MathMaster logo

MathMaster

  1. Home
  2. general
  3. is the logarithmic function applicable when modeling business applications why or why not
Question

Is the logarithmic function applicable when modeling business applications? Why or why not?

254

likes
1268 views

Answer to a math question Is the logarithmic function applicable when modeling business applications? Why or why not?

Expert avatar
Esmeralda
4.7
102 Answers
1. \text{Logarithmic functions are used in business to model diminishing returns or growth rates that slow over time.}
a. \text{For example, in marketing, the initial impact of a new campaign might be substantial, but the effect often diminishes as the market becomes saturated.}
2. \text{They are also used to model learning curves, where the rate of learning decreases as cumulative experience increases.}
3. \text{Logarithmic scales can be useful in financial modeling, particularly in the context of investment returns and understanding compounded growth over time.}
4. \text{Ultimately, the applicability hinges on the need to represent phenomena that exhibit quickly increasing or decreasing rates that taper off over time.}

\text{Answer: Yes, the logarithmic function is used to model scenarios such as diminishing returns, learning curves, and certain financial models.}

Frequently asked questions (FAQs)
Find the equation of a hyperbola with vertex (-2,1), foci (-4,1) and (0,1), and asymptotes y = x/2 + 3/2 and y = -x/2 - 1/2. (
+
Question: What is the maximum value of the logarithmic function \(f(x) = \log_2(e^{3x}-1)\) within the domain \((-1, 2)\)?
+
Math Question: Find the equation of a circle with center (2, -3) and a radius of 5.
+
New questions in Mathematics
a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?
Add. 7/w²+18w+81 + 1/w²-81
The patient is prescribed a course of 30 tablets. The tablets are prescribed “1 tablet twice a day”. How many days does a course of medication last?
5 . {2/5 + [ (8/-9) - (1/-7) + (-2/5) ] ÷ (2/-5)} . 8/15
-6(3x-4)=-6
Find the equation of the normal to the curve y=x²+4x-3 at point(1,2)
P is a polynomial defined by P(x) = 4x^3 - 11×^2 - 6x + 9. Two factors are (x - 3) and (x + 1). Rewrite the expression for P as the product of linear factors.
3x+2/2x-1 + 3+x/2x-1 - 3x-2/2x-1
Log(45)
3. A rock is dropped from a height of 16 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤3) is given by s(t)=-2t2 + 16. Find the average velocity of the rock over [0.2,0.21] time interval.
Using the bank and exact method, calculate the interest on capital 10000 at 12% annual nominal interest rate for the period from 15.3. 2016 until 10/10/2016
Jasminder has made 55% of the recipes in a particular cookbook. If there are 9 recipes that he has never made, how many recipes does the cookbook contain?
Write the detailed definition of a supply chain/logistics related maximization problem with 8 variables and 6 constraints. Each constraint should have at least 6 variables. Each constraint should have At least 5 variables will have a value greater than zero in the resulting solution. Variables may have decimal values. Type of equations is less than equal. Numbers and types of variables and constraints are important and strict. Model the problem and verify that is feasible, bounded and have at least 5 variables are nonzero.
A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above
You buy a $475,000 house and put 15% down. If you take a 20 year amortization and the rate is 2.34%, what would the monthly payment be?
a) 6x − 5 > x + 20
Write the inequality in the form of a<x<b. |x| < c^2
2+2020202
Select a variable and collect at least 50 data values. For example, you may ask the students in the college how many hours they study per week or how old they are, etc. a. Explain what your target population was. b. State how the sample was selected. c. Summarise the data by using a frequency table. d. Calculate all the descriptive measures for the data and describe the data set using the measures. e. Present the data in an appropriate way. f. Write a paragraph summarizing the data.
In a school playground When going out for recess, 80 men and 75 women coexist, the Patio measures 10 meters For 40 meters (what will be the population density in the break

You might be interested in