100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Solution Manual for Financial Management for Public Health, and Not-forProfit Organizations 7th Edition by Finkler, Calabrese, Consists of 15 Complete Chapters, ISBN: 978-1071835333 $18.99   Add to cart

Exam (elaborations)

Solution Manual for Financial Management for Public Health, and Not-forProfit Organizations 7th Edition by Finkler, Calabrese, Consists of 15 Complete Chapters, ISBN: 978-1071835333

 5 views  0 purchase
  • Course
  • Financial Management for Public, Health,
  • Institution
  • Financial Management For Public, Health,

Solution Manual for Financial Management for Public Health, and Not-forProfit Organizations 7th Edition by Finkler, Calabrese, Consists of 15 Complete Chapters, ISBN: 978-1071835333 Solution Manual for Financial Management for Public Health, and Not-forProfit Organizations 7th Edition by Finkler,...

[Show more]

Preview 10 out of 217  pages

  • October 15, 2024
  • 217
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • solution manual
  • financi
book image

Book Title:

Author(s):

  • Edition:
  • ISBN:
  • Edition:
  • Financial Management for Public, Health,
  • Financial Management for Public, Health,
avatar-seller
lectmaggie



234567382 85 4



!""
#$%&
' 
()*
%
+,,-*
.% 

, 012345689 42540 534




!
 
"#$%&'($"&#
$&
)"#*#"*+

,*#*-.,.#$
/01
234153'216011234

!7!8)24
462
9:
4
;:4
21
10<1
35:
4
;:4



53601134;4

24;524
462
92453:

234



6
42:
3=>62123418$>6212341
324
>
3?
>
62=24;
=
2301;3
9135

3;
42@

234?29:
24

2424;
1

215
6
3A524
462
912
0

2348)24
462
9:
4
;:4
463:

111

<3
>

135
66304
24;
4>524
468

!7B8"4CDECDFGHIDJK3537
352
K3;
42@

2341K
404>9A24;;3
921
3:
L2:2@
?
9
35

3?4135
3;
42@

2348

!7M8"4
0<9261=263;
42@

2341K>6212341
324
>
3?
>
62=24;
=
2301;3
9135

3;
42@

234?29:
24

2424;
1

215
6
3A524
462
912
0

2348

!7N8*66304
24;21
1A1
:53O
24;

6O35
524
462
91


0135
43;
42@

234
4>
524
462
9
109
1352
1
6
2=2
218"

135
4<45 >
3
1
9
4;0
;35<0124118$=36
<09
A
01><A
66304
24;21
9
4;0
;35434<0124113;
42@

2341
1?998

!7P8*66304
24;2110<>2=2>>24
3
?3:
Q3

1RSITIUGDFIVWIXXEYTHFTUW
4>ZFTITXFIVWIXXEYTHFTU8
,
4
;2
9
66304
24;9

1
3;4

24;
4A524
462
92453:

234


:
4
;16
401
3
2:
3=
50
0109
135
3;
42@

2348$2124690>1
642[01>12;4>
3;4


4A
524
462
9>





:2;
9
:
4
;1:
O:3556
2=>62123418,
Q3
1
6
135
:
4
;2
9
66304
24;9


3:
O24;524
462
9
9
4153
3;
42@

234K2:
9:4
24;
31

9
41K
4>
4?3O24;
3410




9
41

62=>8\3:L
:
9135:
4
;2
9

66304
24;24690>


24;
440
93


24;<0>;
1K;4

24;2453:

234530124:
O24;
:
Q324=1
:4
>6212341K
4>
3=2>24;
>


4>>
3>62>?

3<0A39
1

:
Q3
2635[02
:4
8)24
462
9
66304
24;
3=2>1
31
6
2=2453:

2348*1=4
1




=524
462
92:
926

23413660
A
63>><A
524
462
9
66304
24;1A1
:8)3:
2:
3

2:]010
99A:34
9AK[0

9AK3
440
99A^K
63>>>



10::
2@>
4>
3
>
3
24
1
>0118$01124690><3
24
4
9:
4
;1
4>
3
930
12>
3;
42@

2348
$3130
12>124690>
31?3
=94
3:2;
94>:34A
3
3;
42@

234]XDG_FHED`^K

31?3:2;
199
24;1
3
3;
42@

234]6
99>10

9213aGT_ED`^K
4>3
24
1
>



218$124
1
>


21:
A24690>
31?2




2609
24
1
24
0<9261=26
3;
42@

2341K106
1;09

31K9;219

31K
4>62
2@418)24
462
9
3
1
3=2>2453:

