91Ó°ÊÓ

The balance in a bank account earning interest at \(r \%\) per year doubles every 10 years. What is \(r ?\)

In Problems \(57-59,\) demonstrate a sequence of operations that could be used to solve \(4 x^{2}=16 .\) Begin with the step given. Take the square root of both sides.

In Problems \(57-59,\) demonstrate a sequence of operations that could be used to solve \(4 x^{2}=16 .\) Begin with the step given. Divide both sides of the equation by \(4 .\)

How can you tell immediately that the equation \(x+\) \(5 \sqrt{x}=-4\) has no solutions?

In Problems \(59-70,\) decide for what values of the constant \(A\) the equation has (a) The solution \(t=0\) (b) A positive solution (c) A negative solution $$ t^{3}=A $$

In Problems \(59-70,\) decide for what values of the constant \(A\) the equation has (a) The solution \(t=0\) (b) A positive solution (c) A negative solution $$ t^{4}=A $$

Which of the following steps is the appropriate next step to solve the equation \(x^{3}+8=64\) ? (a) Take the cube root of both sides of the equation (b) Subtract 8 from both sides of the equation.

Which of the following equations have the same solutions as the equation \(9 x^{2}=81 ?\) (a) \(3 x=9\) (b) \(9 x=\pm 9\) (c) \(3 x=\pm 9\) (d) \(x^{2}=9\)

In Problems \(59-70,\) decide for what values of the constant \(A\) the equation has (a) The solution \(t=0\) (b) A positive solution (c) A negative solution $$ (-t)^{3}=A $$

In Problems \(59-70,\) decide for what values of the constant \(A\) the equation has (a) The solution \(t=0\) (b) A positive solution (c) A negative solution $$ (-t)^{4}=A $$