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Beliebt Word Problems >

Denise opened a savings account 3 years ago. The account earns 5% interest, compounded continuously. If the current balance is 800.00, how much did she deposit initially?

Lösung

De ni se o p e n e d a s a v in g s a cco u n t 3 ye a rs a g o . T h e a cco u n t e a r n s 5% in t eres t, co m p o u n d e d co n t in u o u s l y . I f t h e c u rre n t ba l an ce i s 800.00, h o w m u c h d i d s h e d e p os i t ini t ia ll y ?

Lösung

Principal : 688.57

Schritte zur Lösung

Translate the problem into an equation:

800 = P e^{0.05 \cdot 3}

Löse nach

P, 800 = P e^{0.05 \cdot 3} : P = 688.57

Principal : 688.57

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