Am I using the simple interest formula correctly?

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Sally has inherited a land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2017?

The answer is $484,000.

I tried using the simple interest formula $I = Prt$ to solve this problem. But I get $$I = 30,000*0.05*57 = $85500$$

What am I doing wrong?

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Should be compound interest, not simple interest.

$30000 \times (1.05)^{57} \approx 484073$

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My guess is you are meant to use compound interest for this. Simple interest does not make much sense for explaining the increase in value of an investment over such a long period of time.

Compounding investment returns is such a common assumption that whoever posed the problem probably thought it was not necessary to mention it.