QUESTION $1$

Three years ago, Molly invested $$7,530\mathrm{.}00.$ She has earned and will earn compound interest of $3\mathrm{.}10$ percent per year. In one year from today, Sadie can make an investment and earn simple interest of $13\mathrm{.}02$ percent per year. If Sadie wants to have as much in $5$ years from today as Molly will have in $5$ years from today, then how much should Sadie invest in one year from today?

An amount equal to or greater than $$8,127\mathrm{.}00$ but less than $$8,977\mathrm{.}00$

An amount equal to or greater than $$3,515\mathrm{.}00$ but less than $$5,514\mathrm{.}00$

An amount equal to or greater than $$7,011\mathrm{.}00$ but less than $$8,127\mathrm{.}00$

An amount equal to or greater than $$5,514\mathrm{.}00$ but less than $$7,011\mathrm{.}00$

An amount less than $$3,515\mathrm{.}00$ or an amount greater than $$8,977\mathrm{.}00$