vereinfachen 2000(1+(0.09)/(12))^{60}

Lösung

vereinfachen

2000 (1 + \frac{0.09}{12})^{60}

\frac{40 3 ^{60}}{5 ^{117} \cdot 1 6 ^{59}}

Dezimale

3131.36205 \dots

Schritte zur Lösung

2000 (1 + \frac{0.09}{12})^{60}

Vereinfache

1 + \frac{0.09}{12} : \frac{403}{400}

= 2000 (\frac{403}{400})^{60}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{403}{400})^{60} = \frac{40 3 ^{60}}{40 0 ^{60}}

= 2000 \cdot \frac{40 3 ^{60}}{40 0 ^{60}}

2000 \cdot \frac{40 3 ^{60}}{40 0 ^{60}} = \frac{40 3 ^{60}}{5 ^{117} \cdot 1 6 ^{59}}

= \frac{40 3 ^{60}}{5 ^{117} \cdot 1 6 ^{59}}

\frac{x ^{2}}{4} - \frac{5 x}{2} + 4 = 0

35 k^{2} - 22 k + 7 = 4

\frac{x + 2}{2} + 2 = \frac{x + 3}{5}

10 = - 4.9 t^{2} + 18.01 t

f a c t or 2 w^{4} - 7 w^{3} - 15 w^{2}