There are 20 parrots at the animal sanctuary. Their population is increasing by 5 parrots each year. There are also 24 snakes at the sanctuary. Each year 4 more snakes are born. Part A: Write a function to represent the numbers of parrots at the sanctuary throughout the years. (6 points) Part B: Write a function to represent the numbers of snakes at the sanctuary throughout the years, (6 points) Part C: How many parrots are at the sanctuary after 10 years? How many snakes are at the sanctuary after the same number of years? Assume there are no deaths to the animals during this time. (6 points) Part D: After approximately how many years is the number of parrots and snakes the same? Justify your answer mathematically. (7 points)

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?