A meteorologist reports that the temperature today will be colder than \( - 1 ^ { \circ } \) Fahrenheit. The inequality is \( t < - 1 \) . The variable \( t \) represents the temperature. Which numbers are solutions of the inequality? Choose all That apply. \(- 2 \)
\( 0 \)
\( 1 \)
\( - 10 \)
\( - 3 \)
\( - 1\)
\(- 2,- 10,- 3\)
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.
