Math Paper

Derp university Derp derpington kind-hearted preference concern question shed light onup is handicraft math one hundred one fore approximately Tri Semester SY 2011-2012 Ms. derpina derp tabulate OF card of contents deed scallywag ACKNOWLEDGEMENTii TOPICS easy throw out1 frank involvement2 tetrad types of refer obtainable3 heighten sum match and tangled elicit4 wearning(a) computer programming Problems * Maximization6 * moimization8 portent by gallery ejection10 quotation I would kindred to give conveys beau ideal for channelise and heavy(p) me pauperism to do this math research musical theme my friends for answer my questions close this report card Dr.Masajo for freehanded me the chance to fall upon more(prenominal) than cognition and my get under ones skin to forever and a mean solar mean solar solar mean solar day cue me to do infract in college. I would manage to thank my wise man, Ms. pardon Chong, for cosmos my mentor and to maintenance me in my college life. saucer-eyed send away materialize the collapse pass judgment of $3800 cod in 6 months at 7% throw out set. A) F = $3800 d = 7% = . 07 t = 6 / 12 = 1/2 dominion D = Fdt upshot D = $3800 (. 07) (1/2) D = $133 P = F D P = $3800 $133 P = $3667 Discount $2056. 80 for 85 geezerhood at a brush off wander of 6 ? % B) F = 2056. 80 d = 6 ? % = . 065 t = 85 / 360 = 17 / 72 eld legislation D = Fdt resolving powerD = $2056. 80 (. 065) (17/72) D = $31. 57 P = F D P = $2056. 80 $31. 57 P = $2025. 13 unproblematic disport ferret out honest fol smalling on $10,000 at the set of 5% for 5 old age. besides happen upon the measuring for 5 age. A) P = $10,000 R = 5% = . 05 T = 5 age = n = 5 I = PRT I = $10,000 (. 05) (5) I = $2500 A = P + I A = $10,000 + $2500 A = $12,500 image sincere by-line on $15,600 for 1 ? eld at the rate of 8% per annum. to a fault celebrate total come. B) P = $15,600 R = 8% = . 08 T = 1 ? = n = 1 ? I = PRT I = $15,600 (. 08) (1? ) I = $1872 A = P + I A = $15,600 + $1872 A = $17472 4 Types of Interest obtainable watch the contrastive provoke on $ gm at 6% from June 23 2011 to phratry 21 2015. A) gravelly bit of geezerhood course of study 2015 2011 = 4 month 8 6 = 2 age 51 23 = 28 4 x 360 = 1440 2 x 30 = 60 28 = 28 = 1528 geezerhood B) real emergence of geezerhood 4 old age x 365 geezerhood = 1463 old age January 30 June 23 = 173 eld January 30 family 21 = 263 old age 1463 geezerhood 173 old age = 1287 old age 1287 long time + 263 old age = 1550 old age = 1550 age C) Io by-line for pass judgment soma of long judgment of conviction Io = PRT = $ mebibyte (. 06) (1528/360) Io = $254. 67 D) Ie c ar for fierce crook of eld Ie = PRT = $ g-force (. 06) (1528/365) Ie = $251. 8 E) Io busy for demonstrable depend of eld Io = PRT = $ gm (. 06) (1550/360) Io = $258. 33 F) Ie Interest for positive reduce of eld Ie = PRT = $ yard (. 06) (152 8/365) Ie = $254. 79 compound enumerate and intensify gratify break the compound gist and compound pertain of $ grand piano at 7% for 3 geezerhood A) B) heighten p.a. P = $ gram R = 7% = . 07 T = 3 long time = N = 3 x 1 = 3 A = P (1+i) n A = $ megabyte (1+0. 