8. Martina makes decals and sends them to her customers through the mail. Martina charges her customer a shipping charge with each order. The ordered amount paid in total, including the shipping charge. Which equation also represents the relationship between the cost of the decals and the total cost with shipping?
\(F y = x + 5 \)
\( G y = 5 x \)
\( H x = 4 + y \)
\( Jy = x + 4\)
y = x + 4
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.
