Question

Suppose that when studying innovative companies in the market, a researcher can, depending on characteristics such as size, capacity of expansion and differences in relation to the competition, estimate the potential of contributions by market investors. According to your analysis, obtained two company profiles (startups) associating the potential of financial return to the investor (y) and the number of investors interested in such proposals (x), as being a(x)=450000x-2500, for x<15 and b(x)=315000x-1750, for x≥15. If companies with both profiles obtain, at a given moment, revenue from 800000.00, what is the expected number of investors for each profile? Hide comments for question 2 Calculating the respective roots, we obtain: (considering only the positive root) Between 0 and 1 for the first profile and between 0 and 1 for the second profile Between 1 and 2 for the first profile and between 2 and 3 for the second profile Between 0 and 1 for the first profile and between 2 and 3 for the second profile Between 1 and 2 for the first profile and between 1 and 2 for the second profile Between 2 and 3 for the first profile and between 0 and 1 for the second profile

226

likes

1128 views

Answer to a math question Suppose that when studying innovative companies in the market, a researcher can, depending on characteristics such as size, capacity of expansion and differences in relation to the competition, estimate the potential of contributions by market investors. According to your analysis, obtained two company profiles (startups) associating the potential of financial return to the investor (y) and the number of investors interested in such proposals (x), as being a(x)=450000x-2500, for x<15 and b(x)=315000x-1750, for x≥15. If companies with both profiles obtain, at a given moment, revenue from 800000.00, what is the expected number of investors for each profile? Hide comments for question 2 Calculating the respective roots, we obtain: (considering only the positive root) Between 0 and 1 for the first profile and between 0 and 1 for the second profile Between 1 and 2 for the first profile and between 2 and 3 for the second profile Between 0 and 1 for the first profile and between 2 and 3 for the second profile Between 1 and 2 for the first profile and between 1 and 2 for the second profile Between 2 and 3 for the first profile and between 0 and 1 for the second profile

$Expert avatar$

Hermann

4.6

128 Answers

To find the expected number of investors for each company profile, we need to set the revenue equal to the corresponding function and solve for x.

For the first company profile a(x):
Given revenue: $800,000
Equating revenue to the function a(x):

450000x - 2500 = 800000

450000x = 802500

x = \frac{802500}{450000} = 1.7833

For the second company profile b(x):
Given revenue: $800,000
Equating revenue to the function b(x):

315000x - 1750 = 800000

315000x = 801750

x = \frac{801750}{315000} ≈ 2.54

Therefore, the expected number of investors for the first profile is approximately 1.78 and for the second profile is approximately 2.54.

\boxed{\text{First profile: } x \approx 1.78, \text{ Second profile: } x \approx 2.54}

Frequently asked questions (FAQs)

Math question: Find the derivative of f(x) = 3x^2 - 8x + 7.

Find the length of side b in a triangle with side a = 8, angle A = 45°, and angle B = 60°.

What are the key characteristics of the cotangent function f(x) = cot(x)? Characteristics include: period of π, symmetric about x-axis, asymptotes at x = nπ, where n is an integer, and range of all real numbers except x = nπ.

New questions in Mathematics

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

10! - 8! =

8x-(5-x)

7273736363-8

1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method

An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?

-0.15/32.6

Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?

Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?

4x + 8y = 5 2x + 4y = 10

In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24