23434

524
462
91


0135
3;
42@

234


1
62526
324
24
2:K
1?99
1
3
24;


1

109
135
bcdefgheigbfjk3


2341]288K3??92

1>3453:
524
462
9=2?
324
^8

,

234567898 8 9897  98   987978 789879 



!"#$%&'((($($")*+
,,)*,)

(%*#)-(%
$
'($(,.*/+(
*")(%*#)-(%&
'
'(
*)!
0

*"
..#$()
'%'(
$!51
$$
*2"
-(3*.3(%
'("
-
.+
)4(
%5%#-'
%%
*-4

$
*$+
)4(
%6
'

,)*3$(
+(
%
*!(()

!"#$%"*)*)!
0

*%5

23758(%59-'(3!
'(!*
.%*"
'(*)!
0

*)(:#)(%"
-
.,.
!5;
-
.+

!(+(

,)*3$(%<=>?@ABC<?=D"*)+

!()%
*#%(+
4!
'()EFG<H<?=H51
'(.,%+

!()%
/
,)*3$!"*)+

**
'(.4(./"
-
.+,
-
*"(
-',)*,*%($
.
()

3(51

.%*,)*3$(%
"*)+

*

*#
"
-
.%


.
/2(""-(-/2
$(""(-
3((%%5

23I5J.(
)./2&(+!'
(K,(-
%*+(,#
.-%()3-(*)!
0

*%
'


)(,)*,)(

)/2%#-'
%%*+(
'*%,

.%2
*(
),)*"
%5L#
&'



*#
*
'(),#
.-%()3-(*)!
0

*%%#-'
%-'
)
(%MN'(/
%'*#.$+
4(
,)*"

%&(..5O)*"
%,)*3$(
%
"(
/+
)!
!
%
#(K,(-
($-*%
%2,)*3$(
)(%*#)-(%
*)(,.
-(
#.$!%
$(:#,+(
2
$
*(K,
$
$+,)*3(%()3-(%5

23P5;($()
.!*3()+(
5%((
(K
;!#)(2326
QR 1$ 3$#
.-*+(

K(%
QR S*-
.%#)
-(

K(%
QR J*) ,*)

(-*+(

K

S


(
$.*-
.!*3()+(
5%((
(K
;!#)(23T6
QR S
. (%
$!)*%%)(-(,
%

K
QR ;($()
.!*3()+(

QR O) *,()
/

K(%
QR 1$ 3$#
.-*+(

K(%

U(
.
'%(-
*)5%((
(K
;!#)(2346
QR O) 3

(%#)
-(
QR V($ -
)(
QR V($ -
$
QR 
'()!*3()+(
,)*!)
+%

W*
3"*)3,)*"
%(-
*)5%((
(K
6
QR O) 3

(,
/+(
%"*)!**$%
$%()3-(%
QR X*3()+(
,
/+(
%"*)!**$%
$%()3-(%
QR Y*

*%

232Z5;($()
.!*3()+(
%,($!(K-(($($[4
)..*\Z\Z
$%


(
$.*-
.!*3()+(

%,($!&
%+*)(
'
[]
)..*\Z2I51-*
)
%
2
'(XYO&
%[\2
)..*\Z\Z5;*)+*)(
#,
*$

("*)+

*2(K
+(
'(%


%
-
.


.(%*"
'(+*%
)(-(
^-**+-_(,*)
*"
'(
O)(%$(
2&'-'%
3
.

.(*.(5

23225N'()(,*)
($%#),.#%-.#$(%
*
'*
$*""
#$!(

(+%5S*-
.%(-#)
/

K(%)(,)(%(

*""

#$!(

(+
'

#
.)(-(
./)
%($+*)()(3(#(
'
&
%%,(
*%*-
.%(-#)
/,
/+(
%5

, 012345689 42540 534 



!


"#
$"

%%
&''
$
&$
(&)#*#$
!&


+
%#,
)#


!$,
"#
%#
&)%!!


!


'&

$
',%!
(&)#*#$-
"

"

#&
!&#(
$
.%
+
%#,+
&)
$"*+
$

$
'
#,

&
.

/"!!
0


,



$&
&)",
0#'"$
-
1

$
',%!
(&)#*#$
/"!!
#&$
%)
%..


$&
$
2.



&
.

'&*


&."%!

