Find the integral values of x and y satisfying the inequality 3y + 5x \(\leq\) 15, given that y > 0, y < 3, and x > 0.

Evaluate \(\begin{vmatrix}-1 & -1 & -1\\3 & 1 & -1\\1 & 2 & 1\end{vmatrix}\)

Given the matrix K = \(\begin{pmatrix}2 & 1\\3 & 4\end{pmatrix}\), the matrix K\(^2\)  + K + I, where I is the 2 x 2 identity matrix, is 

If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\), then -2P is 

A man saves N 100.00 in his first year of work and each year saves N 20.00 more in the preceding year. In how many years will he save N 5800.00?