3 (a) The value of Priya’s car decreases by 10% every year. The value today is $7695. (i) Calculate the value of the car after one year. $ ................................................ [2] (ii) Calculate the value of the car one year ago. $ ................................................ [2] (b) Ali invests $600 at a rate of 2% per year simple interest. Calculate the value of Ali’s investment at the end of 5 years. $ ................................................ [3] (c) Sara invests $500 at a rate of r % per year compound interest. At the end of 12 years, the value of Sara’s investment is $601.35, correct to the nearest cent. Find the value of r. r = ................................................ [3] © UCLES 2023 0580/42/O/N/23 5 (d) The mass of a radioactive substance decreases exponentially at a rate of 3% each day. (i) Find the overall percentage decrease at the end of 10 days. ............................................. % [2] (ii) Find the number of whole days it takes until the mass of this substance is one half of its original amount. ................................................. [3] © UCLES 2023 0580/42/O/N/23 [Turn over 6