Math 20-3 final project

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Math 20-3 final project

Math 20-3 final project
Math 2 0-3 — F in al A sse ssm ent T ask A t t h e C arn iv a l Yo u w ill b e d esig nin g a ttra ctio ns f o r a c arn iv al t h at i n clu des a d unk t a n k ( w it h a l a d der) a n d a n a q uariu m . The d ia g ra m b elo w d epic ts t h e t e m pla te s f o r e ach o f t h ese . Y o u w ill n eed t o d ete rm in e r a n dom v alu es f o r each o f y o ur d im ensio ns v ia d ic e r o ll a s d ir e cte d b elo w . Yo u w ill c rit ic ally e valu ate t h e m ate ria ls f o r t h is a ttra ctio n a n d j u stif y y o ur c h oic e s t o a b an k i n o rd er t o g et a l o an . T he p ro je ct i s b ro ke n i n to s e ctio ns t o h elp d ir e ct y o ur p ro ce ss a n d w ill b e m ark e d b y a r u bric t h at i s a tta ch ed a t t h e b ack.  dia m ete r heig ht Dunk T an k la d der Aquariu m C B A Dia g ra m s: Lab ellin g D ir e ctio ns 1.The h eig ht o f t h e d unk t a n k i s 2 . _ m y o u w ill d ete rm in e t h e v alu e o f y o ur d ecim al b y r o llin g a n 8 s id ed d ie ( h ttp s:/ /w ww.c alc u la to r.n et/d ic e -r o lle r.h tm l ). 2.T he d ia m ete r w ill b e i n m etre s a n d h ave t h e v alu e o f a r o ll o f a 4 -s id ed d ie . 3.For t h e r e cta n gula r p ris m y o u w ill r o ll 3 6 -s id ed d ic e ( re ro ll a n y d ouble s). Y o u w ill l a b el a s f o llo w s a.A = M id dle n um ber b.B = L arg est n um ber c.C = S m alle st n um ber A ll m easu re m ents w ill b e i n m etre s. B e s u re t o l a b el c a re fu lly a n d c le arly a s y o u w ill n eed t h ese n um bers f o r m ult ip le s ta g es t h ro ugho ut t h is p ro je ct. Y o u n eed t o c le arly c o m munic a te a ll o f y o ur ca lc u la tio ns a n d i d eas t o r e ce iv e f u ll c re d it . Dunk T an k: In o rd er t o e nsu re t h e s a fe ty o f t h e d unke e t h e l a d der m ust h ave a p it c h o f a t l e ast 4 :1 . H ow f a r a w ay f ro m th e b ase o f t h e t a n k m ust y o u p la ce t h e b ase o f t h e l a d der? A t w hat a n gle w ill t h e l a d der m eet t h e g ro und (a n gle o f i n clin atio n)? U se fu l C onve rs io n 1 m = 3 .2 808 f t * n ot s q uare d The r e cta n gula r s u rro und o f t h e d unk t a n k n eeds t o b e m ad e o ut o f p le xi-g la ss a n d t h e b otto m w ill b e m ad e o f a c o m posit e m ate ria l, d ete rm in e t h e t o ta l c o st f o r y o ur d unk t a n k.  Mate ria l C ost A m ount o f M ate ria l R equir e d T o ta l C ost Ple xi-g la ss $ 155 / m ² Com posit e $ 6 / f t ² Aquariu m : In o rd er t o m ake t h e a q uariu m , y o u m ust c alc u la te h ow m uch g la ss i s r e quir e d a n d h ow m uch w ate r w ill b e needed t o fi ll i t . C om ple te a s c ale i s o m etric d ra w in g f o r y o ur fi sh t a n k u sin g t h e s c ale o f 1 :1 00. Dra w o rt h ogra p hic t o p, f ro nt a n d s id e v ie w s o f t h e a q uariu m . T hen, c re ate a co m ponent p art s d ia g ra m f o r t h e a q uariu m . Use t h e s c ale 1 s q uare = 0 .5 m . Use fu l C onve rs io ns 1 m = 3 .2 808 f t 1 m = 1 00 c m 1 L = 1 000 c m ³ Dete rm in e t h e c o st o f c o nstru ctin g y o ur a q uariu m o ut o f g la ss. Mate ria l C ost A m ount o f M ate ria l R equir e d T o ta l C ost Gla ss $ 162 / m ² Yo ur a q uariu m w ill n eed t o b e fi lle d w it h w ate r i n it ia lly a n