.
"$3+
"$
/"!!
%)
$&
0&&/
%#,
"#.%

$
$&$%!
!)!
&'
',%!
,0$+

#!


)#


&


#,"#(
%
.%#(,-



4546-
7&*$"*

("'$

.&*
/"$

$"#(

%$$%.,-
8'
$
.&#,"$"&#

&'
$
("'$
.%$
%
0
,#
$%$
$

&(%#"9%$"&#
,&

#&$
/%#$
$&
%..$+
&

&*&/
:
"

$
&(%#"9%$"&#
$&
/&;
"#
& &
"$"&#

$&
"$

*"

"&#+
"$
*"($
$
#
,&/#
$
("'$-



454<-

=&!,
>%#;
%

,'"#,
?@A

%

B")%$
&(%#"9%$"&#

$%$




%.$")"$"

$&
!")



''"#(+
&*&$
$
"#$
$

&'
$
&&+
&$.$
$
#)"&#*#$+
&)",
0%
".

&."%!

)".
+

&

#,$%;
.&**
#"$3
,)!&*#$B
C=&!,
>%#;
A %$"&#%!
D".$")
4E-FGH-
?@A

%
:
"$


"*"!%
$&
$
#&$5'&5&'"$
&(%#"9%$"&#
-
3
%
"*%"!3
*"

"&#5'&.

,
%$
$%#
&'"$5



'&.

,-
?@A

'%!!
"#$&
$
*%"#
.%$(&"
I
.&**
#"$350%
,+
#%$"&#%!+
%#,
"#$#%$"&#%!-








J% $
6
KL1??8?@




MAN

7OJJP77I



>OD@P8?@

Q

$"&#

'&
D"
.


"&#



654-
K!%##"#(
!

$
&(%#"9%$"&#
03
.%

"#(
"$

* !&3

$&
$"#;
%%,
%#,
%#$"."%$
.%#(-

"

"

,&#
03

$%0!"
"#(

."'".
(&%!

%#,
&0R.$")
+
.&**
#".%$"#(
$&

&0R.$")

$&
$

"#,")",
%!

/&
*

$
%.")
$*+
'&.%
$"#(
'
$

)#$
+
,)!&"#(
%!$#%$")
+

!.$"#(

'&*
%*&#(
%!$#%$")
+
%#,
.&&,"#%$"#(
%.$")"$"
-

%.$")"$"

%


**%"9,
"#
%
,&.
*#$

.%!!,
%
0
,($-

0
,($
,
."0

/%$
/
& 
$&
%.")
%#,
$

&
.

$%$
/"!!
0



,
$&
.%3
&
$
$
STUVWXYVZXSW[\
%.$")"$"
-



656-

STUVWXYVZXSW[\]^X\\XSW]T_`T_\_WZ\]XZ\]T_V\SW]aST]_bX\Z_Wc_d]eST]`fghXci]j_VhZji]VWk]WSZ5'&5
&'"$

&(%#"9%$"&#
+
'"#%#.

&'$#
0.&*
%
*%#

$&
%#
#,+
%$
$%#
$
#,
"$
!'-
"

*"

"&#

.%##&$

&!!3
0
*%;"#(
&'"$
-
M"#%#."%!
*%#%(*#$
*

$
!
0%!%#.
$
'&.


&#
&'"$
/"$

$

0!".

)".
!*#$

&'
$
STUVWXYVZXSW[\
*"

"&#-



65<-
7$%$(".
!%#

$%#
!%$
$
*"

"&#
&'
$
&(%#"9%$"&#
"#$&
%#
% &%.
&

$
&'
% &%.


$%$
/"!!
0


,
$&
%..&* !"

$
*"

"&#+
%#,
%
0&%,

$
&'
(&%!

$%$
#,
$&
0
%$$%"#,
$&

%.")
$
*"

