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enyata [817]
2 years ago
14

How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?

Mathematics
1 answer:
Elza [17]2 years ago
7 0

Answer:

1. 15.9 years

Step-by-step explanation:

You must solve this equation:

6000 \cdot 1.091^n > 24000

So 1.091^n > 4

Take the log left and right:

\log 1.091^n > \log 4

use the log property that you can put the exponent in front:

n \cdot \log 1.091 > \log 4

n > \frac{\log 4}{\log 1.091}

n > 15.917

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