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شائع Word Problems >

You deposit 3000 in an account earning 5% interest compounded continuously. How much will you have in the account in 10 years?

الحلّ

Y o u d e p os i t 3000 in an a cco u n t e a r nin g 5% in t eres t co m p o u n d e d co n t in u o u s l y . Ho w m u c h w i ll yo u ha v e in t h e a cco u n t in 10 ye a rs ?

الحلّ

Amount : 4946.16

خطوات الحلّ

Translate the problem into an equation:

A = 3000 e^{0.05 \cdot 10}

3000 e^{0.05 \cdot 10} = 4946.16381 \dots

Round to the nearest hundredth:

4946.16

Amount : 4946.16

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