Determine whether each statement is true or false. (a) The present value of $5000 10 years from now invested at 1% compounded monthly is less than the present value of $5000 10 years from now invested at 1% compounded weekly. True or false

(b) ln(63) ln(54) is equal to ln(7/9) + ln(9/6). True or False

(c) ln(a + b) = ln(a)ln(b) for all a,b > 0 True or False

(d) The logistic growth model y = (8000)/(1+9e^(-0.6t)) is increasing fastest (i.e., the derivative, y', has a maximum value) at t = ln(9)/0.6. True or False

(e) ln(ab) = ln(a)ln(b) for all a,b > 0. True or False