When a Child Was Born, Her Grandparents Deposited $1000 in a Saving

When a child was born, her grandparents deposited $1000 in a saving account at 5% interest compounded continuously. The amount of money after t years is:

A) $1000 \left( 2 ^ { t } \right)$
B) $1000 \left( e ^ { t } \right)$
C) $500 \left( e ^ { t } \right)$
D) $500 \left( 3 ^ { t } \right)$
E) $1000 \left( e ^ { - 0.05 t } \right)$
F) $1000 \left( e ^ { 0.05 t } \right)$
G) $500 \left( e ^ { 0.1 t } \right)$
H) $1000 \left( e ^ { 2 t } \right)$