Algebra 96 Exponential Functions and Compound Interest

Exponential functions were first explored by the Swiss mathematician Jacob Bernoulli in sixteen-eighty-three, as a way of computing "continuous compound interest". When computing accruing interest and principal with continuous compounding, the compounding periods can be thought of as being infinitely short, with the increase in principal approaching the theoretical upper limit. In Bernoulli's quest to determine this upper limit, his research led to the development of the exponential function whose base is the constant "e", also known as "Euler's number". In this lecture, we use algebra to calculate compound interest with increasing shorter compounding periods, and show how this upper limit is approached.

[@devrakkasi1903]

My dear respectable professor, it's good to see you. Thank you so much for giving us content. A lot of love from an Indian student.

[@Groundsquirrel8]

Wow! Thank you Steve Goldman and Mark Rodriguez for your time creating yet another great animated algebra lesson.

[@dylanwishart1893]

Was literally JUST learning about Euler's number and how it was discovered from compound interest so I'm so glad there was a WhyU video to supplement my learning. Massive props to you guys for continuing this series for so many years. Eager for your next video!

[@hydrilara]

How many videos are left to complete this series according to your channel? I mean how many videos that you have to do to complete this algebra series?

[@Dinamani1]

It will be useful for our 6th generation don't worry

[@hydrilara]

@@Dinamani1 I want this channel to complete this series altogether and wrap it up, so people can rely on this lectures to complete their algebra course. They are running this series since my childhood but still didn't complete yet. On one hand, I am glad they are still continuing this series but on the other hand, I am not satisfied with the delayed upload schedule of these videos.

[@Dinamani1]

Apart from that sarcastic reply , I have been watching this for many years. , and I got married later my son is in 6th grade now. Still this series is not completed. 😂 I stopped relying on this and taught my son on my own.

[@MyWhyU]

@@hydrilara ​- Hello Hydrilara. We agree that these animated lessons take quite a bit of time to produce. I'm sure that you would be amazed how much work goes into researching, writing, animating, re-writing, re-animating, recording, reviewing, and so forth, to publish each animated video. But Mark and I are so happy that millions of folks around the world are benefiting from this work. - Steve Goldman (Professor V.S.)

[@hydrilara]

@@MyWhyU your videos are of very high quality, appreciate your efforts. i learned a lot of stuff from your videos. hope you complete these series in the very future, so that students across the world, can use these course as a complete home school curriculum for their home schooling kids.

[@vinh5049]

the video style ... so nostalgic

[@melanielove7520]

Timeless!

[@abshariadam]

Waaaaaah lezgo!!

[@Marinealver]

Line Go UP!