(b) A virus is believed to be spreading through a sheep farm according to that equationN = 450 249-0) whereNis the number of sheep infected and t is the number of days.(i) How many sheep are infected at t = 0?(ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30,50, 70, 100 days)(iii) Will all the sheep become infected eventually? Give reasons to support your answer. (a) If Daniella opens a mutual fund account with a deposit of $15,000 and it promises topay an annual interest rate of r%, compounded on a monthly basis.(i) Derive a function B, which shows the balance on Daniella's account the end of 6 years.(ii) Make a comparison of the rates of change in B with resect to the interest rate when r is8%, 10% and 12%.

(b). (i) The given equation is Nt=45011+249e-0.1t. Substitute t=0 in Nt=45011+249e-0.1t.…

(b) A virus is believed to be spreading through a sheep farm according to that equation 1 N = 450 (+ 249-ar) where N is the number of sheep infected and t is the number of days. (1) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30,50, 70, 100 days) (iii) Will all the sheep become infected eventually? Give reasons to support your answer.