Please try and answer question 13, 14 & 15, thanks 13. The present value of a vehicle

Please try and answer question 13, 14 & 15, thanks

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13. The present value of a vehicle is $30 000. It depreciates each year according to this table. Year (y) Value (v) ($) 25 500 a) Write an equation to determine the value of the car after x years. Write the equation in y = a(b*) form. 1 2 3 21 675 18 423.75 15 660.19 4 5 13 311.16 6 11314.48 c) Determine the value of the car in 10 years. 14. A colony of 8 000 bees doubles (b=2) in number every month. a) Write an equation to model the bee population after n months. b) How many bees will be in the colony after 3 months? b) What is the depreciation rate for this vehicle per year expressed as a percent? Hint: rate = 1 - b, b =constant ratio c) How long will it take the colony to reach a population of 512000? Hint: x = log log (r) t 15. Radium-226 is a radioactive substance with a half-life of 1600 years. Therefore Mass = 100 (0.51600), assuming the original concentration is 100%, ie a=100 a) What percent of radium-226 remains after 9 000 years? b) How long will it take for 10% of the radium-226 to remain (lost 90%)? Hint: x = log log (r) 13. The present value of a vehicle is $30 000. It depreciates each year according to this table. Year (y) Value (v) ($) 25 500 a) Write an equation to determine the value of the car after x years. Write the equation in y = a(b*) form. 1 2 3 21 675 18 423.75 15 660.19 4 5 13 311.16 6 11314.48 c) Determine the value of the car in 10 years. 14. A colony of 8 000 bees doubles (b=2) in number every month. a) Write an equation to model the bee population after n months. b) How many bees will be in the colony after 3 months? b) What is the depreciation rate for this vehicle per year expressed as a percent? Hint: rate = 1 - b, b =constant ratio c) How long will it take the colony to reach a population of 512000? Hint: x = log log (r) t 15. Radium-226 is a radioactive substance with a half-life of 1600 years. Therefore Mass = 100 (0.51600), assuming the original concentration is 100%, ie a=100 a) What percent of radium-226 remains after 9 000 years? b) How long will it take for 10% of the radium-226 to remain (lost 90%)? Hint: x = log log (r)