I have a couple multiple choice questions on differential equations and their applications and i'm really not understanding the concept. can someone help? (2/2)

Newton's heating-cooling lawr states that the rate of change in the temperature. H. is proportional to the difference between the oblect and the surrounding temperature. Let H{t) be the temperature of the object being heated and S be the surrounding temperature. A cold object at 35 degree is placed in an oven at 350 degrees Fahrenheit and after 30 minutes the object is 100 degrees. Write and solve the differential equation which describes the temperature of the object ever time. where time is measu r e d in hours. 0 H\") = 100 _ 35804622: O H(t) = 350 315e'0-4522' 0 H\") = 100 _ 315:; 0.4622! 0 H\") = 350 _ woe0.4522: If investment A has continuously compounded interest and an annual return of 3%, and Jane has $100 after 5 years, how many mo years does she need to wait until she has $200? Round to the nearest years. O 10 O 18 O 23 O 30A population of wasps. W, are growing at the rate proportional (2000 - W). After 10 days the wasps were counted and there were 300 wasps. After 15 days there were 600 wasps. When will there be 1999 wasps? Round to the nearest day. 0 400 O 250 O 202 O 100