A Ferris Wheel is designed in such a way that the height \( ( h ) \) , in feet, of the seat above the ground at any time \( ( t ) \) is modeled by the function: \( h ( t ) = - 55 \sin ( \frac { \pi } { 10 } t ) + 60 \)
What is the maximum height a seat reaches?
\( 60 \) feet
\( 110 \) feet
\( 115 \) feet
\( 55 \) feet
60 feet
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.
