A company ealle globee. The omount of proili, \( y \) , made by the company, le reloted to the exlling price of each globe, \( x \) , by the glven equation. Using the equotion, find out what price the globes should be eold for to mako the maximum proit.
\( y = - 5 x ^ { 2 } + 222 x - 1510\)
\(\$ 5.20 \)
\( \$ 8.39 \)
\( \$ 36.01 \)
\( \$ 22.20\)
$22.20
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.