d t h en o n a r e gula r b asis . D ete rm in e t h e i n it ia l am ount o f w ate r t h at y o u w ill n eed t o fi ll y o ur t a n k. W hat w ill i t c o st to fi ll i f w ate r c o sts $ 0.2 0 / 1 00 L ? Yo u w ill n eed t o fi ll y o ur a q uariu m w it h t h in gs p eople w an t t o s e e. B elo w i s a l is t o f p ossib le fi sh , o th er aq uatic c re atu re s a n d s tru ctu re s y o u m ay p urc h ase . For e ach o f t h e i t e m s d ete rm in e t h e u nit p ric e p er o ne i t e m . Note : y o u m ay o rd er s in gle s o f a n y i t e m . Yo u w ill t h en n eed t o build a n o rd er l is t o f a t l e ast 2 0 o f t h e b elo w i t e m s f o r y o ur a q uariu m . Be c au tio us o f t h e s p ace r e quir e d a s y o u c an not e xce ed t h e v o lu m e o f y o ur a q uariu m .  To ta l o rd er c o st: What i s t h e to ta l i n it ia l c o st fo r y o ur a q uariu m ? Dis ta n ce b etw een S tru ctu re s: L it tle t o ddle r C hris i s s ta n din g b etw een t h e a q uariu m a n d t h e d unk t a n k. C hris i s 1 m t a ll a n d w hen t h ey lo ok u p a t t h e h ig hest p oin t o n t h e d unk t a n k t h ey a re l o okin g a t a n a n gle o f e le vatio n o f 5 °. W hen l o okin g at t h e h ig hest p oin t o n t h e a q uariu m t h e a n gle o f e le vatio n i s 2 0°. H ow f a r a p art a re t h e a ttra ctio ns a t t h e C arn iv al? Gra p hin g: B elo w i s a g ra p h r e pre se ntin g t h e r e ve nues g enera te d b y t h e c arn iv al o ve r t h e l a st 1 1 y e ars . Yo ur t a sk i s t o c re ate a m ore f a vo ra b ly d esig ned g ra p h f o r y o ur p re se nta tio n t o t h e b an k a sk in g f o r a l o an . U se t h e g rid p ro vid ed b elo w t o desig n a g ra p h . For y o ur r a tio nale y o u w ill n eed t o p ro vid e a d esc rip tio n o f t h e c h oic e s th at y o u m ad e a n d w hy y o u m ad e th em . E nsu re t h at y o u u se a p pro pria te m ath em atic al t e rm s i n y o ur r a tio nale . Ratio nale f o r g ra p h d esig n: Yo u N eed M oney: In c o nstru ctin g t h e c arn iv al o pera tin g b udget y o u w ill n eed t o c la ssif y y o ur i n co m es a n d e xp ense s. F or each o f t h e c ate gorie s b elo w g iv e a p ossib le r e ve nue/e xp ense s tre am s t h at s a tis fy e ach c ate gory a n d s ta te w hy y o u c ate goriz e d i t t h at w ay. In co m es R ecu rrin g E xp ense V aria b le E xp ense U nexp ecte d E xp ense In o rd er t o g et y o ur a ttra ctio ns b uilt y o u w ill n eed t o b orro w a ll o f t h e m oney f ro m t h e b an k i n t h e f o rm o f a l o an . U sin g t h e p re vio us c o sts f o r c o nstru ctio n o f e ach o f y o ur a ttra ctio ns d e te rm in e a t o ta l c o st f o r t h e p ro je ct. F or s im plic it y o f y o ur r e quest ro und y o ur v alu e u p t o t h e n eare st t h ousa n d d olla rs . A ssu m in g t h at y o ur a p plic atio n i s a p pro ve d t h e s it u atio ns b elo w a re p re se nte d t o y o u f o r y o ur l o an stru ctu re . For e ach o f t h e f o llo w in g s it u atio ns c alc u la te : th e to ta l v alu e o f t h e l o an th e m onth ly p aym ents f o r e ach l o an 8 y e ar l o an a t 6 .5 % c o m pounded a n nually . 8 y e ar s im ple i n te re st l o an o f 8 % a n nually . 5 Y e ar l o an a t 7 % c o m pounded s e m i-a n nually . W hic h l o an w ould y o u c h oose a n d w hy ?

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