(a) 5000(1.063)n A1 N1 (b) Value = $ 5000(1.063)5 (= $ 6786.3511…) = $ 6790 to 3 s.f. (accept $ 6786, or $ 6786.35) A1 N1 (c) (i) 5000(1.063)n >10 000 (or (1 .063)n > 2) A1 N1 (ii) Attempting to solve the above inequality log (1.063) > log 2 (M1) n 11.345... (A1) n > 12 years A1 N3 Note: Candidates are likely to use TABLE or LIST on a GDC to find A good way of communicating this is suggested below. n. Let = 1.063x (M1) y When = 11, = 1.9582, when = 12, = 2.0816 (A1) x y x y = 12 i.e. 12 years A1 N3 x [6]
(a) 5000(1.063)n A1 N1 (b) Value = $ 5000(1.063)5 (= $ 6786.3511…) = $ 6790 to 3 s.f. (accept $ 6786, or $ 6786.35) A1 N1 (c) (i) 5000(1.063)n >10 000 (or (1 .063)n > 2) A1 N1 (ii) Attempting to solve the above inequality n log (1.063) > log 2 (M1) n > 11.345... (A1) 12 years A1 N3 Note: Candidates are likely to use TABLE or LIST on a GDC to find n. A good way of communicating this is suggested below. Let y = 1.063x (M1) When x = 11, y = 1.9582, when x = 12, y = 2.0816 (A1) x = 12 i.e. 12 years A1 N3 [6]
Past-exam-questions-Solutions.docx