Interest Compounded Continuously

This finance video tutorial explains how to calculate interest that is compounded continuously. It also explains how to calculate the time it takes for your investment to double using natural logs and the rule of 72.

Logarithms - The Easy Way!

Log to Exponential Form:

Change of Base Formula:

Change of Base Log Problem:

Properties of Logarithms:

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Expanding Logarithmic Expressions:

Condensing Logarithmic Expressions:

Natural Logarithms:

Solving Exponential Equations:

Exponential Equations - Quadratic Form:

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Solving Logarithmic Equations:

Graphing Logarithmic Functions:

Graphing Exponential Functions:

Compound Interest Word Problems:

Logarithms Practice Problems:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[yohanesphilis]

You are by far the best math YouTuber who has helped with math throughout this pandemic with online schooling. You have done more for me than my math teacher.

[MrPizza_]

Steps for putting it in the calculator:
Take e and put it to the power of the rate
Then when that number is in the calculator just times it by the inital value
In this problem it would be like this:
(e^.90)*10000= 24596.03
I was struggling with this and saw some other comments having problems.

[toshio]

Hi Mr.JG, thanks for the videos, I don’t know how to thank you but, I’m 15 and I’m in uni already, and your videos are awesome, especially the SAT prep video.

[rebeccarobinson]

When I finish my degree there is decent donation coming your way! Thank you!!

[georgesadler]

MR. Organic Chemistry Tutor, thank you for another awesome video on Compound Interest/Interest Compound Continuously.

[MathWebs]

Thanks, I think we're were both fighting the dumbdown in education.

[aishaaljifry]

Thank you so much for your effort, know that I'm depending on you and you are helping me to understand math and statistics, so KEEP UP

[donatello]

this was extremly helpful but im not sure how you get the rate if its not givin

[danielsalumu]

Love the video really helped out alot, thanks man

[vengefulpictures]

I know it's late but can you teach us how to find A, P, r, and t?

[PRINTING_Mony]

What is the formula if interest rate is missing

[rithikdobriyal]

Can anyone tell how we find the value of interest with taking log both sides. For example my last answer is AL(.125) NOW HOW CAN I FIND VALUE..

[khangbanger]

my test isnt allowing calculator so how would i solve E^0.90 by hand??

[Leader.vladkz]

Why, in the second task, you devided both sides by 10000?

[pupu-if]

Scientific calculator not allowed in my exam how i find ERT value

[potatosalad-xntn]

What if it doesn't give me the rate?

[potatosalad-xntn]

Investment of 2, 700 is comp. Continuously for 10 years. What will be the total amount? Can someone pls help me solve this?

[qaqqootube]

sir if i devided 2 by 0.09 I got how you got 7.7?

[ArnicaSheaffer]

What if I am trying to find it for hours instead of years?

[mrmagoo-il]

Anyone from the U.K. studying Gcse to Further maths A level?

I recommend TLMaths website, it’s free. He is on YT but his web page is better.

Good luck in your exams guys.