A Deposit of $6500 Is Made in an Account That $A$

Multiple Choice

A deposit of $6500 is made in an account that pays 6% compounded every 3 months. The amount $A$ in the account after $t$ years is $A = 6500 ( 1 + 0.015 ) ^ { \left[ \frac { 12 } { 3 } t \right] }$ , t $\geq 0$ . What are the points of discontinuity of graph of $A = 6500 ( 1 + 0.015 ) ^ { \left[ \frac { 12 } { 3 } t \right] }$ ? (Here, the brackets indicate the greatest integer function.)

A) $0 , \frac { 1 } { 3 } , \frac { 2 } { 3 } , \frac { 1 } { 1 } , \ldots$
B) $0,1,2 , \ldots$
C) $3,6,9 , \ldots$
D) $1,2,3 , \ldots$
E) $\frac { 1 } { 4 } , \frac { 1 } { 2 } , \frac { 3 } { 4 } , \ldots$