Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
knbarwrgwddsg
Group Title
The halflife of radium is 1600 years. If the initial amount is
q0 milligrams,
then the quantity
q(t)
remaining after t years is given by
q(t) = q02kt.
Find k.
 one year ago
 one year ago
knbarwrgwddsg Group Title
The halflife of radium is 1600 years. If the initial amount is q0 milligrams, then the quantity q(t) remaining after t years is given by q(t) = q02kt. Find k.
 one year ago
 one year ago

This Question is Open

wio Group TitleBest ResponseYou've already chosen the best response.0
So the equation is\[ q(t) = q_02^{kt} \]
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.0
Now, the quantity is going to be halved each time so we know \(k\) is going to be negative. \[ q(t)=q_0\left(\frac{1}{2}\right)^{kt} \]
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.0
We also know: \[ q(1600) = \frac{q_0}{2} = q\left(\frac{1}{2}\right)^{1} \]Since it is the halflife as well as\[ q(1600)=q_0\left(\frac{1}{2}\right)^{k(1600)}\]See the pattern?\[ 1=k(1600) \]
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.0
Solving for \(k\) gives us: \[ k = \frac{1}{1600} \]
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.0
@knbarwrgwddsg get it?
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.