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3000A-HW3Solns-Spr06

3000A-HW3Solns-Spr06 - Name Jfl mm Data#ng a 56 CEE 3000A...

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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 LI-BJCIS— 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- (Ii-0'63.) ['08 admrn. (3.5) F=PCr+EJM 5g, = 0+5)“ H . -= f-f-L :20 f3 a; / ‘32:;qu / = Mm “I =fia§_; _ '- "" a C .1 1-: {man run-0541 "-5“; A=? 12345 P = $ 10,5110 (a?) {5,500 :- HAD/,4! $52,305) :1 {E3 ’4 («S—0:} 5 (0,300 : fiéé—‘E‘S'LO/ary (PEI?! are, (:9 6-991)? __w (a) ,6 rims, (M4; £5, 5) + stem (PM, Edgar) z _ 5333105 4~ 33650;; = £¥,$€5{..L;ZLS* b/ .E-EPBFQ 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}; 0-360 '- 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”!' —" «Waging-m / 5‘02??? C6) .4:— Mar/P $5; 51) = 669; m2. :1) 65$?29L-e.) ”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- =3-qm‘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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