Question 1

(a) The Long Center Company wants to build a new theater such that the first row has 36 seats and each succeeding row has two additional seats. This theater will have a total of 3000 seats. How many seats will be in the last row ? (3 marks)

(b) A machine costs $5600 when bought new. It depreciates (decreases in value) 20% of its value after each full year. What is the value of the machine after 10 years (4 marks)

(c) A ball bounces 65% of its previous height after each bounce. If the ball is dropped from 15.0 m :

(i) Determine the , and . (4 marks)

(ii) What height does the ball reach after 9 bounces ? (nearest tenth of a cm). (4 marks)

(iii) After how many bounces will the ball reach a maximum height less than 1 cm ? (5 marks)

(iv) What is the total vertical distance the ball has travelled when it hits the floor for the eight time ? (5 marks)