The dollar value \( v(t) \) of a certain car model that is \( t \) years old is given by the following exponential function. \[ v(t)=32,000(0.78)^{t} \] Find the value of the car after 5 years and after 12 years. Round your answers to the nearest dollar as necessary. value after 5 years: value after 12 years:

Question simplify: \( \sqrt[6]{x^{18}} \)

Question Estimate \( \sqrt{35} \) to two decimal places.

Simplify \( 4+\sqrt{117} \)

For the following function, find the value of \( (a) f(-5) \) and (b) \( f(4) \), if possible. \( y=\left\{\begin{array}{l}x^{2}-4 \text { if } x \leq 0 \\ x^{3}+4 \text { if } x>0\end{array}\right. \) A. \( f(-5)=\square \) (Simplify your a a \( [ \) (aswer.) B. There is no solution.

Question Simplify: \( \sqrt{9+16} \) (Enter \( \varnothing \) if your answer is not a real number.)