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Identify the curve from the family defined by $(x^2-y^2)\,dx + 2xy\,dy = 0$ that passes through the point $(1,1)$.
Rewrite: $\frac{dy}{dx} = \frac{y^2-x^2}{2xy}$. This is a homogeneous ODE. Let $y=vx$:
$\frac{1-v^2}{2v}dx + x\,dv/... $
After solving, the general solution is $x^2 + y^2 = Cy$ (circles with centres on the $y$-axis).
Substituting $(1,1)$: $1+1=C\cdot1 \Rightarrow C=2$, giving $x^2+y^2=2y$, i.e. $x^2+(y-1)^2=1$.
This is a circle centred on the $y$-axis at $(0,1)$.
Human Resource Information System (HRIS) is primarily designed to:
HRIS is designed to provide an HR information base and design/implement employee communication systems. It's a tool for better information management and communication, not a replacement for HR professionals.
Nishat Textiles has the following data for the current year:
Current ratio $= 2:1$; Average age of inventory $= 60$ days; Average collection period $= 30$ days; Average payable period $= 40$ days.
Calculate the Cash Conversion Cycle (CCC).
The Cash Conversion Cycle formula is:
$\text{CCC} = \text{Days Inventory Outstanding} + \text{Days Sales Outstanding} - \text{Days Payable Outstanding}$
$= 60 + 30 - 40 = \mathbf{50 \text{ days}}$
The CCC measures how long it takes a firm to convert its investments in inventory and other resources into cash flows from sales. A shorter CCC generally indicates better liquidity management.
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