kimberlytorres5 kimberlytorres5
  • 03-11-2018
  • Mathematics
contestada

A doctor prescribes 150 milligrams of a therapeutic drug that decays by about 15% each hour. To the nearest hour, what is the half-life of the drug?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 03-11-2018

Answer:

4 hours

Step-by-step explanation:

The amount remaining at the end of each hour is 0.85 of the amount at the start of the hour. You want to find the exponent such that ...

... 0.85^x = 0.5 . . . . . x = the number of hours until half is left

... x·log(0.85) = log(0.5) . . . . . take the log to turn it to a linear equation

... x = log(0.5)/log(0.85) ≈ 4.265024

Rounded to the nearest  hour, x = 4.

Answer Link

Otras preguntas

how is mass transit in cities a possible solution tk urban air pollution?
find an equivalent expression without parentheses -(50x-15y+15)=
Prove that (x^5)-(x^2)+2x +3=0 has at least one real root. Prove that x=cosx has at least one solution.
How is it possible for Mercury to have frozen ice ?
How is it possible for Mercury to have frozen ice ?
Marika and Freddy sold 70 homes for Ron Realty. If Marika sold 2.5 times as many homes as Freddy, how many homes did each sell?
(10y^3+20y^2+55y)/5y
Marika and Freddy sold 70 homes for Ron Realty. If Marika sold 2.5 times as many homes as Freddy, how many homes did each sell?
Can someone use the word delta in a sentence
how is mass transit in cities a possible solution tk urban air pollution?