# Exponential and - PowerPoint PPT Presentation

Loading...

PPT – Exponential and PowerPoint presentation | free to download - id: 578cb3-N2Y4O

The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
About This Presentation
Title:

## Exponential and

Description:

### 3.5 Exponential and Logarithmic Models n compoundings per year Continuous Compounding An investment is made in a trust fund at an annual percentage rate of 9.5% ... – PowerPoint PPT presentation

Number of Views:21
Avg rating:3.0/5.0
Slides: 6
Provided by: BryanHig
Learn more at: http://www.bryan.k12.oh.us
Category:
User Comments (0)
Transcript and Presenter's Notes

Title: Exponential and

1
3.5 Exponential and Logarithmic Models
n compoundings per year Continuous Compounding
2
An investment is made in a trust fund at an
annual percentage rate of 9.5, compounded
quarterly. How long will it take for the
investment to double in value?
Divide by P
Take the ln of both sides.
Move the 4t out front.
3
Do the same example using compounding
continuously.
2P Pe.095t
Time to Double for Continuous Compounding
2 e.095t
ln 2 .095t
Rate needed to Double for Continuous Compounding
4
• Carbon 14 C14 has a half-life of 5,730
years. If we
• start with 3 grams. How many grams are left
after
• 1,000 years
• 10,000 years

Decay and Growth are modeled after the
equation A Cekt
C the initial amount k rate of growth or
decay t time
First, we need to find our rate k.
Note it takes 5,730 years for 1 g to become a
half a g.
5
a.
b.
About PowerShow.com