## Free High School Math Resources

Greetings math friends! Today’s post is for the New York state teachers out there in need of a lesson boost. In this post, we’ll go over what MathSux has to offer for free high school math resources including videos, lessons, practice questions, etc. Remember everything you see here is 100% free and designed to make your life (and your students’ life) easier.

1) Math Videos

2) Math Lessons

3) Practice Questions

4) NYS Regents Review

Everything designed here aligns with the NYS Common Core Standards for Algebra, Geometry, Algebra 2/Trig. and Statistics.

I am a NYS math teacher that creates free math videos, lessons, and practice questions every week, right here, for you! On the YouTube channel, you’ll also find NYS Common Core Regents questions reviewed one question at a time.

Featured on Google Classrooms around the world, MathSux.org is a great resource especially now, in the time of COVID and zooming and schooling from home. I hope you stick around and find these resources helpful.

And if you’re looking to get the latest MathSux.org videos and emails straight to your inbox, don’t forget to sign up on the right hand-side of the website. Thanks so much for stopping by and happy calculating! 🙂

## Continuously Compounding Interest Formula

A=Pert

P=Principal (Original \$ Amount Invested)

e=Mathematical Constant

r=Interest Rate

t=Time

Hi everyone and welcome to MathSux! In this post, we are going to go over the continuously compounding interest formula, A=Pert! This is a great topic as it relates to finance and real-world money situations (sort of). We are going to break down everything step by step by understanding what the continuously compounding interest rate formula A=Pert is, identifying each component of the formula, and then applying it to an example. If you’re looking for more, don’t forget to check out the video and the practice questions at the end of this post. Happy calculating! 🙂

## What is Continuous Compounding Interest Formula?

Let’s say we have \$500 and we want to invest it.

What if it compounded interest once a year?

Twice a year?

Once a day, or 365 days a year?

What if we compounded interest every second of the day for a total of 86,400 seconds throughout the year!?

And what if we kept going, making the number of times compounded annually more and more often to occur every half second? This is what Continuous Compounding Interest is, and it tells us how much we earn on a principle (original amount) if the compound interest rate for the year were to be granted an infinite number of times.

The weird thing is that continuous compounding interest is technically impossible (I’ve yet to see a bank that offers an infinite number of compounding interest!).  Even though it is impossible, in math and finance, we look at continuous compounding interest for theoretical purposes, in other words, it’s for money nerds! Luckily, it comes with an easy-to-use formula, let’s take a look:

Now, let’s see this formula in action with the following Example:

Step 1: First, let’s write out our formula and identify what each value represents based on the question.

Step 2: Fill in our formula with the given values and solve.

## Practice Questions:

1) Sally invested \$1000 which was then continuously compounded by 4%. How much money will Sally have after 5 years?

2) Brad invested \$1500 into an account continuously compounded by 5%. How much money will he have after 7 years?

3) Fran invests \$2000 into an account that is continuously compounded by 1%. How much money will Fran earn by year 5?

## Solutions:

1) \$1,221.40

2) \$2,128.60

3) \$2,102.54

Want to make math suck just a little bit less? Subscribe to my Youtube channel for free math videos every week! 🙂

Looking to review more topics in Algebra? Check our Algebra page here!