"&#-
7$%$(".
!%#


$
$
STUVWXYVZXSW[\]hSWU5$*
,".$"&#-
3
&'$#
,&
#&$


,
-
012345679  


! "#$
%&'(65))7*+*,
./01-23145654-657/745/8-9/:;192<-=>?101:@-9.1A-219-9.1-29/;1-6>:-9.1-23145654@-B19/581B-CDB;192-9./9-
?588-C1-129/C852.1B-9>-/4.5101-EFGHIJKLMNOLENIMPQ-;>/82<-
-
RST<-U.1:1/2-9.1-29:/91;54-38/7-129/C852.12-;>/82@-9.1-8>7;S:/7;1-38/7-4>725B1:2-.>?-9>-/4.5101-9.>21-
;>/82<-V>7;S:/7;1-38/72-129/C852.-9.1-W/X>:-/495059512-9./9-?588-./01-9>-C1-4/::51B->D9-57-9.1-
4>W57;-9.:11-9>-6501-A1/:2<-Y.52-3:>4122-857Z2-9.1-29:/91;54-38/7-9>-9.1-B/AS9>SB/A-/495059512->6-9.1-
>:;/75[/95>7<-\:;/75[/95>72-9./9-B>-7>9-3:13/:1-/-8>7;S:/7;1-38/7-/:1->6917-4>7B1W71B-9>->78A-
2D29/57-4D::179-/495059512@-/9-C129<-
-
RS]<-^DB;192-129/C852.-9.1-/W>D79->6-:12>D:412-9./9-/:1-/0/58/C81-6>:-23145654-/495059512<-=>?101:@-
CDB;192-B>-7>9-W1:18A-85W59-9.1-:12>D:412-9./9-4/7-C1-23179<-Y.1A-:13:12179-9.1-B19/581B-38/7-9./9-
2D33>:92-9.1-IJKLMNOLENIMPQ-166>:92-9>-/4.5101-592-W5225>7@-/7B-.183-9.1->:;/75[/95>7-B191:W571-/7B-
/4.5101-592-;>/82-/7B->CX1495012<-Y.1-CDB;1957;-3:>4122-52->71->6-1_38>:57;-3>225C5859512<-
\:;/75[/95>72-B191:W571-?./9-9.57;2-9.1A-4/7-/7B-4/77>9-B><-Y.1A-1_/W571-/891:7/95012-/7B-
4.>>21-9.>21-9./9-/:1-85Z18A-9>-A518B-9.1-C129-:12D892<-Y.1A-C14>W1-/99D71B-9>-3>225C81-3:>C81W2-
/7B-4/7-?>:Z-9>-657B-2>8D95>72<-^DB;1957;-6>:412-W/7/;1:2-9>-9.57Z-/.1/B@-9>-./01-481/:-
1_3149/95>72-/;/5729-?.54.-9>-W1/2D:1-31:6>:W/741@-/7B-9>-4>>:B57/91-9.1-/495059512->6-9.1-
>:;/75[/95>7-2>-9./9-101:A>71-52-?>:Z57;-9>?/:B-/-4>WW>7-3D:3>21<-
^DB;192-/:1-/82>-D21B-9>-4>79:>8-:12D892<-Y./9-52@-CDB;192-7>9->78A-4:1/91-38/72@-CD9-9.1A-/:1-
/82>-D21B-9>-.183-/44>W3852.-9.>21-38/72<-Y.52-52-B>71-CA-4>W3/:57;-/49D/8-:12D892-9>-9.1-CDB;19<-
V>>Z57;-/9-:12D892@-?1-4/7-/22122-?./9-711B2-9>-C1-4>::1491B<-=>?-;>>B-/-X>C-B5B-9.1-
IJKLMNOLENIMPQH`LMLKG`GMEHaIb-=>?-?188-B5B-9.1->:;/75[/95>7-592186-B>c-d7->:B1:-9>-10/8D/91-
31:6>:W/741@->71-WD29-./01-/-29/7B/:B->:-C174.W/:Z-9>-4>W3/:1-?59.-/49D/8-:12D892<-Y.1-CDB;19-
129/C852.12-EFGHIJKLMNOLENIMPQ-1_3149/95>72<-
-
RSe<-f7->:;/75[/95>7-W/A-4>725B1:-D7B1:9/Z57;-/7-/495059A-9./9-?/2-7>9-38/771B-6>:-?.17-9.1-/77D/8-
CDB;19-?/2-3:13/:1B<-f9-/7A-95W1-/7->:;/75[/95>7-4/7-3:13/:1-/-23145/8-CDB;19-6>:-/-23145654-
3D:3>21<-f33:>3:5/91-/33:>0/8-2.>D8B-C1->C9/571B-C16>:1-5W381W17957;-9.1-CDB;19<-
-
RSg<-hMHIJKLMNOLENIMPQHijaKGEQHLJGH>6917->:;/75[1B-579>-/-29:/91;54-38/7@-8>7;S:/7;1-38/7@-W/291:-
CDB;19@-/7B-23145/8-3D:3>21-CDB;192<-
-
RSk<-^DB;192-3:12179-23145654@-W1/2D:/C81-;>/82<-f7-57B505BD/8-52-WD4.-W>:1-85Z18A-9>-?>:Z-1665451798A-56-
9.1:1-52-/-9/:;19-9>-2.>>9-6>:@-/22DW57;-9./9-9.1-9/:;19-52-7>9-D7:1/852954<-
-
RSl<-m>29-1W38>A112-?>D8B-3:161:-2/8/:512-9./9-/:1-2DC29/795/88A-8/:;1:-9./7-9.1-/W>D792-9.1A-/:1-
4D::1798A-:1415057;<-\:;/75[/95>72-8/4Z-9.1-:1017D12-9>-3/A-6>:-9.>21-:/5212<-m>29-W/7/;1:2-?>D8B-
85Z1-W>:1->66541-23/41-?59.-71?-6D:759D:1-/7B-:1W>B181B-6/45859512<-Y.1A-?>D8B-41:9/578A-85Z1-W>:1-
29/66-9>-4/::A->D9-1_52957;-6D7495>72<-\:;/75[/95>72-WD29-W/Z1-4.>5412-4>741:757;-.>?-9>-2317B-9.15:-
85W591B-:12>D:412<-
-
RSno<-p1317B57;->7-9.1-23145654->:;/75[/95>7@-9.1-0>8DW1->6-21:05412-3:>05B1B-W/A-./01-38D7;1B->:-
2>/:1B<-Y.52-?>D8B-./01-:12D891B-57-2DC29/795/88A-W>:1->:-8122-:1017D12-9./7-1_31491B<-d6-
:1017D12-38D7;1B@-9.17-?1-?>D8B-./01-./B-W>:1-29/66-9./7-711B1B@-?59.>D9-9.1-:12>D:412-9>-
3/A-

