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شائع Word Problems >

Boris wants to buy a bond that will mature to 6500 in seven years. How much should he pay for the bond now if it earns interest at a rate of 4% per year, compounded continuously?

الحلّ

B or i s w an t s t o b u y a b o n d t ha t w i ll ma t u re t o 6500 in se v e n ye a rs . Ho w m u c h s h o u l d h e p a y f or t h e b o n d n o w i f i t e a r n s in t eres t a t a r a t e o f 4% p er ye a r, co m p o u n d e d co n t in u o u s l y ?

الحلّ

Principal : 4912.59

خطوات الحلّ

Translate the problem into an equation:

6500 = P e^{0.04 \cdot 7}

6500 = P e^{0.04 \cdot 7}, P

حلّ لـ:

P = 4912.59

Principal : 4912.59

أمثلة شائعة

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