$1-$Suppose you deposited $$2500$ in an account that pays $5\%$ interest compounded monthly, today the account value is $$5250,$ how many years has passed since you made the deposit?

a$)12\mathrm{.}40$ years

b$)15\mathrm{.}21$ years

c$)14\mathrm{.}87$ years

d$)12\mathrm{.}73$ years

e$)13\mathrm{.}43$ years