Whakaoti i te 7164=P[(1+5/100)^2-1]

$$7164 = P [ ( 1 + \frac { 5 } { 100 } ) ^ { 2 } - 1 ]$$

Whakaoti mō P

$$P = \frac{2865600}{41} = 69892\frac{28}{41} \approx 69892.682926829$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{5}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$7164=P\left(\left(1+\frac{1}{20}\right)^{2}-1\right)$$

Tāpirihia te 1 ki te \frac{1}{20}, ka \frac{21}{20}.

$$7164=P\left(\left(\frac{21}{20}\right)^{2}-1\right)$$

Tātaihia te \frac{21}{20} mā te pū o 2, kia riro ko \frac{441}{400}.

$$7164=P\left(\frac{441}{400}-1\right)$$

Tangohia te 1 i te \frac{441}{400}, ka \frac{41}{400}.

$$7164=P\times \frac{41}{400}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$P\times \frac{41}{400}=7164$$

Me whakarea ngā taha e rua ki te \frac{400}{41}, te tau utu o \frac{41}{400}.

$$P=7164\times \frac{400}{41}$$

Whakareatia te 7164 ki te \frac{400}{41}, ka \frac{2865600}{41}.

$$P=\frac{2865600}{41}$$