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amid [387]
3 years ago
12

How much would $500 invested at 8% interest compounded continuously be worth after 3 years? round your answer to the nearest cen

t?
Mathematics
2 answers:
erik [133]3 years ago
4 0
To solve this, you'll need the interest formula: <span> P(1 + rt). 

Then, plug in the numbers: 
$500(1.08*3) = $1,620. That's your answer.</span>
GaryK [48]3 years ago
4 0

Answer:

It would be worth $635,62.

Step-by-step explanation:

The amount that you will have saved after t years is given by the following equation.

P(t) = P(0)e^{rt}

In which P(t) is the amount after t years, P(0) is the initial amount invested and r is the interest rate, as a decimal.

In this problem, we have that:

P(0) = 500, r = 0.08, t = 3

So

P(t) = P(0)e^{rt}

P(t) = 500e^{0.08*3}

P(t) = 635.62

It would be worth $635,62.

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