Answer
a) $26413.5$
b) $32913.27$
c) $43331.3$
Work Step by Step
In the formula for continuous compounding
let $P=\$25.000$
$r=0.055$
a) $t=1$
$A=Pe^{rt}=25000e^{0.055} \approx 26413.5$
b) $t=5$
$A=Pe^{rt}=25000e^{0.055(5)}\approx 32913.27$
c) $t=10$
$A=Pe^{rt}=25000e^{0.055(10)}\approx 43331.3$