Essays on Exponential Growth

Problem 1. Yowie

Part 1 The first stage was actually taking all the required physical measurements of all the group participants. They can be found in Tab.1: The only ratio we were familiar with was the one proposed by the assignment (height : arm span = 1 : 1), so we checked it. Based on our measurements we were able to make a conclusion that this ratio is actual but not precise. In our data, the ratios were: Courtney 167 : 160 = 1.04 : 1, Angela 169 : 170 = 1 : 1.01, Steev 176 : 180 = 1 : 1.02, Danielle 155 : 150 = ...

1. Assume initial population of 2700, rate of growth of 6%, and time interval of 15 years. The formula to be used is also called continuous growth formula . The future value is: FV=PV×ert PV=2700, r=0.06, t=15 FV=2700×e0.06×15=6640 2. For time intervals 30 and 45: PV=2700, r=0.06, t=30, 45 FV=2700×e0.06×30=16334 FV=2700×e0.06×45=40175 3. For growth rates 8% and 10%: PV=2700, r=0.08, t=15,30, 45 FV=2700×e0.08×15=8964 FV=2700×e0.08×30=29763 FV=2700×e0.08×45=98815 PV=2700, r=0.10, t=15,30, 45 FV=2700×e0.10×15=12100 FV=2700×e0.10×30=54230 FV=2700×e0.10×45=243050

The results from calculations are similar to the results coming from the Excel file.

4. The graphs are not straight ...

There are two types of growth which are the linear growth and the exponential growth. The linear growth is an increase in quantity with a constant rate. The exponential growth refers to the rate of increase which is proportional to the current value or quantity. According to Thomas Malthus, natural resources have a linear growth while the population has an exponential growth. He also argues that the population growth will exceed the rate of increase of resources which could lead to catastrophic effects in the future. He also argued that population control is necessary in order to avoid catastrophic ...

Regression Analysis

Using the regression analysis, we are willing to reveal the real trend behind the growth multiples of the company, i.e. whether the trend in the financial multiples posted by the company is real or just inflated numbers. Stated otherwise, regression analysis is performed to understand how sustainable are the financial numbers and how can these historical trends help us in forecasting the future performance of the company. The first two multiple analyzed were sales per share and EPS as these multiples reveals the amount of money the entity is making. Analyzing the trend, we witnessed that while the sales ...

Abstract

Megabus has steadily grown to be one of the largest intercity transport sectors in North America. Stagecoach Group, with a fleet of close to 2500 vehicles and more than 5000 employees, has overseen the rapid expansion of Megabus. As a late entrant into the market, the company has the advantages of creating services that are tailored to its target market. It has also embraced social media platform which is popular among the youth that forms the largest proportion of its clients. However, Megabus faces stiff competition in the industry. It also has to content with low-profit margins due to ...