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Unformatted text preview: Name Jﬂ mm Data: #ng a? 56 CEE 3000A: CIVIL ENGINEERING SYSTEMS
Homework 3
Spring 2000
Assigned: 33’23'00
Due: ENNIS 1. Find the missing values [2 points each) i: 5 '34}
$1,000 51.0 0 20 $2,000 P = $400 $2,191 P= $1,000 LIBJCIS— ﬂags?)
1/ . [a
(21') ID 5 KCJC'JC! (P/Hr 553(5) 1 {Doc (Pfogruflc) = 6*3215“ + 37(5‘3
: ‘5‘»9LOG'9L mama)“
{m 5:5.) n. m A, (,H)
mfg/p") 4’» (Zane/#003 dug— =20‘5
m = = =
{in (MD Cm (Ii0'63.) ['08 admrn.
(3.5) F=PCr+EJM
5g, = 0+5)“
H .
= ffL :20
f3 a; / ‘32:;qu / = Mm “I =ﬁa§_;
_ ' "" a
C .1 1: {man run0541 "5“; A=? 12345 P = $ 10,5110 (a?) {5,500 : HAD/,4! $52,305) :1 {E3
’4 («S—0:} 5 (0,300 : ﬁéé—‘E‘S'LO/ary
(PEI?! are, (:9 6991)? __w (a) ,6 rims, (M4; £5, 5) + stem (PM, Edgar)
z _ 5333105 4~ 33650;; = £¥,$€5{..L;ZLS*
b/ .EEPBFQ J: ~" FOE/1'5! 3a,! H) = élﬁ'ﬁéz’gag (£335)
a
= 5&5 GR 5'6“”? 1:? a 6306
HE. E:
f3 :‘ 35:30 ( Fiﬁ ; 91m 5) + Shem (FD/A, 32:95) (FIFE $21,?) :' 1?;S'Erf.gri N
33%;:
{,2 F = PCP/g emf“)
J
= 64,293 2. Answer the following questions (5 points) (a) Three new corridors in a regional highway,I network are expected to open a new area
for tourist trade 6 years from now. Your client expects to construct a Slﬁﬂdﬁﬂﬂ
facilit},F at that time. She has funds available now that can he invested at 'i'% percent
compounded annually. Howr much should she invest in order to have the $1,530,130!)
available at the end of 45 years? (b) Your client has LEIGH acres of “average" residential development—type land now
worth $3,2ﬂﬂ per acre. What should it be worth in 6 years if it appreciates at the rate
of 5% compounded annually? u LEM 3. Two alternative proposals are being evaluated by a local consultant. The interest
rate is 4% per year and all annual payments occur at the end of the year. Which
of the two proposals is better? (Hint: Note that the useful lives of both projeets are not equal). [5 points) Proposal A: Initial eost: Eﬁﬂﬂﬂﬂ
Operations and maintenance costs: $lﬂﬂtle’vear Salvage value: None at EOY 3 Proposal B: Initial Cost: 5135,1103
Operations and maintenance costs: $1,2ﬂﬂ per year Salvage value: 313% at BUY 5 (a) ll): Hm A}; 0360 '
M 31:1 = Emma, 4&3) + H;
7“ $151828+ Lama d
:' ’9‘:qu gig/«ﬂy L/{ﬂ‘ﬁﬁ‘Fé d~3€1ﬂ3 D'Iﬁﬁé ° 6) a, I!
_— 195:: (we. 453(9) 4» ma —5k(F/F;4La;é)(4/f;4ru, = 2%?S;~G+ r900 —— 753??) =ﬁgzeafweaea/3V
MM 5% _
’3‘” > Cam (LS/13f) ——__
.u———. 4. A new multimodal bridge linking a mixed use development with a transit station
has a life expectancy of 25 years. Considering rising construction and other costs,
a replacement bridge at the end of that time is expected to cost $4.5 million. The
bridge is expected to have an average of EDUJJDU toll paying vehicles per month
for the ﬁill 25 years. At the end of every month the tolls 1vvill be deposited into an
account bearing interest at a nominal interest rate of i = {5% compounded
monthly. What should the toll per vehicle be in order to accumulate $4jSﬂﬂ,Dﬂﬂ
by the end of 25 years, not taking into consideration the operating and
maintenance costs (because these are budget items that are covered from another
ﬁlnding source)? [5 points] MH:$—aﬂ'ﬁ:¢mﬂ A=? F:4§w
w=3wm 5 — dwarf/M
A: 7;.— A (Kirﬂnwj
"' 1E6 —' 6+6)” / 45m 55315:), can {a was?) (3.0:: E 3E: 3546356 _= = 2350's — 3 9MB?
éfdﬂBSE: i” :9 5122 #./m , . Acquiring an electric generator facilityr will cost a small town $6ﬂﬁ,ﬂﬂﬁ. It will cost approximater $5,ﬂﬂﬂfyear to maintain the facility. The facility is expected
to operate for the next 5t} years. The interest rate is T941. (5 points} (a) 1What is the present worth of the capital and maintenance costs of the facility? 0:] What is the EUAC (equivalent unifenn annual cost} of the facility over its
usefuI life? {c} If the facility' provides electricity for aplpt'trotimatel},r lﬂﬂ hoHSeholds, what average annual fee per household will cover the capital and maintenance costs
of the facility”!' —" «Wagingm / 5‘02??? C6) .4:— Mar/P $5; 51)
= 669; m2. :1) 65$?29Le.) ”tars, WW (:5) ﬁmh/ Hug/D a: = 45%: ENG/gr
An: M3: = 39‘S’ﬁt’v7mg‘w 6. A leﬁrturn lane can he installed at an intersection at a east at $350,{lﬂi}. With this
new turning lane, each vehicle going through the intersection is expected to save
an average of $t}.ﬂl due to time savings and reduced accidents costs. Trafﬁc for
the intersection is estimated at 12,tl[l[l vehicles per day every day of the year. (a) Hon.r many years will it take for the savings to amortize the cost of the
improvement? The inteIest rate is 6%. The amortization costs are the
equivalent annual costs necessary to repay the loan. (5 points] {b} You notice that only capital costs have been considered for the toll facility.
The project engineer estimates that maintenance ccsts are expected to average
at $3,5tltlfyear for the useful life of the facility. How many years will it take
for the savings to amortize both the capital and maintenance costs of the
improvement at an interest rate of 6%? {5 points) Fr: 39.0w
4 = 43,900
r}, = G
71:: 7 3 5‘5?
am IW“W '4' 35" “’53
= 4.25 40% 1w = “casual/3v “f1:
«43300.4?
35.0,GDD ._ :ig'qqoq
45305
17432“. (14,, r =3qm‘t, 12:66:. Hum mm)
M = I? Li’Ya ‘ C4£,E‘DD*ErWG)/tdv = 4a,.3ao/c5y
P/H " 39”“ # 3.93%
HQBGO
m m ,9 a; : a 69%, ﬁrst; (Maﬁa;
"Y: =:. ...
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 Fall '07
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