(0.00833333*((1+0.00833333)^36))/(((1+0.00833333)^36)-1)*200000

asked by guest
on Nov 23, 2024 at 11:23 pm



You asked:

Evaluate the expression: 0.00833333(1+0.00833333)36(1+0.00833333)36−1⋅200000\frac{0.00833333 {\left( 1 + 0.00833333 \right)}^{36}}{{\left( 1 + 0.00833333 \right)}^{36} - 1} \cdot 200000

MathBot Answer:

0.00833333(1+0.00833333)36(1+0.00833333)36−1⋅200000=1348181681974056789836018597244884110079849252699807778980246658923256611901685720634874086132782807140182340588440663477016826078756755059989835113322299318664389785781018724389599661396606739424019813914865817240406554842063914326913194032936911051225651444215120673627160364332091407281208909092748071173130080410379094617685756625922535036402162556218976454731593325018254458981453276865420150521124606536052710068338080371226049558413202956479816463395196592712396881796716762341116824795649408604007374508188151871408664983228139921991359663072937633351349559139078500≈6453.43706317208326800701151178294283\frac{0.00833333 {\left( 1 + 0.00833333 \right)}^{36}}{{\left( 1 + 0.00833333 \right)}^{36} - 1} \cdot 200000 = \frac{1348181681974056789836018597244884110079849252699807778980246658923256611901685720634874086132782807140182340588440663477016826078756755059989835113322299318664389785781018724389599661396606739424019813914865817240406554842063914326913194032936911051225651444215120673627160364332091407281}{208909092748071173130080410379094617685756625922535036402162556218976454731593325018254458981453276865420150521124606536052710068338080371226049558413202956479816463395196592712396881796716762341116824795649408604007374508188151871408664983228139921991359663072937633351349559139078500} \approx 6453.43706317208326800701151178294283

