A hockey team earns \( 2 \) points for a win and \( 1 \) point for a tie. Let \( w \) represent the number of wins and \( t \) represent the number of ties. Which expression(s) can be used to describe the total points? Select all that apply.
\( \square 2 w + 1 \)
\(\square w + t\)
\( \square 2 w + t \)
\( \square 2 w + 1 t\)
Total points is 2w+t
Find the solution of the exponential equation \( 16 e ^ { x } = 12 \) in terms of logarithms, or correct to four decimal places. \( x = \)
Certain radioactive material decays in such a way that the mass remaining after \( t \) years is given by the function
\( m ( t ) = 100 e ^ { - 0.01 t } \)
where \( m ( t ) \) is measured in grams. (a) Find the mass at time \( t = 0 \) . Your answer is (b) How much of the mass remains after \( 20 \) years? Your answer is Round answers to \( 1 \) decimal place.
