Solve the problem.
-The amount of a radioactive substance present, in grams, at time t in months is given by the formula $y = 8,000 ( 3 ) ^ { - 0.2 t }$ Find the number of grams present in 2 years. If necessary, round to three decimal places.
A) 4.101
B) 41.012
C) 5,155.152
D) 515.515

Question

Quizplus · Accepted Answer

First, convert 2 years into months, since the formula is in terms of months. 2 years = 24 months. Then, substitute $t = 24$ into the formula: $y = 8,000(3)^{-0.2(24)}$. Calculating this gives approximately 41.012 grams.

Solve the Problem y=8,000(3)−0.2ty = 8,000 ( 3 ) ^ { - 0.2 t }y=8,000(3)−0.2t

Solve the Problem $y = 8,000 ( 3 ) ^ { - 0.2 t }$