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专业好文档四、计算题(每题715分)1某人希望5年后拿出一笔50万元的资金,作为设立一项基金的款项,若利率为5%,问此人现在应存入银行多少钱? 解 已知f=50万元,i=5%,n=5: 答:此人现在应存入银行39.18万元。2某企业购入一项原价为24300元的固定资产,估计残值300元,估计耐用年限为4年,试计算每年的折旧金额(用平均年限法)。 解 按平均年限法,该项固定资产各年的折旧情况见下表。折旧计算表 单位:元使用年限/年折旧费用累计折旧金额账面价值12346000600060006000600012000180002400024300183001230063003003某汽车工厂生产大轿车和载重汽车两种型号的汽车,已知生产每辆汽车所用的钢材都是2吨辆,该工厂每年供应的钢材为1 600吨,工厂的生产能力是每2.5小时可生产一辆载重汽车,每5小时可生产一辆大轿车,工厂全年的有效工时为2 500小时;已知供应给该厂大轿车用的座椅每年可装配400辆。据市场调查,出售一辆大轿车可获利4千元,出售一辆载重汽车可获利3千元。问在这些条件下,工厂应如何安排生产才能使工厂获利最大? 解:这是一个典型的线性规划问题,建立数学模型如下:设 x1为生产大轿车的数量(辆) x2为生产载重汽车的数量(辆)全年的利润值 z=4 x1+3 x2(千元)约束的条件是:原材料的限制,2 x1+2 x21600工时的限制,5 x1+2.5 x22500大轿车用座椅的限制, x1400非负限制x10, x20目标函数:max z=4 x1+3 x2约束条件: 用图解法作图如下:图中的b点是最优解,此时x1=200,x2=600;z=2600。1某人有现金8000 元,存3 年定期,年利率为3%,按复利计算,试计算第三年末获得多少利息?解:1-3 年的本息计算如下表所示:年限 年初金额(元) 年末利息(元) 年末本利和(元)1 8000 8000*3%=240 8000+240=82402 8240 (8000+240)*3%=247.2 8240+247.2=8487.23 8487.2 (8240+247.2)*3%=254.62 8487.2+254.62=8741.82 三年本利和f=8741.82 元,故第三年末利息为:8741.82-8000=741.82 元或:8000*(1+3%)3-1741.82 元winger tuivasa-sheck, who scored two tries in the kiwis 20-18 semi-final win over england, has been passed fit after a lower-leg injury, while slater has been named at full-back but is still recovering from a knee injury aggravated against usa.both sides boast 100% records heading into the encounter but australia have not conceded a try since josh charnleys effort in their first pool match against england on the opening day.aussie winger jarryd hayne is the competitions top try scorer with nine, closely followed by tuivasa-sheck with eight.but it is recently named rugby league international federation player of the year sonny bill williams who has attracted the most interest in the tournament so far.the kiwi - with a tournament high 17 offloads - has the chance of becoming the first player to win the world cup in both rugby league and rugby union after triumphing with the all blacks in 2011.id give every award back in a heartbeat just to get across the line this weekend, said williams.the (lack of) air up there watch mcayman islands-based webb, the head of fifas anti-racism taskforce, is in london for the football associations 150th anniversary celebrations and will attend citys premier league match at chelsea on sunday.i am going to be at the match tomorrow and i have asked to meet yaya toure, he told bbc sport.for me its about how he felt and i would like to speak to him first to find out what his experience was.uefa hasopened disciplinary proceedings against cskafor the racist behaviour of their fans duringcitys 2-1 win.michel platini, president of european footballs governing body, has also ordered an immediate investigation into the referees actions.cska said they were surprised and disappointed by toures complaint. in a statement the russian side added: we found no racist insults from fans of cska. baumgartner the disappointing news: mission aborted.the supersonic descent could happen as early as sunda.the weather plays an important role in this mission. starting at the ground, conditions have to be very calm - winds less than 2 mph, with no precipitation or humidity and limited cloud cover. the balloon, with capsule attached, will move through the lower level of the atmosphere (the troposphere) where our day-to-day weather lives. it will climb higher than the tip of mount everest (5.5 miles/8.85 kilometers), drifting even higher than the cruising altitude of commercial airliners (5.6 miles/9.17 kilometers) and into the stratosphere. as he crosses the boundary layer (called the tropopause),e can expect a lot of turbulence.the balloon will slowly drift to the edge of space at 120,000 feet ( then, i would assume, he will slowly step out onto something resembling an olympic diving platform.they blew it in 2008 when they got caught cold in the final and they will not make the same mistake against the kiwis in manchester.five years ago they cruised through to the final and so far history has repeated itself here - the last try they conceded was scored by englands josh charnley in the opening game of the tournament.that could be classed as a weakness, a team under-cooked - but i have been impressed by the kangaroos focus in their games since then.they have been concentrating on the sort of stuff that wins you tough, even contests - strong defence, especially on their own goal-line, completing sets and a good kick-chase. theyve been great at all the unglamorous stuff that often goes unnoticed in the stands but not by your team-mates.it is as though their entire tournament has been preparation for the final.in johnathan thurston, cooper cronk, cameron smith and either billy slater or greg inglis at full-back they have a spine that is unmatched in rugby league. they have played in so many high-pressure games - a priceless asset going into saturday.the kiwis are
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