0.00833333(1+0.00833333)36(1+0.00833333)36−1⋅200000=833333100000000(1+0.00833333)36(1+0.00833333)36−1⋅200000=833333100000000(1+833333100000000)36(1+0.00833333)36−1⋅200000=833333100000000(100833333100000000)36(1+0.00833333)36−1⋅200000=833333100000000⋅13481816819740567898360185972448841100798492526998077789802466589232566119016857206348740861327828071401823405884406634770168260787567550599898351133222993186643897857810187243895996613966067394240198139148658172404065548420639143269131940329369110512256514442151206736271603643320914072811000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000(1+0.00833333)36−1⋅200000=1123484285584486666844418885697871010105171017300088915880945889020494202165867466633821526819290295022549570429587023417292862726688602964406509264490211658120551933354253676651758254630618483984436703589116876078399715566201647917789552723049414897051025794962119156315742427889954728703697573100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000(1+0.00833333)36−1⋅200000=1123484285584486666844418885697871010105171017300088915880945889020494202165867466633821526819290295022549570429587023417292862726688602964406509264490211658120551933354253676651758254630618483984436703589116876078399715566201647917789552723049414897051025794962119156315742427889954728703697573100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000(1+833333100000000)36−1⋅200000=1123484285584486666844418885697871010105171017300088915880945889020494202165867466633821526819290295022549570429587023417292862726688602964406509264490211658120551933354253676651758254630618483984436703589116876078399715566201647917789552723049414897051025794962119156315742427889954728703697573100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000(100833333100000000)36−1⋅200000=112348428558448666684441888569787101010517101730008891588094588902049420216586746663382152681929029502254957042958702341729286272668860296440650926449021165812055193335425367665175825463061848398443670358911687607839971556620164791778955272304941489705102579496211915631574242788995472870369757310000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000013481816819740567898360185972448841100798492526998077789802466589232566119016857206348740861327828071401823405884406634770168260787567550599898351133222993186643897857810187243895996613966067394240198139148658172404065548420639143269131940329369110512256514442151206736271603643320914072811000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1⋅200000=11234842855844866668444188856978710101051710173000889158809458890204942021658674666338215268192902950225495704295870234172928627266886029644065092644902116581205519333542536766517582546306184839844367035891168760783997155662016479177895527230494148970510257949621191563157424278899547287036975731000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003481816819740567898360185972448841100798492526998077789802466589232566119016857206348740861327828071401823405884406634770168260787567550599898351133222993186643897857810187243895996613966067394240198139148658172404065548420639143269131940329369110512256514442151206736271603643320914072811000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000⋅200000=134818168197405678983601859724488411007984925269980777898024665892325661190168572063487408613278280714018234058844066347701682607875675505998983511332229931866438978578101872438959966139660673942401981391486581724040655484206391432691319403293691105122565144421512067362716036433209140728141781818549614234626016082075818923537151325184507007280432511243795290946318665003650891796290655373084030104224921307210542013667616074245209911682640591295963292679039318542479376359343352468223364959129881720801474901637630374281732996645627984398271932614587526670269911827815700000000⋅200000=1348181681974056789836018597244884110079849252699807778980246658923256611901685720634874086132782807140182340588440663477016826078756755059989835113322299318664389785781018724389599661396606739424019813914865817240406554842063914326913194032936911051225651444215120673627160364332091407281208909092748071173130080410379094617685756625922535036402162556218976454731593325018254458981453276865420150521124606536052710068338080371226049558413202956479816463395196592712396881796716762341116824795649408604007374508188151871408664983228139921991359663072937633351349559139078500\begin{aligned}\frac{0.00833333 {\left( 1 + 0.00833333 \right)}^{36}}{{\left( 1 + 0.00833333 \right)}^{36} - 1} \cdot 200000&=\frac{\frac{833333}{100000000} {\left( 1 + 0.00833333 \right)}^{36}}{{\left( 1 + 0.00833333 \right)}^{36} - 1} \cdot 200000\\&=\frac{\frac{833333}{100000000} {\left( 1 + \frac{833333}{100000000} \right)}^{36}}{{\left( 1 + 0.00833333 \right)}^{36} - 1} \cdot 200000\\&=\frac{\frac{833333}{100000000} {\left( \frac{100833333}{100000000} \right)}^{36}}{{\left( 1 + 0.00833333 \right)}^{36} - 1} \cdot 200000\\&=\frac{\frac{833333}{100000000} \cdot \frac{1348181681974056789836018597244884110079849252699807778980246658923256611901685720634874086132782807140182340588440663477016826078756755059989835113322299318664389785781018724389599661396606739424019813914865817240406554842063914326913194032936911051225651444215120673627160364332091407281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{{\left( 1 + 0.00833333 \right)}^{36} - 1} \cdot 200000\\&=\frac{\frac{1123484285584486666844418885697871010105171017300088915880945889020494202165867466633821526819290295022549570429587023417292862726688602964406509264490211658120551933354253676651758254630618483984436703589116876078399715566201647917789552723049414897051025794962119156315742427889954728703697573}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{{\left( 1 + 0.00833333 \right)}^{36} - 1} \cdot 200000\\&=\frac{\frac{1123484285584486666844418885697871010105171017300088915880945889020494202165867466633821526819290295022549570429587023417292862726688602964406509264490211658120551933354253676651758254630618483984436703589116876078399715566201647917789552723049414897051025794962119156315742427889954728703697573}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{{\left( 1 + \frac{833333}{100000000} \right)}^{36} - 1} \cdot 200000\\&=\frac{\frac{1123484285584486666844418885697871010105171017300088915880945889020494202165867466633821526819290295022549570429587023417292862726688602964406509264490211658120551933354253676651758254630618483984436703589116876078399715566201647917789552723049414897051025794962119156315742427889954728703697573}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{{\left( \frac{100833333}{100000000} \right)}^{36} - 1} \cdot 200000\\&=\frac{\frac{1123484285584486666844418885697871010105171017300088915880945889020494202165867466633821526819290295022549570429587023417292862726688602964406509264490211658120551933354253676651758254630618483984436703589116876078399715566201647917789552723049414897051025794962119156315742427889954728703697573}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1348181681974056789836018597244884110079849252699807778980246658923256611901685720634874086132782807140182340588440663477016826078756755059989835113322299318664389785781018724389599661396606739424019813914865817240406554842063914326913194032936911051225651444215120673627160364332091407281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} - 1} \cdot 200000\\&=\frac{\frac{1123484285584486666844418885697871010105171017300088915880945889020494202165867466633821526819290295022549570429587023417292862726688602964406509264490211658120551933354253676651758254630618483984436703589116876078399715566201647917789552723049414897051025794962119156315742427889954728703697573}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{348181681974056789836018597244884110079849252699807778980246658923256611901685720634874086132782807140182340588440663477016826078756755059989835113322299318664389785781018724389599661396606739424019813914865817240406554842063914326913194032936911051225651444215120673627160364332091407281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}} \cdot 200000\\&=\frac{1348181681974056789836018597244884110079849252699807778980246658923256611901685720634874086132782807140182340588440663477016826078756755059989835113322299318664389785781018724389599661396606739424019813914865817240406554842063914326913194032936911051225651444215120673627160364332091407281}{41781818549614234626016082075818923537151325184507007280432511243795290946318665003650891796290655373084030104224921307210542013667616074245209911682640591295963292679039318542479376359343352468223364959129881720801474901637630374281732996645627984398271932614587526670269911827815700000000} \cdot 200000\\&=\frac{1348181681974056789836018597244884110079849252699807778980246658923256611901685720634874086132782807140182340588440663477016826078756755059989835113322299318664389785781018724389599661396606739424019813914865817240406554842063914326913194032936911051225651444215120673627160364332091407281}{208909092748071173130080410379094617685756625922535036402162556218976454731593325018254458981453276865420150521124606536052710068338080371226049558413202956479816463395196592712396881796716762341116824795649408604007374508188151871408664983228139921991359663072937633351349559139078500}\end{aligned}

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