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‹#› ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/master05.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0001.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
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Function
The Exponential Functions
Special defintions of exponents:
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0022.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D
 
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0023.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0023_image002.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRwAfAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBE AB0AgAAAAP///wKphI+py+0bwpu0WhPl3bzmDobKJ5ZgZI6pg65H6yYt+XawdbNaDmjbzBtlfA1U kIgbBiFLhBGJ+Q1tTQxNBmVMq1Gh7urMCn3cHlPXE5dzT/W5KFmWmdVsE6glg7F7LB9ulWc1RZf2 cNMXqOhFsiYWpsQSlkfjOKH0aDZJp5c5uAIlV+n5QkphpwYztxjDCvnpYRpytLNa2rpJyWFLhWvo 6wrsKys8W+xSAAA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0031.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1
Example:=
8= 0 =3D 1
 
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0033.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
Example:=
8= 0 =3D 1
 
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0035.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
bK
1
Example:=
8= 0 =3D 1
 
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0035_image003.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0036.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
bK
1
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        
 
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0036_image004.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0089.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
bK
1
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        =3D
 
82
1
64
1
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0089_image005.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0089_image006.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP/MAAIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0089_image007.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAf AAEAgAAAAP/MAAIFjI+pewUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0032.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
b  =3D
K
N
bK
1
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        =3D
 
82
1
64
1
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0032_image008.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP///wIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0032_image009.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0032_image010.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP/MAAIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0032_image011.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAf AAEAgAAAAP/MAAIFjI+pewUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0032_image012.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSwBLAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAgBG AEUAgAAAAP///wLwhI+py+0Qnpy0noBvtrw3HEEgsnkmNYKberZPuqqhS2tyydZMLt3irOuFgKSL KNiaEY2/I9IzXBoyvmcncgOyRtarD8ft7qRMJ4REFpt36LDaUfok3O/xJF1Ha1D4/JEO15cn4xdE WKjDg+jCBbhokSX4+OE4aXmJmam5ydnp+QkaKjpKWmp6ipqqusra6voKGys7S/smOZqVGnnLEUeD tddVCbUmVnUSU3eYFGw8nMTbixUNSV2xjPR8p3D85Ei0G16c7esUvtssLHWcgz1OvqT4E1Vc7m03 N/1nb1lONS0Pk7122hYNBMOvHxlrLQoAADs= ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0037.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
b  =3D (Ö b )
K
N
K
N
bK
1
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        =3D
 
82
1
64
1
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0037_image013.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP///wIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0037_image014.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAP///wIEjI+pVgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0037_image015.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0037_image016.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP/MAAIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0037_image017.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAf AAEAgAAAAP/MAAIFjI+pewUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0038.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
b  =3D (Ö b )
K
N
K
N
bK
1
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        =3D
8  =3D (Ö 8 )
 
3
2
3
2
82
1
64
1
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0038_image018.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP///wIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0038_image019.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAP///wIEjI+pVgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0038_image020.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0038_image021.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP/MAAIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0038_image022.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAP/MAAIEjI+pVgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0038_image023.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP/MAAIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0038_image024.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAf AAEAgAAAAP/MAAIFjI+pewUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0039.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
b  =3D (Ö b )
K
N
K
N
bK
1
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        =3D
8  =3D (Ö 8 ) =3D 4
 
3
2
3
2
82
1
64
1
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0039_image025.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP///wIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0039_image026.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAP///wIEjI+pVgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0039_image027.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0039_image028.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP/MAAIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0039_image029.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAP/MAAIEjI+pVgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0039_image030.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP/MAAIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0039_image031.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAf AAEAgAAAAP/MAAIFjI+pewUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
b  =3D (Ö b )        = ;            &n= bsp;   b    =3D = 3;
 
K
N
K
N
bK
1
K
N
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        =3D
8  =3D (Ö 8 ) =3D 4        = ;      
 
3
2
3
2
82
1
64
1
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030_image032.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP///wIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030_image033.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAP///wIEjI+pVgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030_image034.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030_image035.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAP///wIEjI+JBQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030_image036.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAJ AAIAgAAAAP///wIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030_image037.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP/MAAIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030_image038.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAP/MAAIEjI+pVgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030_image039.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP/MAAIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0030_image040.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAf AAEAgAAAAP/MAAIFjI+pewUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
b  =3D (Ö b )        = ;            &n= bsp;   b    =3D (       )&#= 13;
 
K
N
K
N
bK
1
K
N
K
N
 Ö b
1
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        =3D
8  =3D (Ö 8 ) =3D 4        = ;     
 
3
2
3
2
82
1
64
1
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image041.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP///wIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image042.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAP///wIEjI+pVgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image043.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image044.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAP///wIEjI+JBQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image045.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAW AAEAgAAAAP///wIEjI+pUQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image046.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAJ AAIAgAAAAP///wIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image047.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAg AAEAgAAAAP///wIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image048.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAP/MAAIEjI95BQA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image049.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAP/MAAIEjI+pVgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image050.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAg AAEAgAAAAP/MAAIFjI+piwUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0040_image051.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAf AAEAgAAAAP/MAAIFjI+pewUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0041.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
b  =3D (Ö b )        = ;            &n= bsp;   b    =3D (       )&#= 13;
 
K
N
K
N
bK
1
K
N
K
N
 Ö b
1
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        =3D
8  =3D (Ö 8 ) =3D 4        = ;          8    =3D (       )&#= 13;
 
3
2
3
2
82
1
3
2
3
2
 Ö 8
1
64
1
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The Exponential Functions
Special defintions of exponents:
b0 = =3D 1        = ;            &n= bsp;         b -K =3D =
b  =3D (Ö b )        = ;            &n= bsp;   b    =3D (       )&#= 13;
 
K
N
K
N
bK
1
K
N
K
N
 Ö b
1
Example:=
8= 0 =3D 1        = ;            &n= bsp;         8 =3D        =3D
8  =3D (Ö 8 ) =3D 4        = ;          8    =3D (       ) = =3D 1/4
 
3
2
3
2
82
1
3
2
3
2
 Ö 8
1
64
1
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The Exponential Functions
For decimal-exponent, we write the decimal as a = fraction= and use the radical definition.
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0078.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
For decimal-exponent, we write the decimal as a = fraction= and use the radical definition.
Example:
101.22 = =3D 10     =
122=
100=
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0078_image082.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAb AAEAgAAAAP/MAAIEjI+pWgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0079.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function
The Exponential Functions
For decimal-exponent, we write the decimal as a = fraction= and use the radical definition.
Example:
101.22 = =3D 10     =3D(  Ö10 )122
122=
100=
100
------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0079_image083.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAb AAEAgAAAAP/MAAIEjI+pWgA7 ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0079_image084.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAEAgAAAAP/MAAIFjI+pywUAOw== ------=_NextPart_01C82DF7.3EB042D0 Content-Location: file:///C:/6E8AA2D4/3ExponentialFunctionandCompoundInterest_files/slide0080.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" The Exponential Function