A quantity starts at 29,000 and is exponentially decaying at the rate of 9% per month. What is left of that quantity after the 19th month has passed?

Answer 1

To solve this problem, we can use the exponential decay formula:

quantity = initial quantity x (decay rate)^(time)

In this case, the initial quantity is 29,000 and the decay rate is 9%, which we can express as 0.09. We want to find out what quantity is left after 19 months, so we plug in these values:

quantity = 29,000 x (0.91)^19

Using a calculator or computer program, we can evaluate this expression to find that the quantity left after 19 months is approximately 9,104. So only about 31.4% of the initial quantity remains.

Answer 2

Crystal has a headache, and takes 350mgbof Tylenol. The amount, A, of Tylenol remaining in her body after n hours is given by the formula A = 350 [0.71)n. How much if the Tylenol remains in her body after 6 hours? Round your answer to the nearest hundredth.

Answer 3

To find out how much Tylenol remains in Crystal's body after 6 hours, we plug in n=6 into the formula:

A = 350 [0.71)^6
A = 177.05

So approximately 177.05mg of Tylenol remains in her body after 6 hours. We round this to the nearest hundredth to get 177.05mg.