Solve 184,000/[1-(1+(0.033/12))^-240/(frac{0.033{12})}]

$$184,000 / [ \frac { 1 - ( 1 + ( \frac { 0.033 } { 12 } ) ) ^ { - 240 } } { ( \frac { 0.033 } { 12 } ) } ]$$

Sort

$$0,184$$

Solution Steps

Divide 0 by \frac{1-\left(1+\frac{0.033}{12}\right)^{-240}}{\frac{0.033}{12}} by multiplying 0 by the reciprocal of \frac{1-\left(1+\frac{0.033}{12}\right)^{-240}}{\frac{0.033}{12}}.

$$sort(184,\frac{0\times \frac{0.033}{12}}{1-\left(1+\frac{0.033}{12}\right)^{-240}})$$

Expand \frac{0.033}{12} by multiplying both numerator and the denominator by 1000.

$$sort(184,\frac{0\times \frac{33}{12000}}{1-\left(1+\frac{0.033}{12}\right)^{-240}})$$

Reduce the fraction \frac{33}{12000} to lowest terms by extracting and canceling out 3.

$$sort(184,\frac{0\times \frac{11}{4000}}{1-\left(1+\frac{0.033}{12}\right)^{-240}})$$

Multiply 0 and \frac{11}{4000} to get 0.

$$sort(184,\frac{0}{1-\left(1+\frac{0.033}{12}\right)^{-240}})$$

Expand \frac{0.033}{12} by multiplying both numerator and the denominator by 1000.

$$sort(184,\frac{0}{1-\left(1+\frac{33}{12000}\right)^{-240}})$$

Reduce the fraction \frac{33}{12000} to lowest terms by extracting and canceling out 3.

$$sort(184,\frac{0}{1-\left(1+\frac{11}{4000}\right)^{-240}})$$

Add 1 and \frac{11}{4000} to get \frac{4011}{4000}.

$$sort(184,\frac{0}{1-\left(\frac{4011}{4000}\right)^{-240}})$$

Calculate \frac{4011}{4000} to the power of -240 and get \frac{3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{6034466429454199568037464567294996343510948914779422359604266687213315202643629648224694998439143675668526861241149553757556075348276362529602803499768309555225282721279878349191771556504384592811349231982893960563699088091815570335466536214380348088404785056822297385104864494645401738847698632562319981165253210831962944492063123684663713716271076285222253482979102736286185217746953910205472755126284842246855146400154089712117280984086464243712994833280173393789109771762634688803836771293535885111494674620679160431491117584277409784953308713857619779547483507250753558800016304317373011646250523024038239286147544337935107038252175360521749765454692133487908238216974072376795678916447246302589984071092859878200665274632007038629653939570730906532328647950581483120383074411172691340054697535105895392976354303908858559169417707752765888141643154520617710401}.

$$sort(184,\frac{0}{1-\frac{3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{6034466429454199568037464567294996343510948914779422359604266687213315202643629648224694998439143675668526861241149553757556075348276362529602803499768309555225282721279878349191771556504384592811349231982893960563699088091815570335466536214380348088404785056822297385104864494645401738847698632562319981165253210831962944492063123684663713716271076285222253482979102736286185217746953910205472755126284842246855146400154089712117280984086464243712994833280173393789109771762634688803836771293535885111494674620679160431491117584277409784953308713857619779547483507250753558800016304317373011646250523024038239286147544337935107038252175360521749765454692133487908238216974072376795678916447246302589984071092859878200665274632007038629653939570730906532328647950581483120383074411172691340054697535105895392976354303908858559169417707752765888141643154520617710401}})$$

Subtract \frac{3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{6034466429454199568037464567294996343510948914779422359604266687213315202643629648224694998439143675668526861241149553757556075348276362529602803499768309555225282721279878349191771556504384592811349231982893960563699088091815570335466536214380348088404785056822297385104864494645401738847698632562319981165253210831962944492063123684663713716271076285222253482979102736286185217746953910205472755126284842246855146400154089712117280984086464243712994833280173393789109771762634688803836771293535885111494674620679160431491117584277409784953308713857619779547483507250753558800016304317373011646250523024038239286147544337935107038252175360521749765454692133487908238216974072376795678916447246302589984071092859878200665274632007038629653939570730906532328647950581483120383074411172691340054697535105895392976354303908858559169417707752765888141643154520617710401} from 1 to get \frac{2912717879138207336655867337501830037762350772114451208745109727587943463823864028104388895375651704508699930119742930862108099668988077223312627499768309555225282721279878349191771556504384592811349231982893960563699088091815570335466536214380348088404785056822297385104864494645401738847698632562319981165253210831962944492063123684663713716271076285222253482979102736286185217746953910205472755126284842246855146400154089712117280984086464243712994833280173393789109771762634688803836771293535885111494674620679160431491117584277409784953308713857619779547483507250753558800016304317373011646250523024038239286147544337935107038252175360521749765454692133487908238216974072376795678916447246302589984071092859878200665274632007038629653939570730906532328647950581483120383074411172691340054697535105895392976354303908858559169417707752765888141643154520617710401}{6034466429454199568037464567294996343510948914779422359604266687213315202643629648224694998439143675668526861241149553757556075348276362529602803499768309555225282721279878349191771556504384592811349231982893960563699088091815570335466536214380348088404785056822297385104864494645401738847698632562319981165253210831962944492063123684663713716271076285222253482979102736286185217746953910205472755126284842246855146400154089712117280984086464243712994833280173393789109771762634688803836771293535885111494674620679160431491117584277409784953308713857619779547483507250753558800016304317373011646250523024038239286147544337935107038252175360521749765454692133487908238216974072376795678916447246302589984071092859878200665274632007038629653939570730906532328647950581483120383074411172691340054697535105895392976354303908858559169417707752765888141643154520617710401}.

$$sort(184,\frac{0}{\frac{2912717879138207336655867337501830037762350772114451208745109727587943463823864028104388895375651704508699930119742930862108099668988077223312627499768309555225282721279878349191771556504384592811349231982893960563699088091815570335466536214380348088404785056822297385104864494645401738847698632562319981165253210831962944492063123684663713716271076285222253482979102736286185217746953910205472755126284842246855146400154089712117280984086464243712994833280173393789109771762634688803836771293535885111494674620679160431491117584277409784953308713857619779547483507250753558800016304317373011646250523024038239286147544337935107038252175360521749765454692133487908238216974072376795678916447246302589984071092859878200665274632007038629653939570730906532328647950581483120383074411172691340054697535105895392976354303908858559169417707752765888141643154520617710401}{6034466429454199568037464567294996343510948914779422359604266687213315202643629648224694998439143675668526861241149553757556075348276362529602803499768309555225282721279878349191771556504384592811349231982893960563699088091815570335466536214380348088404785056822297385104864494645401738847698632562319981165253210831962944492063123684663713716271076285222253482979102736286185217746953910205472755126284842246855146400154089712117280984086464243712994833280173393789109771762634688803836771293535885111494674620679160431491117584277409784953308713857619779547483507250753558800016304317373011646250523024038239286147544337935107038252175360521749765454692133487908238216974072376795678916447246302589984071092859878200665274632007038629653939570730906532328647950581483120383074411172691340054697535105895392976354303908858559169417707752765888141643154520617710401}})$$

Zero divided by any non-zero number gives zero.

$$sort(184,0)$$

To sort the list, start from a single element 184.

$$184$$

Insert 0 to the appropriate location in the new list.

$$0,184$$

Evaluate

$$184,0$$