7. Carbon-14 has a half-life of 5730 years. a) If you start with 16 g, how...

 

Transcribed Image Text:

7. Carbon-14 has a half-life of 5730 years. a) If you start with 16 g, how much is left after 51 570 years? b) How long does it take to decay to the point where there is 0.25 g if you start with 16 g? c) A bone is found in which of the original carbon-14 has decayed. How old is the bone? 8. The formula for the amount earned at compound interest is A = P(1+i)". a) What would $3000 invested at 7% per annum for 8 years grow to? MI-IF 41JB b) What interest rate would cause $2000 to grow to $4000 after 12 years? 9. Alberta has a population growth rate of 3.1% per year. Its population in 2007 was approximately 3.5 million. a) Write an expression that predicts Alberta's population. (Use 2007 as year O.) b) Predict Alberta's population in 2017 if the 2007 growth rate continues. c) If the growth rate has been consistent, what was Alberta's population in 1997? 41JB KEY QUESTIONS Lesson 1 1. Knowledge/Understanding [8, 6, 6 marks] a) Write each of the following as a single power. i) (2425) ii) 3934 3 iii) 66 52 53 iv) 54 x 5 7. Carbon-14 has a half-life of 5730 years. a) If you start with 16 g, how much is left after 51 570 years? b) How long does it take to decay to the point where there is 0.25 g if you start with 16 g? c) A bone is found in which of the original carbon-14 has decayed. How old is the bone? 8. The formula for the amount earned at compound interest is A = P(1+i)". a) What would $3000 invested at 7% per annum for 8 years grow to? MI-IF 41JB b) What interest rate would cause $2000 to grow to $4000 after 12 years? 9. Alberta has a population growth rate of 3.1% per year. Its population in 2007 was approximately 3.5 million. a) Write an expression that predicts Alberta's population. (Use 2007 as year O.) b) Predict Alberta's population in 2017 if the 2007 growth rate continues. c) If the growth rate has been consistent, what was Alberta's population in 1997? 41JB KEY QUESTIONS Lesson 1 1. Knowledge/Understanding [8, 6, 6 marks] a) Write each of the following as a single power. i) (2425) ii) 3934 3 iii) 66 52 53 iv) 54 x 5