When shares are sold at less than the nominal value, it means they are issued at
A premium
A loss
A discount
Par
Correct answer is C
No explanation has been provided for this answer.
Express \(\frac{x^{2} + x + 4}{(1 - x)(x^{2} + 1)}\) in partial fractions.
\(\frac{x^{2}}{x^{2} + 1} + \frac{x + 4}{1 - x}\)
\(\frac{3}{1 - x} + \frac{2x + 1}{x^{2} + 1}\)
\(\frac{x^{2}}{1 - x} + \frac{x + 4}{x^{2} + 1}\)
\(\frac{3}{1 - x} + \frac{2x + 2}{x^{2} + 1}\)
Correct answer is B
\(\frac{x^{2} + x + 4}{(1 - x)(x^{2} + 1)} = \frac{A}{1 - x} + \frac{Bx + C}{x^{2} + 1}\)
= \(\frac{A(x^{2} + 1) + (Bx + C)(1 - x)}{(1 - x)(x^{2} + 1)}\)
\(\implies x^{2} + x + 4 = A(x^{2} + 1) + (Bx + C)(1 - x)\)
\(x^{2} + x + 4 = Ax^{2} + A + Bx - Bx^{2} - Cx + C\)
\(\implies (A - B)x^{2} = x^{2}; A - B = 1 ...... (i)\)
\((B - C)x = x; B - C = 1 ..... (ii)\)
\(A + C = 4 ...... (iii)\)
Solving the above simultaneous equations by any of the known methods, we get
\(A = 3, B = 2, C = 1\)
\(\therefore \frac{x^{2} + x + 4}{(1 - x)(x^{2} + 1)} = \frac{3}{1 - x} + \frac{2x + 1}{x^{2} + 1}\)
Which of the following is a capital reserve?
Profit and loss account balance
Share premium
Gross profit
Share discount
Correct answer is B
No explanation has been provided for this answer.
0.20 mm/s
0.08 mm/s
0.25 mm/s
0.05 mm/s
Correct answer is B
Given: \(\frac{\mathrm d A}{\mathrm d t} = 4 mm^{2}/s\)
\(\frac{\mathrm d A}{\mathrm d t} = (\frac{\mathrm d A}{\mathrm d r})(\frac{\mathrm d r}{\mathrm d t})\)
\(A = \pi r^{2} \implies \frac{\mathrm d A}{\mathrm d r} = 2\pi r\)
\(\implies 4 = 2\pi r \times \frac{\mathrm d r}{\mathrm d t}\)
\(\frac{\mathrm d r}{\mathrm d t} = \frac{4}{2\pi r} = \frac{4 \times 7}{2 \times 22 \times 8}\)
= \(0.07954 mm/s \approxeq 0.08 mm/s\)
GH¢ 5.65
GH¢ 5.66
GH¢ 6.5
GH¢ 6.56
Correct answer is B
| \(x\) | \(x - \bar{x}\) | \((x - \bar{x})^{2}\) |
|
26.00 |
-6 | 36 |
| 39.00 | 7 | 49 |
| 33.00 | 1 | 1 |
| 25.00 | -7 | 49 |
| 37.00 | 5 | 25 |
| \(\sum (x - \bar{x})^{2}\)=160 |
\(S.D = \sqrt{\frac{(x - \bar{x})^{2}}{n}}\)
\(S.D = \sqrt{\frac{160}{5}} = \sqrt{32}\)
= \(GH¢ 5.656 \approxeq GH¢ 5.66\)