The formula for determining compound interest that is compounded continuously is expressed as
A = Pe^rt
where
A is the amount after t years
P is the principal or initial amount
r is the interest rate
t is the duration in years
e is exponent
From the information given,
A = 13300
r = 4.2/100 = 0.042
t = 5
Thus, we have
13300 = Pe^(0.042 x 5)
13300 = 1.23368P
P = 13300/1.23368
P = 10780.75
The amount to be deposited is $10780.75