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Popular Word Problems >

Find the accumulated value of an investment of 1000 at 5% compounded continuously for 5 years.

Solution

solve for

t h e a cc u m u l a t e d v a l u e o f an in v es t m e n t o f 1000 a t 5% co m p o u n d e d co n t in u o u s l y f or 5 ye a rs .

Solution

Amount : 1284.03

Solution steps

Translate the problem into an equation:

A = 1000 e^{0.05 \cdot 5}

1000 e^{0.05 \cdot 5} = 1284.02541 \dots

Round to the nearest hundredth:

1284.03

Amount : 1284.03

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