vereinfachen (80)/(0.07)(1-1/((1.035)^{10)})+(1000)/(1.035^{10)}

Lösung

vereinfachen

\frac{80}{0.07} (1 - \frac{1}{( 1.035 ) ^{10}}) + \frac{1000}{1.03 5 ^{10}}

1041.58302 \dots

Schritte zur Lösung

\frac{80}{0.07} (1 - \frac{1}{1.03 5 ^{10}}) + \frac{1000}{1.03 5 ^{10}}

\frac{80}{0.07} (1 - \frac{1}{1.03 5 ^{10}}) = 0.29108 \dots \cdot \frac{80}{0.07}

= 0.29108 \dots \cdot \frac{80}{0.07} + \frac{1000}{1.03 5 ^{10}}

\frac{80}{0.07} \cdot 0.29108 \dots = 332.66421 \dots

\frac{1000}{1.03 5 ^{10}} = 708.91881 \dots

= 332.66421 \dots + 708.91881 \dots

Addiere die Zahlen:

332.66421 \dots + 708.91881 \dots = 1041.58302 \dots

= 1041.58302 \dots

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