When I was considering what to do with my \( \$ 10,000 \) lottery winnings, my broker suggested that I invest half of it in gold, the value of which was growing by \( 10 \% \) per year, and the other half in certificates of deposit (CDs), which were yielding \( 5 \% \) per year, compounded every 6 months. Assuming that these rates are sustained, how much will my investment be worth in 9 years? (Round your answer to the nearest cent.) \( \$ \)

Fill in each blank so that the resulting statement is true. \( 4 x^{3}-36 x^{2}-88 x=\ldots\left(x^{2}-9 x-22\right)=\quad(x+2)(x) \) \( 4 x^{3}-36 x^{2}-88 x=\square\left(x^{2}-9 x-22\right)=\square(x+2)(x \square) \)

Use the discriminant to determine all values of k which would result in the graph of the equation \( y=k x^{2}-18 x+27 \) being tangent to the \( x \)-axis.

Internet use at home initially has a Select Choice \( \checkmark \) number of users than Internet use away from home. Both Internet use at home and Internet use away from home Select Choice \( \checkmark \) after 36 months since March 2004. Select Choice

2. а) Векторы \( \vec{a} \) и \( \vec{b} \) образуют угол \( \varphi=\frac{2 \pi}{3} \). Зная, что \( |\vec{a}|=1,|\vec{b}|=2 \), вычислить \( |[(3 \vec{a}-\vec{b}),(\vec{a}-2 \vec{b})]| \).

What is the slope of \( x=8 \) ? If the slope is undefined, enter \( \varnothing \) as your answer. Provide your answer below: slope \( =\square \)