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DIA [1.3K]
4 years ago
6

Ethan has $240,000 to invest today at an annual interest rate of 4%. Approximately how many years will it take before the invest

ment grows to $486,000?
Business
1 answer:
N76 [4]4 years ago
5 0

Answer:

17.98972134

<em>18 years</em>

Explanation:

Using the compound interest formula we can solve for time

Principal * (1+ r)^{time} = Amount

We post our know values

240,000* (1+ 0.04)^{time} = 486,000

And solve for the unknow

(1.04)^{time} =486,000/240,000\\(1.04)^{time} = 2.025

Now we have to use log properties to solve for time

log_{1.04}2.025 = time

\frac{\log 2.025}{\log 1.04} =17.98972134

It will take 18 years

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2 years ago
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