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At 31 December: Balance per bank statement $22,650; Uncleared deposits $3,110; Unpresented cheques $6,290; Bank credit recorded twice by bank in error $650. What is the cash book balance for the statement of financial position?
Option A ($18,820) is correct.
Bank statement balance: $22,650
+ Uncleared deposits: +$3,110
− Unpresented cheques: −$6,290
− Bank error (overstated credit): −$650
Cash book balance = $18,820
A particle has initial velocity $(3\hat{i}+4\hat{j})$ and acceleration $(0.4\hat{i}+0.3\hat{j})$. Its speed after 10 s is:
Velocity at $t = 10\text{ s}$:
$\vec{v} = (3+0.4\times10)\hat{i} + (4+0.3\times10)\hat{j} = 7\hat{i}+7\hat{j}$
Speed $= \sqrt{7^2+7^2} = \sqrt{98} = \mathbf{7\sqrt{2}}$ units
The 1973 Constitution of Pakistan provides for a _________ form of government.
The 1973 Constitution established a federal parliamentary system with the Prime Minister as the head of government.
Let $f:\mathbb{R}\to\mathbb{R}$ be defined as $f(x)=\begin{cases}5,&x\le1\\a+bx,&1
Continuity at $x=1$: $\lim_{x\to1^+}(a+bx)=a+b=5$ ...(i)
Continuity at $x=3$: $a+3b=b+15 \Rightarrow a+2b=15$ ...(ii)
Continuity at $x=5$: $b+25=30\Rightarrow b=5$ ...(iii)
From (iii): $b=5$. From (i): $a=5-5=0$... but check (ii): $0+10=10\neq15$. Contradiction!
Try option B: $a=-5, b=10$. Check (i): $-5+10=5$ β. Check (ii): $-5+20=15$ β. Check (iii): $10+25=35\neq30$ β.
No values make $f$ continuous, so the answer is not continuous for any $a, b$ (option D, index 3).
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