Type the correct answer in the box. Use numerals instead of words. The initial population of the town was estimated to be \( 12,500 \) in \( 2005 \) . The population has increased by about \( 5.4 \% \) per year since \( 2005 \) . Formulate the equation that gives the population, \( A ( x ) \) , of the town \( x \) years since \( 2005 \) . If necessary, round your answer to the nearest thousandth. \( A ( x ) = \square \) \(( \square ) ^ { x } \)

9) Fred has 147 orange balloons and 44 black balloons. Fred has 21 times more orange balloons than Tom. How many orange balloons does Tom have?

Rationalize the denominator and simplify \( \frac{\sqrt{14}-\sqrt{3}}{2 \sqrt{7}-\sqrt{6}} \)

3 Multiple Choice 10 points Simplify the expression below using rational exponents in simplest form: \( \sqrt[6]{64 x^{4} y^{2}} \) \( 2 x^{2} y^{4} \) \( 2 x^{24} y^{12} \) \( 2 x^{(3 / 2)} y^{3} \) \( 2 x^{(2 / 3)} v^{(1 / 3)} \)

(a) \( 15^{\circ} \) If the straight line \( y=k x+1 \) is parallel to the straight line \( 2 y-x=5 \), then \( k= \) \( \begin{array}{llll}\text { (a) } 1 & \text { (b) } \frac{1}{2} & \text { (c) } 2 & \text { (d) }-2\end{array} \)

Simplify and state the restrictions: \[ \frac{2 x^{2}-5 x+3}{2 x^{2}-13 x+15} \div \frac{-x+x^{3}}{x^{2}-4 x-5} \]