SECTION II
Only TWO questions should be attempted from this Section.
Marks
9. Write down a formula for the amount at compound interest
of £1 at the end of n years at r per cent per annum.
A man is appointed to a post at an initial salary of £500 per
annum with an annual increment of £40. Find the total
salary he will receive in the first 10 years of his employment.
The firm credits him with £50 deferred pay at the end of
each completed year of service. If these sums earn interest
at 4 per cent per annum compound interest, find the amount
of deferred pay plus interest expected by the man if he
leaves the firm after completing 25 years service.
Take log10 1 ■ 04 = 0 • 0170333. (14)
10. Write down the condition that the roots of the equation
ax2 + /jv + c = 0 are not real.
^.2 I A
Show that, if y = ——— then, for real values of x, y cannot
x
lie between —4 and +4.
Ify =
5
+ 3 cos 9, eXpress^ jn terms of t, where t = tan
sin 9
Hence or otherwise determine the maximum and minimum
values of y and the corresponding values of 9 between 0°
and 360°/ (14)
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