Consider the following Harrod-Domar growth equation: \[ \frac{s}{\theta} = g + \delta \] where \( s \) is the saving rate, \( \theta \) is the capital-output ratio, \( g \) is the overall growth rate, and \( \delta \) is the capital depreciation rate. If \( \delta = 0 \) and \( s = 20% \), then to achieve \( g = 10% \), the capital-output ratio will be ________ (in integer).
Let \( Y \) be income, \( r \) be the interest rate, \( G \) be government expenditure, and \( M_s \) be money supply. Consider the following closed economy IS-LM equations with a fixed general price level (\( \bar{P} \)):
IS equation: \[ Y = 490 + 0.6Y - 4r + G \] LM equation: \[ \frac{M_s}{\bar{P}} = 20 + 0.25Y - 10r \] If \( G = 330 \) and \( \frac{M_s}{\bar{P}} = 500 \), then the equilibrium \( Y \) is ________ (round off to one decimal place).
Simplify the following expression: $ \frac{2^{n+5} - 4 \cdot 2^{n}}{2 \cdot (2^{n+4})} $.