, 012345689 42540 534 





!
"#
$!

%&'(
%&)
!*$!

&'!+,!-*#
&'.*!
%
,#
)!'
%'
%&)

-/*//!

0$!'
/


)!$!'&!

1!)!
&,2
1!
"#
$!
.!!'

-!(
1/

%)/'3
-%



%)
/!"

/'

%)

&,,*#
4
.&(3!
/



$!)#
/",%)'
%%*
5%1!$!)2
1!

%&*(
'!$!)


&"!

/
!**

&

!+-*#
1
1/**
,,!'

6'3!)

'!!(
%
.!

*!+/.*!2
%.
!)$!
!$!'


"#
-&
!
-&*
!$!'

%
(/

!)

)%"
!

.&(3!2
'(
.!
,)!,)!(
%
-
7&/-8*#
%
8!
"//3/'3
-/%'




9:;;

<
/

$!)#
!",/'3

%)

"'3!)
%

!!

/3'/
/-'
$)//%'


)%"
!
.&(3!2
'(
1'
%
)!$/
!

!
.&(3!
=!'!)**#
%'-!

.&(3!


.!!'
,,)%$!(
.#
!
3%$!)'/'3
.%(#
%

!

%)3'/>/%'
1!
(%
'%
3%
.-8
'(
)!$/
!
!
%

/-/*
.&(3!2
!$!'
/

1!

!!

/3'/
/-'
$)//%'



)%"
!
.&(3!
5%1!$!)2



"'3!)

)

%

!!


%"!/'3


,,!'!(
1/-
1/**

"8!
)!
&*

$!)#
(/

!)!'

)%"
.&(3!!(
!+,!-/%'
2
!
"'3!)


%
-
%
"/'/"/>!
!

'!3/$!
/",-

%

!
-'3!

%'
!
%)3'/>/%'
?%)
!+",*!2
/

#%&
"'3!

"&
!&"2
'(

!
'&".!)
%

-&
%"!)

%
#%&)
"&
!&"
-
@


,*&'3!(2
#%&
$!
%
"8!
(A&
"!'

%




/'3
'(

%%(
,&)-
!

%
"/'/"/>!
!
*%

!


#%&
1/**
/'-&)
<

)!$!'&!

)!
/'
&

/-/!'
%

,#
)!'2
#%&
$!
%
'!3%/!
1/
#%&)
*'(*%)(

%)

"%)%)/&"
%'
)!'
,#"!'

<

#%&

!!


!)!
/

'%
1#
#%&
-'
-%$!)
!$!'

!$!)!*#
)!(&-!(
-%


3/$!'
#%&)
()%,
/'
-&
%"!)

