14. The sum of two angles measures \( 90 \) . If the measure of one angle \( ( x ) \) is \( 10 \) degrees more than \( 2 \) times the other \( ( y ) \) . What mathematical representation describe the sentence? *
A. \( \{ x + y = 90 ; y = 2 x - 10 \)
B. \( \{ x + y = 90 ; y = 2 x + 10 \)
C. \( \{ x + y = 90 ; x = 2 y - 10 \)
D. \( \{ x + y = 90 ; x = 2 y + 10\)
D.
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.
