Solution:
To calculate the amount to which #3000.00 will grow in 5 years at a 6% per annum simple interest, we can use the formula:

Amount = Principal + (Principal * Rate * Time)

Where:
Principal = #3000.00 (initial amount)
Rate = 6% per annum = 6/100 = 0.06 (converted to decimal)
Time = 5 years
Amount = 3000.00 + (3000.00 * 0.06 * 5)
= 3000.00 + (3000.00 * 0.30)
= 3000.00 + 900.00
= #3900.00

Therefore, #3000.00 will amount to #3900.00 after 5 years at a 6% per annum simple interest.