Plz me

derek and susan each open interest-bearing accounts in a bank and put the same amount of money into their accounts. derek's account earns simple interest. the balance, in dollars, in derek's account after t years is represented by the function d.

d(t)=500(1+2.5t)

susan's account earns interest at a lesser rate than derek's account, but the interest is compounded annually. the balance, in dollars, in susan's account after t years is represented by the function

s. s(t)=500(1+1.8)^t

which statement is true?

a. at first derek's account balance will be greater, but eventually susan's account balance will be greater.

b. derek's account balance will always be greater than susan's account balance.

c. susan's account balance will always be greater than derek's account balance.

d. at first susan's account balance will be greater, but eventually derek's account balance will be greater.