Datrys 50(1-1/1.02^5)+100/1.02^5

$$50 ( 1 - \frac { 1 } { 1.02 ^ { 5 } } ) + \frac { 100 } { 1.02 ^ { 5 } }$$

Enrhifo

$$\frac{32876262550}{345025251}\approx 95.286540491$$

Camau Ateb

Cyfrifo 1.02 i bŵer 5 a chael 1.1040808032.

$$50\left(1-\frac{1}{1.1040808032}\right)+\frac{100}{1.02^{5}}$$

Ehangu \frac{1}{1.1040808032} drwy luosi'r rhifiadur a'r enwadur gyda 10000000000.

$$50\left(1-\frac{10000000000}{11040808032}\right)+\frac{100}{1.02^{5}}$$

Lleihau'r ffracsiwn \frac{10000000000}{11040808032} i'r graddau lleiaf posib drwy dynnu a chanslo allan 32.

$$50\left(1-\frac{312500000}{345025251}\right)+\frac{100}{1.02^{5}}$$

Troswch y rhif degol 1 i’r ffracsiwn \frac{345025251}{345025251}.

$$50\left(\frac{345025251}{345025251}-\frac{312500000}{345025251}\right)+\frac{100}{1.02^{5}}$$

Gan fod gan \frac{345025251}{345025251} a \frac{312500000}{345025251} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$50\times \frac{345025251-312500000}{345025251}+\frac{100}{1.02^{5}}$$

Tynnu 312500000 o 345025251 i gael 32525251.

$$50\times \frac{32525251}{345025251}+\frac{100}{1.02^{5}}$$

Mynegwch 50\times \frac{32525251}{345025251} fel ffracsiwn unigol.

$$\frac{50\times 32525251}{345025251}+\frac{100}{1.02^{5}}$$

Lluosi 50 a 32525251 i gael 1626262550.

$$\frac{1626262550}{345025251}+\frac{100}{1.02^{5}}$$

Cyfrifo 1.02 i bŵer 5 a chael 1.1040808032.

$$\frac{1626262550}{345025251}+\frac{100}{1.1040808032}$$

Ehangu \frac{100}{1.1040808032} drwy luosi'r rhifiadur a'r enwadur gyda 10000000000.

$$\frac{1626262550}{345025251}+\frac{1000000000000}{11040808032}$$

Lleihau'r ffracsiwn \frac{1000000000000}{11040808032} i'r graddau lleiaf posib drwy dynnu a chanslo allan 32.

$$\frac{1626262550}{345025251}+\frac{31250000000}{345025251}$$

Gan fod gan \frac{1626262550}{345025251} a \frac{31250000000}{345025251} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{1626262550+31250000000}{345025251}$$

Adio 1626262550 a 31250000000 i gael 32876262550.

$$\frac{32876262550}{345025251}$$

Ffactor

$$\frac{2 \cdot 101 \cdot 6510151 \cdot 5 ^ {2}}{3 ^ {5} \cdot 17 ^ {5}} = 95\frac{98863705}{345025251} = 95.2865404914958$$