1) There are 1000 turtles living in an island and their population is growing at a rate of k = 10% per year. Due to scarcity f food in the other islands, other turtles migrate to this island at a constant rate of 100 new arrivals per year. Determine the number of turtles that are living in this island after 7 years. 2) There are 1,000,000 bacteria that being cultures in a laboratory. The bacteria has a continuous growth rate of 1.5% per hour and death rate of 0.5% per hour. These bacteria are then used in experiments which extracts 5000 bacteria per hour from the culture. Determine the number of bacteria in the culture after 10 hours. 3) An ice cube was taken out of the freezer with a temperature of -18"C and place on a glass. The temperature in the room is 32"C. After one minute, the ice cube's temperature became -8"C. Determine the temperature of the ice after five minutes. 4) A murder was committed in a high-rise condominium. The police arrived at the crime scene and found the victim's body at 8:30 AM. The temperature of the body at this time is 30 C. The temperature of the condominium unit where the victim was found is 22C. The body was taken to forensic laboratory after one hour and its temperature at this time became 28"C. The normal temperature of a human body when it is alive is 37C. Determine the possible time that the murder happened