1. Current Receivables = $8,000. Current Allowance = $8,000 $\times$ 5% = $400.
2. Last Year Receivables = $8,000 / 0.80 = $10,000. Last Year Allowance = $10,000 $\times$ 5% = $500.
3. Change = $500 - $400 = $100 reduction in allowance.
A reduction in allowance is credited to the income statement, thus increasing profit by $100.

The Null Hypothesis (H&sub0;) asserts that there is no significant difference between groups or that any observed difference is due to chance (sampling error). In formal statistical terms, it states that the difference between population means is zero (A), and that any observed difference results from sampling variability (B). Both A and B together define it correctly.

Correct Answer: C — Both A and B.

For complementary angles ($60°$ and $30°$, since $60°+30°=90°$) with the same initial speed:

Range $R = \dfrac{u^2\sin2\theta}{g}$: $\sin(120°) = \sin(60°)$ ✓ — same range.

Time of flight $\propto \sin\theta$ — different. Max height $\propto \sin^2\theta$ — different.

For no solution, the determinant of the coefficient matrix must be zero but the system must be inconsistent.

$\Delta = (k+1)(k+3) - 8k = k^2+4k+3-8k = k^2-4k+3 = (k-1)(k-3) = 0$

So $k=1$ or $k=3$. Check each:

$k=1$: Equations become $2x+8y=4$ and $x+4y=2$ — same line (infinite solutions). Not "no solution".

$k=3$: Equations become $4x+8y=12$ and $3x+6y=8$. Simplify: $x+2y=3$ and $x+2y=8/3$ — contradiction! No solution.

So exactly $\mathbf{1}$ value of $k$ gives no solution.