You want to be able to withdraw \( \$ 45,000 \) from your account each year for 30 years after you retire. You expect to retire in 20 years. If your account earns \( 10 \% \) interest, how much will you need to deposit each year until retirement to achieve your retirement goals? \( \$ \)

The function \( f(x)=3^{x} \) is reflected across the \( x \)-axis. What happens to the point \( (3,27) \) that lies on the parent fuction after the transformation?

Determine what happens to the point \( (1,3) \) when the function \( f(x)=3^{x} \) is compressed to \( \frac{1}{4} \) of its height. Express your answer as an ordered pair with coordinates that are either integers or fractions in lowest terms.

\( \frac { 1 } { 2 } in . = \square cm \)

2.- Encuentra los números que faltan en los siguientes cuadrados mágicos. En la primera figura deben ubicarse los números naturales del 1 al 16, de tal manera que, si se suman los cuatro números de las hileras y los de las columnas, siempre debe dar 34 como resultado.

Simplify the expression using the products-to-powers rule. \( \left(-2 y^{8}\right)^{4} \) \( \left(-2 y^{8}\right)^{4}=\square \) (Simplify your answer. Use integers or decimals for any numbers in the expression.)