41. Shelly buys some pies that cost \( \$ 5.35 \) each and a cake that costs \( \$ 17.50 \) . Which expression can be used to find the total cost of \( x \) pies and the cake?
(A) \( 5.35 x \)
(B) \( 17.50 x \)
(C) \( 5.35 x + 17.50 \)
(D) \( 17.50 x + 5.35\)
C. \(5.35x+ 17.50\)
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.
