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Patrick and Brooklyn are making decisions about their bank accounts. Patrick wants to deposit $300 as a principle amount, with an interest of 3% compounded quarterly. Brooklyn wants to deposit $300 as the principle amount, with an interest of 5% compounded monthly. Explain which method results in more money after 2 years. Show all work.

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3% compounded quarterly
\[300\times \left(1+\frac{.03}{4}\right)^{4\times 2}\]

5% compounded monthly
\[300\times \left(1+\frac{.05}{12}\right)^{2\times 12}\]

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