]

Answer: 60

Step-by-step explanation:

Cost of a plastic cup = 80.00

Cost of 6 plastic cups = 80 * 6 = 480

Purchase price = 420

Discount = 480 - 420 = 60

3 0
4 years ago
Read 2 more answers
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15
Valentin [98]

Answer:

(a) = 11 cm

Step-by-step explanation:

The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.

The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.

  1. B + (1/2*80*15) = 1040
  2. B + 600 = 1040
  3. 1040 - 600 = 440 (440 is the area of pentagon)
  4. 1/2*a*(16*5) = 440
  5. 40*a = 440
  6. 440/40 = 11

The apothem is 11 cm. Hope this helps!

6 0
3 years ago
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