5 (1)

5 (1)

#### Overview of this book

Are you looking to start developing artificial intelligence applications? Do you need a refresher on key mathematical concepts? Full of engaging practical exercises, The Statistics and Calculus with Python Workshop will show you how to apply your understanding of advanced mathematics in the context of Python. The book begins by giving you a high-level overview of the libraries you'll use while performing statistics with Python. As you progress, you'll perform various mathematical tasks using the Python programming language, such as solving algebraic functions with Python starting with basic functions, and then working through transformations and solving equations. Later chapters in the book will cover statistics and calculus concepts and how to use them to solve problems and gain useful insights. Finally, you'll study differential equations with an emphasis on numerical methods and learn about algorithms that directly calculate values of functions. By the end of this book, you’ll have learned how to apply essential statistics and calculus concepts to develop robust Python applications that solve business challenges.
Preface
1. Fundamentals of Python
Free Chapter
2. Python's Main Tools for Statistics
3. Python's Statistical Toolbox
4. Functions and Algebra with Python
5. More Mathematics with Python
6. Matrices and Markov Chains with Python
7. Doing Basic Statistics with Python
8. Foundational Probability Concepts and Their Applications
9. Intermediate Statistics with Python
10. Foundational Calculus with Python
11. More Calculus with Python
12. Intermediate Calculus with Python

# 5. More Mathematics with Python

## Activity 5.01: Calculating Your Retirement Plan Using Series

Solution:

Perform the following steps to complete this activity:

1. First, we need to identify the input variables and note that the problem boils down to calculating the n-term of a geometric sequence with a common ratio (1 + interest) and scale factor for the annual salary.

`annual_salary` and the percentage, contrib, of it is what we contribute toward our plan. `current_balance` is the money that we have at year 0 and should be added to the total amount. `annual_cap` is the maximum percentage that we can contribute; any input value beyond that should be equal to `contrib_cap`. `annual_salary_increase` tells us how much we expect our salary to increase by per year. `employer_match` gives us the percentage amount the employer contributes to the plan (typically, this is between 0.5 and 1). Lastly, the current age, the duration of the plan in years, the life expectancy in years, and any other...