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SOVA2 [1]
3 years ago
11

Five thousand dollars compounded annually at an $x\%$ interest rate takes six years to double. At the same interest rate, how ma

ny years will it take $\$300$ to grow to $\$9600$? Your Answer
Business
1 answer:
Lana71 [14]3 years ago
4 0

30 years

<u>Explanation:</u>

<u>In order to find out the number of years, the following calculation is needed to be made. </u>

As per the given data, it has been given that $5000 doubles in 6 years

10,000=5000(1+x / 100)^{\wedge} 6

Now, dividing both sides by 5000

2=(1+x / 100)^{\wedge 6}

on solving the above equation, we get

x = 12.246

at the same interest rate

9600=300(1+.12246)^{\wedge} \mathrm{t}

t = 30

so, in 30 years $ 300 will grow to $ 9600

Thus, the correct answer is 30 years.

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