6. The initial population of a bird colony is known to be 350 and after one year, this population has grown to 490. The population growth is known to be exponential. Find an equation which gives the population (P) at any time (t years) after the initial population was discovered. Predict the population after 5 years. 7. The value (V) in dollars, of a rare Australian stamp was found to increase in value according to the equation: tV = 180(1.055) where t is the time in years) after 1980. Find: a) the value of this stamp in 1980 b) the value of the stamp in 1986 (to the nearest dollar) 8. A particular bird population can be calculated at any time (t), in years by using the formula: 2012) 3t P a) are the bird numbers increasing or decreasing? b) what is the initial population? c) what is the percentage of increase / decrease each year? 9. A pre-owned car was purchased in January 1992 for $31900. If the value of the car depreciates by 8% each year, find: a) an equation for the value (V) of the car at any time (t years) after the purchase. b) the value of the car after 2 years. English (United States) o search ^ 6. The initial population of a bird colony is known to be 350 and after one year, this population has grown to 490. The population growth is known to be exponential. Find an equation which gives the population (P) at any time (t years) after the initial population was discovered. Predict the population after 5 years. 7. The value (V) in dollars, of a rare Australian stamp was found to increase in value according to the equation: tV = 180(1.055) where t is the time in years) after 1980. Find: a) the value of this stamp in 1980 b) the value of the stamp in 1986 (to the nearest dollar) 8. A particular bird population can be calculated at any time (t), in years by using the formula: 2012) 3t P a) are the bird numbers increasing or decreasing? b) what is the initial population? c) what is the percentage of increase / decrease each year? 9. A pre-owned car was purchased in January 1992 for $31900. If the value of the car depreciates by 8% each year, find: a) an equation for the value (V) of the car at any time (t years) after the purchase. b) the value of the car after 2 years. English (United States) o search ^