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Math 106 hl rn^ Kirrfrvl I arr
Provide cfear explanations.^ Fo1Iow^ the^ Honor^ Code'
Exam March
Round
bo
I I 101
I aoi
26, 2009
/a\1. Sketch^ the^ graPhs^ for -10 < t
t"cl".tly indicate which graPh i-s
c
(q\r. (^) -x +^ 2y^ = 3'^ 4x^ +^ sY^ =^20 a) Sketch the graPhs of^ the b) Use^ the^ graPhs^ to^ estj-mat c) Sol-ve^ the^ sYstem.
r\ -tt^ *^ 8f^ "{\
/t, " st=)o^ --,
t3V=3i (^1) 7=
t%t
-lre-t^3;f,.f;
lP''#'aO)4=f,
(Z) s.^ The^ Richter^ magnj-tude^ of
A 6.8 magnitude^ is^ how^ manY
which.
(-t0)
an earthquake is times i-nLense as
-&'*a
( o,t)
equations.
e the solution.
rs g\
\ t3) t7/
-z^ -t
(t\
the logarithm of its^ intensitY'
a 6.3 magnitude?
to $49.16. What^ percentage^ was^ the^ reductj-on?
U\t.
A coat has^ been
{ = 5f,?f
F
2 t/?,^ /h
answers to the^ nearest.^ hundr-edth'
y'D ltu
t_
#.t:
yPo's-a't = P''m
marked down^ from^ $59.
F- 5
NE A =pMT (^) [(1 +^ r/n)^ - t]/^ (r/n)
- Sol-ve for x: x a)2000 = 1000(1.0025^ ); b)x^ =
^)
?= ('t,oo>5\l
hfl'= (^) + b{ t,oo^
zg) v
,f,= 4e
/ /if(^ 1,002,
: .301^ /.00108W
- PMf^ =^060 )
.f : (^) ,0t )
o,, (^) lZ l
rt' /O,^ Ft^'/^ f
P( t^
, #)''o '^
/o ool^
( (^) t'
''?i )''o-
tJ (^) /(+il
47/r;
F=d-= /03,6F/'
, t F
L) X=^
/00tryO?'.r
2,03t (^) a =/Z (^) , t=2'^
F';/P/47'
' ioo (^) )o0o= Pntl(t'#)'"^
-'1/f'E)
looo(1 (^) - 1.oorr-t'o/.0025; c)^ loo,ooo^ =
((r)
'0 3,^ f^ 6l^ ,7f
tzo ,l c) (^) rt,= (^750) / Ll002t
77 7,bl
r-E
=LltE,Ltl
6yecK
lo (^) 0o (t,ooz^ s\27'er
l,\ 4 ,^
,1, lyE [-l- I.Otri'*J
(^7) r''0 - 4/,0 ozs
CFECK
^
Ttg,blll,oa
: (^) 4000,0>
tUA. Give an equation which^ sol-ves each^ of the following.^ Do NoT sol-ve.
a) How^ large^ a^ morEgage^ can you^ take i-f^ you^ can^ afford to^ pay^ $1000^ per^ month^ at^38
monthly for L0 years?
b) How much^ must you^ deposit^ each month^ at^38 compounded^ monthly^ in order^ Lo^ have^ a
$100,000 after^10 years?
c) If you^ invest $1000 at^38 compounded^ monthly,^ when^ will^ your^ balance^ be^ $2000?
7d.", (^) fr=
47.,
F nT^ ' 4
: /{,6 I
c) P=/060 (^) )
e o 20 '-^ loro
A=2AdA (^) ){*="03;
(t* (^) 4*)"
h =^ )72.6t/tz^ =
.?t=/z (^) fd/t
'1,
x(1.0025 - tl/.
= /o 0)drd.rc
compounded
bal-ance of
e3,/ (^3)
