Answer with step-by-step solution.

3. A weed population covering 1000ha is increasing in size at a rate of 1% per year but a newly funded yearly weeding program (to be begun in 12 months) will eliminate a fixed area (L ha) each year. Economic constraints don't allow for a larger weeding program. (i) Explain clearly why the formula A1 = (1000 x 1.01)-L will give the size of the area covered by weeds after 1 year (immediately after the first weeding has been carried out). ( 3 marks)