Simplify \( \frac{3^n - 3^{n-1}}{3^3 \times 3^n - 27 \times 3^{n-1}} \)

The cost of production of an article is made up as follows: Labour ₦70, Power ₦15, Materials ₦30, Miscellaneous ₦5. Find the angle of the sector representing...

A man invested a total of ₦50000 in two companies. If these companies pay dividends of 6% and 8% respectively, how much did he invest at 8% if the total yiel...

Bola choose at random a number between 1 and 300. What is the probability that the number is divisible by 4?

Simplify \( \frac{\left(\frac{2}{3}-\frac{1}{5}\right)-\frac{1}{3}\text{ of }\frac{2}{5}}{3-\frac{1}{1\frac{1}{2}}} \)

P sold his bicycle to Q at a profit of 10%. How much did the bicycle cost P?

A variable point p(x, y) traces a graph in a two-dimensional plane. (0, 3) is one position of P. If x increases by 1 unit, y increases by 4 units. The equati...

If the price of oranges was raised by \( \frac{1}{2} \)k per orange. The number of oranges a customer can buy for ?2.40 will be less by 16. What is the prese...

Find, without using logarithm tables, the value of \( \frac{\log_{3} 27-\log_{\frac{1}{4}} 64}{\log_{3} \frac{1}{81}} \)