2. The table below shows the relationship between the values in an input-output table.
Which of the following correctly describes the relationship shown in the table?
F. Input \( - 21 = \) Output
G. Input \( - 19 = \) Output
H. Input \( + 21 = \) Output
J. Input \( + 19 = \) Output
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.
