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Estimate 1.05 to the 8th power

Asked at IMC, SIG

Solve in your head.

Estimate (1.05)8(1.05)^8 to three decimal places. Aim: under 20 seconds.

Show a hint

Simple interest says +40%+40\%. With a larger rate like 5%5\%, the quadratic term matters more and even the cubic term is worth a glance.

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