Exponential Function Week 25 Lesson 3

Presentation

•

Mathematics

•

11th Grade

•

Easy

KEE CHIN HUI

Used 1+ times

FREE Resource

17 Slides • 11 Questions

Exponential Function Week 25 Lesson 3

By Dr Kee

Open Ended

2.71828182845904523536028747135266249775724709369995...

What is so "special" about this irrational number?

Type response here

REVISION

Open Ended

Name ONE difference between simple and compound interest.

Simple Interest Formula $A=P\left(1+rt\right)$

Compound Interest Formula $A=P\left(1+\frac{r}{n}\right)^{nt}$

Type response here

Draw

If you are earning 10% interest, compounded weekly, and your goal is have $3000 in your account after six years, how much will you have to initially deposit?

Draw

If you are earning 7% interest, compounded

The Constant, e

e = 2.71828182845904523536028747135266249775724709369995...

Replace this text with your title

Some text here about the topic of discussion

Let's Explore!

You will need your calculator for this task.

Use your calculator to complete this table.

e is an irrational number!

2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274274663919320030599218174135966290435729003342952605956307381323286279434907632338298807531952510190115738341879307021540891499348841675092447614606680822648001684774118537423454424371075390777449920695517027618386062613313845830007520449338265602976067371132007093287091274437470472306969772093101416928368190255151086574637721112523897844250569536967707854499699679468644549059879316368892300987931277361782154249992295763514822082698951936680331825288693984964651058209392398294887933203625094431173012381970684161403970198376793206832823764648042953118023287825098194558153017567173613320698112509961818815930416903515988885193458072738667385894228792284998920868058257492796104841984443634632449684875602336248270419786232090021609902353043699418491463140934317381436405462531520961836908887070167683964243781405927145635490613031072085103837505101157477041718986106873969655212671546889570350354...

Your task - find e on your calculator.

Can you?

Continuous Compounding

Draw

Circle the e on the calculator

Continuous Compouding

We now are able to simplify the continuous compounding of interest (n going to infinity).

Continuous Compouding

Draw

What will your bank balance be if you put $600 in your account and earn 5% annual interest, compounded continuosly, for seven years?

Hint: $A=Pe^{rt}$

# Quick Quiz #

Multiple Choice

Which equation describes your bank balance if $1000 earns 6% annual interest, compounded continuously, for 7 years?

$A\left(7\right)=1000e^{0.42}$

$A\left(7\right)=1000e^{0.06}$

$A\left(7\right)=1000\left(1+e\right)^{0.6}$

$A\left(7\right)=1000\left(1+e^{0.6}\right)^7$

Multiple Choice

Which equation describes your ending bank balance if $500 earns 9% annual interest, compounded continuously, for 3 years?

$A\left(3\right)=500\left(1+e^{0.09}\right)^3$

$A\left(3\right)=500e^{0.0027}$

$A\left(3\right)=500\left(1+e\right)^{0.27}$

$A\left(3\right)=500e^{0.27}$

Draw

What will be your bank balance if you put $1800 in your account and earn 4% annual interest, compounded continuously for six years?

$A=Pe^{rt}$

Draw

What will be your bank balanace if you put $3000 in your account and earn 2% annual interest, compounded continuously for 10 years?

$A=Pe^{rt}$

HOMEWORK

Please check Microsoft Teams

Poll

Let's reflect!

I can use the scientific calculator to evaluate interest.

I can tell the difference between simple interest and compound interest.

I can describe the constant e and how it is used in the continuous compounding of interest.

Exponential Function Week 25 Lesson 3

By Dr Kee

Show answer

Auto Play

Slide 1 / 28

SLIDE

Similar Resources on Wayground

21 questions

Statistics Hypothesis

Presentation

•

11th Grade

19 questions

Digital Classroom Expectations

Presentation

•

KG - 12th Grade

20 questions

Polynomial factoring review

Presentation

•

10th - 12th Grade

21 questions

Argumentative Text Structure

Presentation

•

11th Grade

20 questions

Analytical Exposition Text

Presentation

•

11th Grade

21 questions

Solving exponential equation using log

Presentation

•

11th Grade

22 questions

7.5: Fuel Costs

Presentation

•

11th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade

22 questions

Identify Vertical and Horizontal Translations

Quiz

•

9th - 12th Grade

10 questions

Graphing Inequalities on a Number Line

Quiz

•

9th - 12th Grade

17 questions

Identifying Parallel And Perpendicular Lines

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

18 questions

Parallel lines cut by a transversal

Quiz

•

9th - 11th Grade

14 questions

Evaluate Linear Functions and Their Applications

Quiz

•

9th - 12th Grade