Please answer in full explanation

5. A rock sample containing 256 g of tungsten-187 decays until it contains only 0.25 g of tungsten-187. If the tungsten has a half-life of one day, how long would this take? (4 marks)

6. An investment can be modelled by the equation A = 2500(1.06 )t , where A represents the final amount of the investment and t represents the time in years. How many years would it take to have a final amount equal to $10 000? Round your answer to the nearest tenth of a year. (4 marks)

7. The surface area of a cylinder is given by the formula SA = 21rr2+21rrh, where r represents the radius and h represents the height. Solve the formula for h and then use it to complete the following table accurate to two decimal places. (8 marks) Cylinder A Cylinder B Cylinder C Surface Area. SA (cm2) 2500 \" Radius r(cm) -_ Height. h (cm)