The value of $1300invested at 4.2% interest compounded continuously for 5 years, 9 months

For continuously compounded interest:

Amount = Principle * e^(rate*time)
A = Pe^(rt)

Principle = 1300

Rate of 4.2% converted to decimal value: r=0.042
(Move decimal two places)

Time 5years 9months converted to years: 5.75
(9 months / 12 months = 0.75)

Plug in the values,

Amount = 1300 * e^(0.042 * 5.75)

And let your calculator do the rest.