簡約 ((81000)/(0.059))(1-(1/((1.059)^{30)}))

解

簡約

(\frac{81000}{0.059}) (1 - (\frac{1}{( 1.059 ) ^{30}}))

1126983.80460 \dots

解答ステップ

(\frac{81000}{0.059}) (1 - (\frac{1}{1.05 9 ^{30}}))

括弧を削除する:

(a) = a

= \frac{81000}{0.059} (1 - \frac{1}{1.05 9 ^{30}})

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{81000 ( 1 - \frac{1}{1.05 9 ^{30}} )}{0.059}

1.05 9^{30} = 5.58314 \dots

= \frac{81000 ( - \frac{1}{5.58314 \dots} + 1 )}{0.059}

数を割る:

\frac{1}{5.58314 \dots} = 0.17911 \dots

= \frac{81000 ( 1 - 0.17911 \dots )}{0.059}

81000 (1 - 0.17911 \dots) = 66492.04447 \dots

= \frac{66492.04447 \dots}{0.059}

数を割る:

\frac{66492.04447 \dots}{0.059} = 1126983.80460 \dots

= 1126983.80460 \dots