The estimated value of a diamond purchased for investment purposes is determined by $S(t)=250(1.75)^{\sqrt[4]{t}}$. If the rate of depreciation is $7 \%$ under continuous compounding, how much should the diamond be held to maximize its current price?
I dont get how can i apply the 7 percent under continuous compounding to the equation. And also after apply it how can I find the the present value of the diamond?