$%*&"!2
#%&
'!!(
%
7&/-8*#
3!)
&,

&'(:)/
/'3
-/$//!

%
.)/'3
/'
"%)!
(%'/%'

%
%


!

*%

!

/'

*!

B!
.&(3!
/


/**

$*&.*!
%%*2
.!-&
!
.#
-%",)/'3
#%&)
%)/3/'*

!+,!-/%'

%
!
-&*/#
#%&
-'
(!!)"/'!
/'3


&-


%1
"&-
((//%'*
(%'/%'

#%&

1/**
'!!(
%
8!!,
!
%)3'/>/%'

*%







9:;9
B!
"'3!)

%&*(
"8!

&)!

/
/

/'
!
CDEFFGC
.!

/'!)!


%
(%
!
/'3


)!
/'
!

HIJEKLMEDLHKGCN.!

/'!)!


B!
8!#
/

%
!
.*/


"!'

%

"8/'3
!
'%)"**#
(/$!)3!'

(!
/)!

%

!
%)3'/>/%'
'(
/

!",*%#!!

.!-%"!
-%'$!)3!'2
%)
-%'3)&!'
O)3'/>/%'


%
!'
-/!$!
-%'3)&!'-!
.#

!/'3
&,


#
!"
%

/'-!'/$!




9:;P
QLKEKRLESNLKRTKDLUTCNLKRSVWTNITDELKLKJNHKTGCNXHYNEKWNITRTLULKJN3%%(
)/
!

'(
.%'&
!

Z%'&



#
!"

$!

$)/!#
%

,)%.*!"

[%"!
.%'&


#
!"

)!1)(
**
!",*%#!!

/


,!'(/'3
/


)!(&-!(
B/

/

3%%(
&'*!


1%)8!)

-'
)!
)/-
$%*&"!2
&

)!(&-/'3
!
'&".!)
%

&'/

%



!)$/-!
,)%$/(!(
/'
%)(!)
%

$!
"%'!#
[&-
.!$/%)
1%&*(
*/8!*#
)!(&-!
)!$!'&!

.#


3)!!)
"%&'
'
/
1%&*(

$!
-%


4*
%2
/

!$!)#%'!
3!


.%'&
2
!'
'%
%'!

!!*



/'(/$/(&*
-/%'

$!
"&-
/",-2
'(
!-
/'(/$/(&*
"#

!!*


!
%)
!
(%!

'%
$!
%

1%)8
,)/-&*)*#
)(
%
)!,
!
.!'!
/

%

!
.%'&

<

.%'&
!

)!
3/$!'
%'*#
%

%"!

!",*%#!!
2
/
"#
-)!!
A!*%&
#
'(
(/
-%'!'
<
/

*
%
,%

/.*!

/
"#
-)!!


-%",!//$!
!'$/)%'"!'
/'


/&/%'
/'
1/-
!"1%)8
/

'!!(!(
%
,)%$/(!
7&*/#
-)!



B!)!
)!
/'-!'/$!
*!)'/$!

%
.%'&
!
\

%)
!+",*!2

*!!)

)%"

&,!)$/
%)
%

&.%)(/'!

<'
!
)!*
1%)*(2
,)/
!
/

.%
-!,
'(2
/'
"'#
-
!
2
!

!-/$!
O'
!
%!)
'(2
-)//-/
"2

!
,!-/**#
/'
1)//'32
-'
$!


/'3/'3
!

!-

"'3!)

1/**
1%)8
)(
%
$%/(
/'
!


&&)!


