# growth

1. ### Equation Representing Stock Growth Goal

A stock trader starts with a sum of 2500 dollars. His goal is to make 300 the first month, 400 the second month, 500 the third month, and so on. What equation can model this growth to solve for the total amount made after x number of months?
2. ### Compound annual growth for sales volumes

I'm trying to calculate the difference in sales growth over time. Basically I want to understand by how much have our sales increased since 2012, compared to now, on an average yearly basis. Meaning, sales have increased by an average of X% every year over the seven year period. According to...
3. ### Cannot understand harmonic series logarithmic growth

I know that 1+1/2+1/3+...+1/n =\ln(n)+\gamma+\epsilon_{k}=f(n). where \epsilon_{k}\approx 1/2n. The problem is this sum : 1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{n^2 }=? , can we go like H_{n^2 } =f(n^2 )? If yes then (*) \: \displaystyle 1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{n^2...
4. ### Asymptotic growth rate

Is there any example of an asymptotic growth rate ?
5. ### Exponential growth question for the mathematicians who love family trees

Here's something for the mathematicians that are also genealogists, since those subjects get intertwined a lot. I put this under Number Theory because of the exponential growth that comes with family trees. Anyway, I'm working on my mum's ancestry - one of her 16 great-great-grandparents was...
6. ### Function for saturating logarithmic growth

Hi everyone, After searching for a bit, I'm wondering: is there a class of functions which exhibit logarithmic growth and then saturate? An integrable form would be ideal. It seems like such a simple scenario, but I'm coming up short. Thanks!
7. ### Economic growth regression model

Hi there! I have a problem with my economic growth regression model for my assingment- I have coefficients that are not normal and i don't know how to justify them. For example, by my model if the NET_EXPORT increases than REAL_GDP decreases and the same is with population too. Here is...
8. ### exponential growth

In 1923, koalas were introduced to Kangaroo Island. In 1996, the population was 5000. By 2005, the population had grown to 27000, prompting a debate on how to control their growth and avoid koalas dying of starvation. Assuming exponential growth, find the continuous rate of growth of the koala...
9. ### Restricted growth problem

Hi. My problem is below. I get as far as 40-T = De^-kt, where D = e^-c, but every time I try to solve for D, I get it wrong. Any ideas? The personnel manager of Gibraltar Insurance Company estimates that the number of insurance claims an experienced clerk can process in a day is 40...
10. ### growth rate of two variables

In 2016, item cost is Â£6 and number of units sold is 10 in 2017, item cost increases to Â£7 and number of units sold increases to 15 Question: Of the 75% increase in cost, how much is due to price decrease and how much is because of volume increase?
11. ### Growth rate question

In 2016, item cost is Â£6 and number of units sold is 10 generating a total cost of Â£60 in 2017, item cost increases to Â£7 and number of units sold increases to 15 generating a total cost of Â£105 Question: Of the 75% increase in cost, how much is due to price increases and how much is...
12. ### Puzzled by population growth problem

Hi guys, Could someone point me in the right direction with this question. I've made a go of it but not convinced I'm on the right track. "The population of a country grows according to the formula N=N_{0}e^{kt} where N is the population (in millions) at time t (in years). N_{0} is the initial...
13. ### Exponential Growth?

Hey guys, would it be possible to explain this question for me? I'm not too sure how to get the constant k , A and B - Thanks guys
14. ### Exponential Functions and population growth

Assume that for 10 years you have been studying a certain population and the data led to a function of p(t)=a-be^(-rt) where p is in million. Find the parameters a,b, and r so that the model gives an initial population of 5 million, a population of 6 million after the end of 10 years, and...
15. ### Limits Involving Exponential Growth

I know the limit of (x+1)/x as x approaches positive infinity is 1 because the constant in the numerator becomes negligble relative to x. Does exponential growth make a limit as x approaches positive infinity to be positive infinity even if the rate of growth is small? What are the limits as x...
16. ### Optimal growth Gambling

Hi everyone :)new to this forum I have a question regarding optimal growth and risk say we play a game 1-1 vs an opponent where the payouts are 2 unites for the winner and risk is 1. In other words is a winner take it all payout. We belive we win 65% vs this player giving us a return of...
17. ### Rate Of Growth Of Two Numbers

Now, x = 1,426 and y = 8,959. The rate of growth of y relative to x = 862/277, meaning that y grows about 3.11 times as fast as x. I found a point-slope equation solver that said the equation is y = 1,724x - 2,449,465. Obviously, since y/x = about 6.28, which is > than about 3.11, the ratio...
18. ### Growth rate

I would greatly appreciate it if someone would help me with this. Let's say I have company A and Company B. Company A share sells for 500 dollar and have earnings of 5 dollar/share. Company B share sells for 100 dollar and have earnings of 7 dollar/share. This would give: Company A an...
19. ### growth of function time complexity of algorithm

Please refer page no 83 of Discrete Mathematics by Kenneth H. Rosen fourth edition. The problem is referring the fig no 2 graph that the value of k and c how we can calculate these values and how we locate? Thank you. Please refer attachments such as page 1 page 2 page 3 for understanding my...
20. ### Exponential Growth and Differential Equation

a) On January 1 2000, the park estimated that they had 500 deer on their land. Two years later, they estimated that there were 550 deer on the land. Assume that the number of deer was changing exponentially, i.e. P(t)=ae^bt where P is the number of deer at year t, and a and b are parameters.Find...