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QUESTION 8.1 POINT
If $20,000 is invested at 8.3% compounded continuously, how long, to the nearest tenth of a year will it take before the
investment doubles?

User Sungtae
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1 Answer

6 votes

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Answer:

8.4 years

Explanation:

The value of P compounded continuously at rate r for t years is ...

A = Pe^(rt)

Solving for t, we find ...

t = ln(A/P)/r = ln(2)/0.083 ≈ 8.35117

It will take about 8.4 years for the investment to double.

User Paul Schroeder
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