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Home » A bank account balance triples every 5 years. If the initial balance is $1,000, what will it be after 15 years? - AMAZONAWS

A bank account balance triples every 5 years. If the initial balance is $1,000, what will it be after 15 years? - AMAZONAWS

📅 March 6, 2026 👤 scraface
Mar 06, 2026
A bank account balance triples every 5 years. If the initial balance is $1,000, what will it be after 15 years?

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📌 First, apply the Rational Root Theorem to test possible rational roots, which are factors of the constant term \(-4\) over factors of the leading coefficient \(2\): \( \pm 1, \pm 2, \pm 4, \pm rac{1}{2}, \pm rac{1}{4} \).
📌 x = rac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 2 \cdot 2}}{2 \cdot 2} = rac{5 \pm \sqrt{25 - 16}}{4} = rac{5 \pm \sqrt{9}}{4} = rac{5 \pm 3}{
📌 Erstens bemerken wir, dass \( 3x^4 + 12x^2 + 7 \) umgeschrieben werden kann, um eine Substitution widerzuspiegeln, die zur Form von \( f \) passt. Sei \( y = x^2 + 2 \). Dann ist \( x^2 = y - 2 \), und wir substituieren dies in das gegebene Polynom ein:

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