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A trader gave a change of # 540.00 instead of # 570.00 to a customer. Caculate the percentage error.
The population of a town increases by 3% every year. In the year 2000, the population was 3000. Find the population in the year 2003.
If log\(_3^{2x - 1}\) = 5, find the value of x
Find the sum for which $ 1,250.00 will amount to $ 2,031.25 at 12.5% per annum simple interest.
If (3 - 4\(\sqrt{2}\))(1 + 3\(\sqrt{2}\)) = a + b\(\sqrt{2}\), find the value of b
Simplify: (2p - q)\(^2\) - (p + q)\(^2\)
Express in index form: log\(_a^x\) + log\(_a^y\) = 3
The first term of an Arithmetic Progression (A.P) is 2 and the last term is 29. If the common difference is 3, how many terms are in the A.P.?
Given that P = {p: 1< p < 20}, where p is an integer and R = {r : 0 \(\leq\) r \(\leq\) 25, where r is a multiple of 4}. Find P ∩ R
Multiply 3.4 x 10\(^{-5}\) by 7.1 x 10\(^8\) and leave the answer in standard form.
(\(\sqrt{a} +\sqrt{8a})^2\) = 54 + b\(\sqrt{2}\), a and b are positive integers. Find the value of a and the value of b.
Make q the subject of the relation t = \(\sqrt{(\frac{pq}{r} - r^2q)}\)
The number of 144 students who registered for mathematics, physics, and chemistry in an examination are shown in the Venn diagram. How many registered for physics and mathematics?
The weights of 15 students in a class are given as 25, 30, 32, 30, 42, 45, 48, 50, 52, 51, 42, 38, 40, and 42. What is the mode of the given data?
A binary operation * is defined on a set of real numbers by x*y = x\(^y\) for all values of x and y, if x * 2 = x, find the possible values of x.
If tan\(\theta\) = \(\frac{8}{15}\), simplify \(\frac{ Sin\theta - Cos\theta}{Sin^2\theta - Sin\theta}\)
If A = \(\begin{pmatrix}3 & 2 & 1\\4 & 2 & -1\end{pmatrix}\) and B = \(\begin{pmatrix}1 & 4\\0 & 1\\3 & 2\end{pmatrix}\). Find A\(^T\) + B, ( where T means transpose)
Given P = \(\begin{bmatrix}1 & 2\\2 & 3\end{bmatrix}\), find P\(^2\) - 4P - I where I is the identity matrix
If x is inversely proportional to y and x = 9 when y = 4, find the law containing x and y
Find the roots of x\(^3\) - 19x - 30=0