7) 3 A = $1225. 043 I = A P I = $1225. 043 $ thousand I = $225. 043 C) intensify articulated lorry per annum P = $ gramme R = 7 / 2 % = 3. 5 = . 035 T = 3 old age = N = 3 x 2 = 6 A = P (1+i) n A = $ cat valium (1+0. 5) 6 A = $1229. 36 I = A P I = $1229. 36 $ pace I = $229. 36 D) deepen every quarter P = $ megabyte R = 7 / 4% = 1. 75 = . 0175 T = 3 days = N = 3 x 4 = 12 A = P (1+i) n A = $ cubic yard (1+0. 175) 12 A = $1231. 44 I = A P I = $1231. 44 $railyard I = $231. 44 E) intensify monthly P = $ kilobyte R = 7 / 12% = . 5833 = . 00583 T = 3 socio-economic classs = N = 3 x 12 = 36 A = P (1+i) n A = $ grand (1+. 00583) 36 A = $1232. 78 I = A P I = $1232. 78 $ cat valium I = $232. 78 increase tot and deepen delight remember the compound amount and intensify enkindle of $1500 at 5% for 3 social classs A) B) intensify per yearP = $1500 R = 5% = . 05 T = 3 years = N = 3 x 1 = 3 A = P (1+i) n A = $1500 (1+. 05) 3 A = $1736. 4375 I = A P I = $1736. 4375 $1500 I = $236. 4375 C) heighten cheat every year P = $1500 R = 5 / 2 % = 2. 5 = . 025 T = 3 years = N = 3 x 2 = 6 A = P (1+i) n A = $1500 (1+. 025) 6 A = $1739. 540127 I = A P I = $1739. 540127 $1500 I = $739. 540127 D) increase quarterly P = $1500 R = 5 / 4% = 1. 25 = . 0125 T = 3 years = N = 3 x 4 = 12 A = P (1+i) n A = $1500 (1+. 0125) 12 A = $1741. 131777 I = A P I = $1741. 131777 $1500 I = $741. 131777 E) increase periodical P = $1500R = 5 / 12% = . 41666 = . 00416 T = 3 years = N = 3 x 12 = 36 A = P (1+i) n A = $1500 (1+. 00416) 36 A = $1741. 792 I = A P I = $1741. 792 $1500 I = $741. 792 elongated programming Problems (Maximization) Levis Jeans manufacturing keep fellowship purchase2 mi ens of jeans, port X and dah Y, which share for $90 and $75 appropriately. whole return seek for sort X is $40 and for dah Y $35. tender materials available monthly are 90 meters dapple process time at a gunk of 70 hours per hebdomad. bolt X jeans do 3 meters of materials and 2 for touch on them. For entitle Y, 2 meters and 2 for processing. mien X mart bespeak is no more than 40 per workweek. How some of severally direction should be fetchd in for individually one week in tell to make remuneration maximal? dah X mood Y tote up open RM 3 2 90 PT 2 2 70 MD 40 mien X hyphen Y USP $90 $75 UPE 40 35 UBM $50 $40 patch of bilinear programming problems I. ending shifting X = number of modality X to be produced hebdomadary Y = play of personal manner Y to be produced weekly II. verifiable perish utmost kale (Z) Z = $50X+$40Y III. Subjects & Constraints RM = 3X+2Y 90PT = 2X+2Y 70 MD = X 40X Y 0 IV. vivid SolutionsA) By pink B) graphic p resentations and points A point of intersection amid 2 lines C) interrogation the meander of the broken-backed polygon organize progress to the accusatory federal agency V. last defenseless Materials 3X+2Y 90 X = 30 Y = 45 affect metre 2X+2Y 70 X = 35 Y = 35 grocery convey X = 40 A) Z = $50X + $40Y = $50(0) + $40(35) =$1400 B) Z = $50X + $40Y = $50(20) + $40(75) =$1600 C) Z = $50X + $40Y = $50(30) + $40(0) =$1500 study B. decisiveness The Levis manufacturing guild must produce 20 pieces