type

Page

Created date

Apr 21, 2024 05:03 AM

category

Lifestyle

tags

Vision

status

Published

Language

From

summary

slug

growth

password

Author

Priority

Featured

Featured

Cover

Origin

Type

URL

Youtube

Youtube

icon

fa-solid fa-arrow-up

## The difference between a consistent small compound change and small decay over time is this:

#### Marcus Aurelius in The Meditation:

**On Growth**:*"The impediment to action advances action. What stands in the way becomes the way."*

**On Decay**:*"You could leave life right now. Let that determine what you do and say and think."*

**On Happiness**:*"Very little is needed to make a happy life; it is all within yourself, in your way of thinking."*

**On Being Yourself**:*"Waste no more time arguing about what a good man should be. Be one."*

**On Perseverance**:*"You have power over your mind - not outside events. Realize this, and you will find strength."*

## Following is the code to plot the graph:

`import numpy as np import matplotlib.pyplot as plt # The red curve represents the function f(x) = 1.01^x # The blue curve represents the function g(x) = 0.99^x * 1000 # Let's define the x range based on the image observation x = np.linspace(0, 700, 400) # Now we define the functions f_x = 1.01**x g_x = 0.99**x * 1000 # Plotting the functions plt.figure(figsize=(10, 6)) # Plot each function plt.plot(x, f_x, 'r-', label='1.01^x') # Red curve plt.plot(x, g_x, 'b-', label='0.99^x * 1000') # Blue curve # Adding legend plt.legend() # Display the plot plt.xlabel('x') plt.ylabel('y') plt.suptitle('The Power of Compound Changes', fontsize=16) plt.title('Exponential Growth Meets Exponential Decay', fontsize=10) plt.grid(False) plt.show()`