Simplify $7\tfrac{1}{12}-4\tfrac{3}{4}+2\tfrac{1}{2}$

A man brought a second – hand photocopy machine for N34,000. He serviced it at a cost of N2,000 and sold it a profit of 15%. What was the selling price?

Solve ${{5}^{2(x-1)}}\times {{5}^{x+1}}=0.04$

Simplify $\frac{5+\sqrt{7}}{3+\sqrt{7}}$

I.  $S\cap T\cap W=S$

II. $S\cup T\cup W=W$

III. $T\cap W=S$

If  $S\subset T\subset W,$which of the above statement are true

A polynomial in x whose roots are $\tfrac{4}{3}$ and $-\tfrac{3}{5}$ is

W is directly proportional to U. If W =5 when U = 3. Find U when W =$\tfrac{2}{7}$

Find the range of value for which $3x-7\le 0$ and $x+5>0$

Find to infinity, the sum of the sequence $1,\tfrac{9}{10},{{(\tfrac{9}{10})}^{2}},{{(\tfrac{9}{10})}^{3}}\cdot \cdot \cdot $

A binary operation $\otimes $defined on the set of integers is such that m$\otimes $n = m + n + mn for all integers m and n. Find the inverse of  –5 under this operation, if the identity element is 0

If $\left( \begin{matrix}   x+3 & x+2  \\   x+1 & x-1  \\\end{matrix} \right)$, evaluate x if $\left| P \right|=-10$

A regular polygon has 150^o as the size of each interior angle. How many sides does it have?

If the hypotenuse of a right – angle isosceles triangle is 2cm. What is the area of the triangle?

Find the radius of a sphere whose surface area is 154 cm²

What is the locus of the mid-point of all chords of length 6cm with a circle of radius 5cm and with centre O                       

What is the value of r, if the distance between the point(4, 2) and (1,r) is 3 units

A cliff on the bank of a river is 300 metres high. If the angles of depression of a point on the opposite side of the river is 60^o. Find  the width of the river.

If $s=(2+3t)(5t-4),\text{ find }\frac{ds}{dt}$ when t = $\tfrac{4}{5}$secs.

The distance travelled by a particle from a fixed point is given as $s={{t}^{3}}-{{t}^{2}}-t+5$find the minimum distance that the particle can cover from the fixed point.