Լուծեք 843.5*1-(1+0.41/100)^60/1-(1+frac{0.41{100})}

$$843.5 \times \frac { 1 - ( 1 + \frac { 0.41 } { 100 } ) ^ { 60 } } { 1 - ( 1 + \frac { 0.41 } { 100 } ) }$$

Գնահատել

$$57246.193798535510889982800810455599991372494198517579227456832657084387138924211669467246472481787938088069338574304815692329229181929089197185469162629839078501309318804626679586325347169865827445668076206839539024456714413676939397768731035$$

Լուծման քայլերը

Ընդարձակեք \frac{0.41}{100}-ը՝ բազմապատկելով համարիչն ու հայտարարը 100-ով:

$$843.5\times \frac{1-\left(1+\frac{41}{10000}\right)^{60}}{1-\left(1+\frac{0.41}{100}\right)}$$

Գումարեք 1 և \frac{41}{10000} և ստացեք \frac{10041}{10000}:

$$843.5\times \frac{1-\left(\frac{10041}{10000}\right)^{60}}{1-\left(1+\frac{0.41}{100}\right)}$$

Հաշվեք 60-ի \frac{10041}{10000} աստիճանը և ստացեք \frac{1278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}:

$$843.5\times \frac{1-\frac{1278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{1-\left(1+\frac{0.41}{100}\right)}$$

Հանեք \frac{1278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} 1-ից և ստացեք -\frac{278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}:

$$843.5\times \frac{-\frac{278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{1-\left(1+\frac{0.41}{100}\right)}$$

Ընդարձակեք \frac{0.41}{100}-ը՝ բազմապատկելով համարիչն ու հայտարարը 100-ով:

$$843.5\times \frac{-\frac{278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{1-\left(1+\frac{41}{10000}\right)}$$

Գումարեք 1 և \frac{41}{10000} և ստացեք \frac{10041}{10000}:

$$843.5\times \frac{-\frac{278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{1-\frac{10041}{10000}}$$

Հանեք \frac{10041}{10000} 1-ից և ստացեք -\frac{41}{10000}:

$$843.5\times \frac{-\frac{278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{-\frac{41}{10000}}$$

Բաժանեք -\frac{278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}-ը -\frac{41}{10000}-ի վրա՝ բազմապատկելով -\frac{278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}-ը -\frac{41}{10000}-ի հակադարձով:

$$843.5\left(-\frac{278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\right)\left(-\frac{10000}{41}\right)$$

Բազմապատկեք -\frac{278256543656189205274368089298005880218882307307554327009570852275098977201647027676130065841345975751228315694314937456240130218904456746542336008970696313244641811745226993937526892618134498983434782587371715601660074130522911027303914401}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} և -\frac{10000}{41}-ով և ստացեք \frac{6786744967224126957911416812146484883387373348964739683160264689636560419552366528686099166862096969542154041324754572103417810217181871866886244121236495444991263701103097413110412015076451194717921526521261356138050588549339293348875961}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}:

$$843.5\times \frac{6786744967224126957911416812146484883387373348964739683160264689636560419552366528686099166862096969542154041324754572103417810217181871866886244121236495444991263701103097413110412015076451194717921526521261356138050588549339293348875961}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Բազմապատկեք 843.5 և \frac{6786744967224126957911416812146484883387373348964739683160264689636560419552366528686099166862096969542154041324754572103417810217181871866886244121236495444991263701103097413110412015076451194717921526521261356138050588549339293348875961}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}-ով և ստացեք \frac{11449238759707102177996560162091119998274498839703515845491366531416877427784842333893449294496357587617613867714860963138465845836385817839437093832525967815700261863760925335917265069433973165489133615241367907804891342882735387879553746207}{200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}:

$$\frac{11449238759707102177996560162091119998274498839703515845491366531416877427784842333893449294496357587617613867714860963138465845836385817839437093832525967815700261863760925335917265069433973165489133615241367907804891342882735387879553746207}{200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$