Whakaoti i te 10,000/105^5+685/0.05*(1-1/1.05^5)

$$\frac { 10,000 } { 105 ^ { 5 } } + \frac { 685 } { 0.05 } \cdot ( 1 - \frac { 1 } { 1.05 ^ { 5 } } )$$

Aromātai

$$\frac{12112183700}{4084101}\approx 2965.691519382$$

Ngā Upane Otinga

Whakareatia te 10 ki te 0, ka 0.

$$\frac{0\times 0\times 0}{105^{5}}+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Whakareatia te 0 ki te 0, ka 0.

$$\frac{0\times 0}{105^{5}}+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Whakareatia te 0 ki te 0, ka 0.

$$\frac{0}{105^{5}}+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Tātaihia te 105 mā te pū o 5, kia riro ko 12762815625.

$$\frac{0}{12762815625}+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$0+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Whakarohaina te \frac{685}{0.05} mā te whakarea i te taurunga me te tauraro ki te 100.

$$0+\frac{68500}{5}\left(1-\frac{1}{1.05^{5}}\right)$$

Whakawehea te 68500 ki te 5, kia riro ko 13700.

$$0+13700\left(1-\frac{1}{1.05^{5}}\right)$$

Tātaihia te 1.05 mā te pū o 5, kia riro ko 1.2762815625.

$$0+13700\left(1-\frac{1}{1.2762815625}\right)$$

Whakarohaina te \frac{1}{1.2762815625} mā te whakarea i te taurunga me te tauraro ki te 10000000000.

$$0+13700\left(1-\frac{10000000000}{12762815625}\right)$$

Whakahekea te hautanga \frac{10000000000}{12762815625} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3125.

$$0+13700\left(1-\frac{3200000}{4084101}\right)$$

Me tahuri te 1 ki te hautau \frac{4084101}{4084101}.

$$0+13700\left(\frac{4084101}{4084101}-\frac{3200000}{4084101}\right)$$

Tā te mea he rite te tauraro o \frac{4084101}{4084101} me \frac{3200000}{4084101}, me tango rāua mā te tango i ō raua taurunga.

$$0+13700\times \frac{4084101-3200000}{4084101}$$

Tangohia te 3200000 i te 4084101, ka 884101.

$$0+13700\times \frac{884101}{4084101}$$

Tuhia te 13700\times \frac{884101}{4084101} hei hautanga kotahi.

$$0+\frac{13700\times 884101}{4084101}$$

Whakareatia te 13700 ki te 884101, ka 12112183700.

$$0+\frac{12112183700}{4084101}$$

Tāpirihia te 0 ki te \frac{12112183700}{4084101}, ka \frac{12112183700}{4084101}.

$$\frac{12112183700}{4084101}$$

Tauwehe

$$\frac{137 \cdot 331 \cdot 2671 \cdot 2 ^ {2} \cdot 5 ^ {2}}{3 ^ {5} \cdot 7 ^ {5}} = 2965\frac{2824235}{4084101} = 2965.6915193821114$$