,
-
012345679  


! "#$
%&'(65))7*+*,
./012-34-567895:-679-;<6=9>-?@5-?4-796=AB-;9?;<9-;7?C6C<D-EF<<-G?5-:5795=A-5?-5A9F7-@5H?:5-<FHF5:-5?-=?H9-
6:-=<?:9-5?-5A9-567895-6:-;?::FC<92-IA9G-;9?;<9-E?7J-9K579H9<D-A67>-6G>-5A9G-46F<B-5A9D-?459G-
L@9:5F?G-EAD-5A9D-C?5A979>-5?-E?7J-:?-A67>2-34-A67>-E?7J-79:@<5:-FG-46F<@79-5?-6=AF9M9-5A9-567895B-
5A9G-EAD-G?5-96:9-?44N-34-D?@-679-8?FG8-5?-46F<-6GDE6DB-H@:5-F5-C9-:?-;6FG4@<N-
-
./0O2-P0Q-RA9-C@>895-F:-4F7:5-;79;679>2-P.Q-S4597-79MF9E-CD-5A9-C?>D-EF5A-6>?;5F?G-6@5A?7F5DB-F5-F:-
6>?;59>B-9F5A97-EF5A-?7-EF5A?@5-=A6G89:2-PTQ-UG=9-6;;7?M9>B-5A9-C@>895-F:-FH;<9H9G59>2-35-F:-5A9-
79:;?G:FCF<F5D-?4-5A9-H6G689H9G5-?4-5A9-?786GFV65F?G-?7-5A9-9K9=@5FM9-C76G=A-?4-5A9-8?M97GH9G5-5?-
6::@79-5A65-5A9-6>?;59>-C@>895-F:-=677F9>-?@52-P1Q-WFG6<<DB-5A9-79:@<5:-H@:5-C9-9M6<@659>2-
S==?@G56CF<F5D-F:-6G-9<9H9G5-?4-5AF:-9M6<@65F?G2-
-
./0X2-3G-:?H9-?786GFV65F?G:B-:@;;?75-6G>-79M9G@9:-679-?G<D-6=JG?E<9>89>-F4-5A9D-A6M9-C99G-79=9FM9>-FG-
=6:A2-3G-5A?:9-=6:9:B-9K;9G:9:-679-79=?8GFV9>-EA9G-5A9D-A6M9-C99G-;6F>2-W?7-?786GFV65F?G:-5A65-
79=?7>-5A9F7-79M9G@9:-6G>-9K;9G:9:-FG-5A65-E6DB-5A9-=6:A-C@>895-E?@<>-C9-F>9G5F=6<-5?-5A9-
?;9765FG8-C@>8952-RA9D-679-:6F>-5?-@:9-6-YZ[\]^Z[_[]`a]ZYY`bcd_ce2-3G-=?G576:5B-F4-79M9G@9-F:-
79=?7>9>-FG-5A9-D967-5A9-:97MF=9-F:-;7?MF>9>B-EA95A97-=6:A-A6:-C99G-79=9FM9>-D95-?7-G?5B-5A9G-5A9-
?786GFV65F?G-F:-:6F>-5?-C9-@:FG8-6G-ZYYfbZg]^Z[_[]`a]ZYY`bcd_ce2-
h6:A-6==?@G5FG8-F:-96:F97B-C@5->?9:-F5-9G6C<9-@:-5?-@G>97:56G>-A?E-E9<<-?@7-?786GFV65F?G-F:-
>?FG8N-IF5A-6==7@6<-6==?@G5FG8-E9-6==7@9B-?7-6G5F=F;659B-5A9-9M9G5@6<-79=9F;5-?4-H?G9D-4?7-
:97MF=9:-;7?MF>9>B-6:-E9<<-6:-79=?7>FG8-9K;9G:9:-4?7-79:?@7=9:-=?G:@H9>B-9M9G-F4-5A9D-A6M9-G?5-
D95-C99G-;6F>-4?72-IA9G-6==7@6<-6==?@G5FG8-F:-@:9>B-5A9-?;9765FG8-C@>895-8FM9:-@:-6-8??>-F>96-
?4-A?E-;7?4F56C<9-E9-9K;9=5-5A9-?786GFV65F?G-5?-C92-i?E9M97B-F5->?9:-G?5-8FM9-6G-6==@7659-F>96-
?4-A?E-H@=A-=6:A-E9-EF<<-A6M92-
-
./0j2-k?>F4F9>-=6:A-F:-6-:D:59H-5A65-57965:-H?:5-79M9G@9:-6G>-9K;9G:9:-?G-6-=6:A-C6:F:2-i?E9M97B-
=6;F56<-6=L@F:F5F?G:-679->9;79=F659>-?M97-5FH9B-765A97-5A6G-6<<-C9FG8-579659>-6:-6G-9K;9G:9-FG-5A9-
D967-=6:A-F:-;6F>-4?7-5A9H2-
-
./0l2-RA9-C@>895-;7?=9::-=6G-C9-L@F59-=?H;<F=659>-6G>-5FH9-=?G:@HFG82-RA9-;7?=9::-H6D-56J9-?G9-5?-
5A799-H?G5A:-FG-:H6<<-?786GFV65F?G:-6G>-4?@7-5?-:FK-H?G5A:-?7-9M9G-<?G897-FG-<67897-?G9:2-3G-?7>97-
5?-6::@79-5A65-5A9-C@>895-F:-796>D-4?7-6>?;5F?G-:@44F=F9G5<D-967<D-5?-C9-FH;<9H9G59>-65-5A9-:5675-
?4-5A9-=?HFG8-D967B-H6GD-?786GFV65F?G:-;79;679-6-C@>895-=6<9G>67-?7-d_mng_cn2-o?M97GH9G5-
5FH9<FG9:-679-?459G-:95-CD-<6E-?7-798@<65F?G2-
-
-
p7?C<9H:-
-
RA9-9KAFCF5:-C9<?E-679-9HC9>>9>-qK=9<-?Cr9=5:2-s?@C<9/=<F=JFG8-?G-5A9H-EF<<-?;9G-6G-qK=9<-:;796>:A9952-
./0t-

