Adebiyi opens a savings account with \( \$ 150 \) and deposits 10 percent of his weekly salary, \( x \), into the account each week, never making a withdrawal. At the same time, his friend Chiagozie opens a savings account with \( \$ 50 \) and deposits \( 0.05 x^{2} \) into the account, where \( x \) represents her weekly salary. At a certain point, Adebiyi and Chiagozie each have the same amount of money in their savings accounts. Create a system of equations to model this situation, using \( T \) as the total amount of money in the savings account and \( x \) as weekly salary. Which of the following equations belongs to the system? Equation \#1: \( T-0.05 x^{2}=50 \) Equation \#2: \( T+0.1 x^{2}=50 \) Equation \#3: \( T+0.1 x=150 \)

29. \( \left\{\begin{array}{r}x+y=5 \\ -2 x+4 y=8\end{array}\right. \)

2.1 Solve for \( x \) in the following: 2.1.1 \( x^{2}=16 \) \( 2.1 .2 \quad 4 x^{2}=x+1 \) \( 2.1 .3 \quad \frac{-3}{(x-2)(x+4)} \leq 0 \) 2.2 Solve for \( x \) and \( y \) simultaneously: \( x y={ }^{\circ} x-y \) and \( y=x+4 \) 2.3 . If \( x=\frac{2 \pm \sqrt{5-3 p}}{4} \), for which values of \( p \) will \( x \) be imaginary (non-real)?

a polygon of \( n \) sides, three of the interos angles are equal to \( 100^{\circ} \), and the remaing 3 (lenior angle) are cach equal to \( 30^{\circ} \). tind the value of \( n \).

List the critical values of the related function. Then solve the inequality. \( \frac{2}{x^{2}-4 x+3} \leq \frac{4}{x^{2}-9} \) The critical value(s) is/are (Simplify your answer. Type an integer or a simplified fraction. Type an exact answer, using radicals as needed. Use a

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