The formula for compound interest is:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
Using this formula, we can calculate the compound interest on $5000.00 for 2 years at 10% per annum:
A = 5000(1 + 0.10/1)^(1*2)
A = 5000(1.1)^2
A = 5000(1.21)
A = $6050.00
Therefore, the compound interest on $5000.00 for 2 years at 10% per annum is $1050.00 ($6050.00 - $5000.00).