$1.)$ In $40$ years, Blake wants to have $$1000000.$ He plans to invest less than $$10000$ now. Which of these investment options would allow him to invest the least and still meet his goal? Justify your choice.

A$.12\mathrm{.}6\%,$ compounded annually

B$.11\mathrm{.}9\%,$ compounded semi$-$annually

C$.13\mathrm{.}2\%,$ compounded quarterly

D$.11\mathrm{.}53\%,$ compounded weekly

$2.)$ Franco invested money at $6\mathrm{.}9\%,$ compounded annually, while David invested money at $6\mathrm{.}9\%,$ compounded monthly. After $30$ years, each investment is worth $$25000.$ Who made the greater original investment, and by how much was it greater?