JAMB Mathematics Past Questions & Answers - Page 301

The cost of normal work = 35r

The cost of overtime = q x 2r = 2qr

The man's total weekly earning = 35r + 2qr

= r(35 + 2q)

V\(\pi\)r²h = \(\pi\)(3)²(10) = 90\(\pi\)cm³

V = \(\pi\)(5)² x 18 = 450\(\pi\)cm³

No of volume = \(\frac{450\pi}{90\pi}\)

= 5

selling price = 5 x N15 = N75

profit = N75 - N50 = N25.00

\(\frac{k}{\sqrt{3} + \sqrt{2}}\) = k\(\sqrt{3 - 2}\)

\(\frac{k}{\sqrt{3} + \sqrt{2}}\) x \(\frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} - \sqrt{2}}\)

= k\(\sqrt{3 - 2}\)

= k(\(\sqrt{3} - \sqrt{2}\))

= k\(\sqrt{3 - 2}\)

= k\(\sqrt{3}\) - k\(\sqrt{2}\)

= k\(\sqrt{3 - 2}\)

k2 = \(\sqrt{2}\)

k = \(\frac{2}{\sqrt{2}}\)

= \(\sqrt{2}\)

log₄(y - 1) + log₄(\(\frac{1}{2}\)x) = 1

log₄(y - 1)(\(\frac{1}{2}\)x) \(\to\) (y - 1)(\(\frac{1}{2}\)x) = 4 ........(1)

log₂(y + 1) + log₂x = 2

log₂(y + 1)x = 2 \(\to\) (y + 1)x = 2₂ = 4.....(ii)

From equation (ii) x = \(\frac{4}{y + 1}\)........(iii)

put equation (iii) in (i) = y (y - 1)[\(\frac{1}{2}(\frac{4}{y - 1}\))] = 4

= 2y - 2

= 4y + 4

2y = -6

y = -3

x = \(\frac{4}{-3 + 1}\)

= \(\frac{4}{-2}\)

X = 2

therefore x = -2, y = -3

c^{\(\frac{1}{3}\)} = a^{\(\frac{1}{2}\)}b

= a^{\(\frac{1}{2}\)}b x a^-2

= a^{-\(\frac{3}{2}\)}

= (c^{\(\frac{1}{3}\)})³

= (a^{-\(\frac{3}{2}\)})^{\(\frac{1}{3}\)}

c = a^{-\(\frac{1}{2}\)}