, 012345689 42540 534 





 



!"#$%&"'&#
(")!$!#*+,-.../0



&''"1&23&#!#(")!$!#*4-...0

56!776!8#9"$)#$)()("&$!)7#&$$
7:)$
!"#$%&"-!$;##')7:<%&"'&#
(")!$9)12:
3*=-...
>
6!77;#')7:<%&"7:!7?'&#
3&2&7'9)12:3*4-...<8&'$2%$
#&@&@)17$&#$

A#$<%&";#&''"1&231:?$(":!'$:0
>
B''"1&23$$""2'$#$
2)7?<$"@#$&3!2!$%)$
)"?&7!C&$!)70


4<4.0D
E

,
-
012345679  


! "#$
- %&'(65))7*+*,
-
./.01-2345367-809-.:.:-;36<=>-?@AB=-CDE-F::-G4H=I-J3@5=K-88.L1L0-
MNA>=->O=-P36<=>-Q@AB=-J3@5=-A4-2341-80-RB->O=-J3@5=-3>->O=-B>36>-AS->O=-H37-A4-T=U65367-01-
V5W5B>-809-.:.0-;36<=>-?@AB=-CDE-F::-G4H=I-J3@5=K-XF..1YZ-
-
?O34W=-R4-CDE-F::K--XF..1YZ-[-88.L1L0-\-00]X1]L-
-
E=6Q=4>-?O34W=K-00]X1]L-^-88.L1L0-I-0::-\-8F1]_-
`4HAaP=4>-C>36>K-b0::-PR@@RA4-
`4HAaP=4>-?O34W=K-b0::-PR@@RA4-\-8F1]_-\-b8F1]-PR@@RA4-
`4HAaP=4>-̀4HK-b08F1]-PR@@RA41-
?@=36@79-A6W34Rc3>RA4B-aR>O-BRW4RSRQ34>-=4HAaP=4>B-a=6=-R4-3-dABR>RA4->A-B=@@-BAP=-AS->O=-W3R4B-A4-
>O=R6-=4HAaP=4>-AJ=6->O=-QA56B=-AS->O=-d34H=PRQ->A-O=@d->O=P-B56JRJ=-=J=4-RS->O=R6-6=J=45=B-a=6=-
H6AddR4W-BRW4RSRQ34>@71-
-
eOR@=-P347-A6W34Rc3>RA4B-5B=->O=-R4>=6=B>-34H-HRJRH=4HB-=364=H-A4->O=R6-=4HAaP=4>->A-O=@d->O=P-
d6AJRH=-P36WR43@7-PA6=-B=6JRQ=B-=3QO-7=369-34-=4HAaP=4>-3@BA-B=6J=B-3-JR>3@-B3S=>7-S54Q>RA4-SA6-
>O=-A6W34Rc3>RA49-d6AJRHR4W-3-dA>=4>R3@-3@>=643>RJ=-BA56Q=-AS-6=BA56Q=B->A-O=@d->O=-A6W34Rc3>RA4-
B56JRJ=-O36H->RP=B1-
-
./..-
-
fgh`364B-
iB=B-
*ghH=d6=QR3>RA4-
,ghQ3BO-A6-Q3BO-S@AaBj-A6->O=-S5@@-d6Ak=Q>-@RS=-

,  012345689 42540 534 



!"
#$%&'%("%
)$!*"!+
,"%"!

#&"!'%(*
-$.*"%



/$"
01









2

3,'&(%'4
566"%6
'.
7"&!"8('%(
9:&"6";

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller lectmaggie. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $18.99. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

82013 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$18.99
  • (0)
  Add to cart