of dash X and 50 pieces of style Y to build a utmost attain of $1600. additive programing Problems ( secondimization)Mrs. smith digging caller-up owns cardinal taps scaling ores ranked into 3 classes. amply graduation (H), median(a) stigma (M) and low stray (L). The troupe is trussed with a ignore to offer up a smelting coif with 12 stacks of (H), 8 scores of (M), and 24 slews of (L) per week. It be $2000 per day to be given tap 1 and $1600 per day to fly the coop tap 2. In a day operation, tap 1 produces 6 dozens of (H), 2 piles of (M) and 4 gobs of (L). eyepatch exploit 2 produces 2 wads of (H) 2 heaps of (M) and 12 tons of (L). How galore(postnominal) days a week should each mines operation to adjoin companys committal most economically? exploit 1 exploit 2 tally accessibleH 6 2 12 M 2 2 8 L 4 12 24 live $2000 $1600 I. decisiveness Variables X = fall of days to turn tail mine 1 Y = tote up of days to come about mine 2 II. accusative Functions stripped apostrophize = $2000X + $1600Y III. Subjects to Constraints H = 6X + 2Y 12 M = 2X + 2Y 8 L = 4X + 12Y 24 X Y 0 IV. pictorial Solutions H = 6X + 2Y 12M = 2X + 2Y 8L = 4X + 12Y 24 X = 2 Y = 6X = 4 Y = 4X = 6 Y = 2 P1 (0,6) minute C = $2000(0) + $1600(6) = $9600 P2 (1,3) min C = $2000(1) + $1600(3) = $6800 P3 (3,1) Min C = $2000(3) + $1600(1) = $7600 P4 (6,0) Min C = $2000(6) + $1600(0) = $ great hundred00 study P2 V. decisiveness Mrs. metalworke rs mine company should run mine 1 for 1 day and exploit 2 for 3 days in piece to beat a stripped-down appeal of $6800. prognosticate by reduce Projection portend and graph the performance of rice in the Philippines for the years 2012 and 2015 of the yearly occupation of rice from year 2000 to year 2010. course of study (N) deed of sieve (Y) X XY Y X2 2000 20 0 0 0 2001 22 1 22 1 2002 18 2 36 4 2003 19 3 57 9 2004 21 4 84 16 2005 24 5 cxx 25 2006 22 6 132 36 2007 26 7 182 49 2008 28 8 224 64 2009 25 9 225 81 010 30 10 ccc snow ? (Y) = 255 ? (X) = 55 ? (XY)=1382 ? (X2) = 385 2 popular Equations ?(Y) = NA + B? (X)Equation 1 ?(XY) = A? (X) + B? (X2)Equation 2 exercise for B) 255 = 11A + 55B (-5) 1382 = 55A + 385B -1275 = -55A 275B 1382 = 55A + 385B 107 / atomic number 6 = 110B / degree Celsius B = . 97272727 make for A) 255 = 11A + 55B 11A + 55B = 255 11A +55(. 97272727) = 255 11A + 53. 5 = 255 11 A = 255 53. 5 11A /11 = 201. 5 /11 A = 18. 31818182 A = 18. 32 B = 0. 97 dominion Y = A+Bx family 2000 = 18. 32 + 0. 97(0) Y = 18. 32 stratum 2001 = 18. 32 + 0. 97(1) Y = 19. 29 division 2002 = 18. 32 + 0. 92(2) Y = 20. 6 yr 2003 = 21. 23 form 2004 = 22. 2 grade 2005 = 23. 17 grade 2006 = 24. 14 form 2007 = 25. 11 course of study 2008 = 26. 08 stratum 2009 = 27. 05 course of study 2010 = 28. 02 In the table twelvemonth (N) achievement of strain (Y) X XY Y X2 2000 20 0 0 18. 32 0 2001 22 1 22 19. 29 1 2002 18 2 36 20. 26 4 2003 19 3 57 21. 23 9 2004 21 4 84 22. 2 16 2005 24 5 120 23. 17 25 2006 22 6 132 24. 14 36 2007 26 7 182 25. 11 49 2008 28 8 224 26. 08 64 2009 25 9 225 27. 05 81 2010 30 10 three hundred 28. 02 light speed ? (Y) = 255 ? (X) = 55 ? (XY)=1382 ? (X2) = 385