\(\frac{√2/3 - 1}{(√3/3)(1)}\) = \(\frac{√3-3}{√3}\)

The graph shows the relation of the form y = mx\(^2\) + nx + r, where m, n and r are constants.

Using the graph:

(a) state the scale used on both axes; (b) find the values of m, n and r; (c) find the gradient of the line through P and Q; (d) state the range of values of x for which y > Q.

(a) A man purchased 180 copies of a book at N250.00 each. He sold y copies at N300.00 each and the rest at a discount of 5 kobo in the Naira of the cost price.

If he made a profit of N7,125.00, find the value of y.

(b) A trader bought x bags of rice at a cost C = 24x + 103 and sold them at a price, S = \(\frac{x^2}{20} - 33x\).

Find the expression for the profit (i) If 20 bags of rice were sold,

(ii) calculate the percentage profit.

The table shows the monthly expenditure (in percentages) of Mr. Okafor's salary.

(a) Calculate the percentage of Mr. Okafor's salary that was put into savings.

(b) Illustrate the information on a pie chart.

(c) If Mr. Okafor's annual gross salary is $28,800.00 and he pays tax of 12%.

Calculate; (i) his monthly tax; (ii) the amount saved each month.

(a) Copy and complete the table of values for y = 3Sinx + 7Cosx for 0°

(b) Using a scale of 2cm to 20° on the x-axis and 2cm to 2 units on the y-axis, draw the graph of y = 3Sinx + 7Cosx for 0°

(c) Using the graph, find the;

(i) value of y when x= 150°,

(i) range of values of x for which y > 0.