$3$a$.$ Bayley wants to donate to a charity. She wants to know how much she should invest now, so that in $14$ years, witha continuously compounded interest rate of $1\mathrm{.}6\%,$ her donation will be $$75,000.$

Choose the equation below that best describes the situation above

A$.75,000e^{0\mathrm{.}016*14}$

B$.75,000e^{-0\mathrm{.}016*14}$

C$.\frac{75,000}{0\mathrm{.}016}(1-e^{-0\mathrm{.}016*14})$

D$.\frac{75,000}{0\mathrm{.}016}(e^{0\mathrm{.}016*14}-1)$