347950=x*[(1-(1+\frac{0.0045)/(52))^{-260}}{(0.0045)/(52)}]

解

347950 = x \cdot [\frac{1 - ( 1 + \frac{0.0045}{52} ) ^{- 260}}{\frac{0.0045}{52}}]

x = \frac{52.004 5 ^{260} \cdot 1565.775}{52 \cdot 52.004 5 ^{260} - 5 2 ^{261}}

解答ステップ

347950 = x [\frac{1 - ( 1 + \frac{0.0045}{52} ) ^{- 260}}{\frac{0.0045}{52}}]

辺を交換する

x [\frac{1 - ( 1 + \frac{0.0045}{52} ) ^{- 260}}{\frac{0.0045}{52}}] = 347950

簡素化

\frac{1 - ( 1 + \frac{0.0045}{52} ) ^{- 260}}{\frac{0.0045}{52}} : \frac{52 \cdot 52.004 5 ^{260} - 5 2 ^{261}}{0.0045 \cdot 52.004 5 ^{260}}

x \frac{52 \cdot 52.004 5 ^{260} - 5 2 ^{261}}{0.0045 \cdot 52.004 5 ^{260}} = 347950

以下で両辺を乗じる:

0.0045 \cdot 52.004 5^{260}

(52 \cdot 52.004 5^{260} - 5 2^{261}) x = 52.004 5^{260} \cdot 1565.775

以下で両辺を割る

52 \cdot 52.004 5^{260} - 5 2^{261}

x = \frac{52.004 5 ^{260} \cdot 1565.775}{52 \cdot 52.004 5 ^{260} - 5 2 ^{261}}