A construction crew needs to pave a road that is \( 202 \) miles long after \( d \) days is given by the following function.
\( L ( d ) = 202 - 8 d \)
Answer the following questions. (a) How many miles of the road does the crew have left to (b) If \( 138 \) miles of the road is left to be paved, how many d paving the road? Continue
202-8d
98
8
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.
