Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The quantity $Q$ of radioactive radon remaining in a 500 gram sample at time $t$ is given by the equation $Q(t)=500 e^{-0.000428 t} .$ How much radioactive radon remains in the sample after (a) 100 years, (b) 1,000 years, (c) 10,000 years?

(a) $479 \mathrm{gm}$(b) $326 \mathrm{gm}$(c) $6.9 \mathrm{gm}$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

The Number $e$

Campbell University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

02:19

The quantity $Q$ of radioa…

0:00

The amount of a sample of …

02:32

The amount of sample of ra…

01:23

When a certain radioactive…

08:15

A sample of radioactive ma…

01:30

Let $Q$ represent a mass, …

01:44

(a) The half-life of radiu…

02:35

A sample of $500 \mathrm{~…

03:12

Radioactive Decay Let $Q$ …

05:15

Radioactive Decay Let $Q$…

03:39

Decay of Lead A sample of …

01:54

Let $Q$ represent a mass (…

03:59

05:48

Here's another problem. That's pretty straightforward. Uh, they give you the formula where t represents the years that have passed the 500 is a starting amount. Um and all you really have to do is plug in the numbers that they give you in for tea 4 to 18, and I'll spit out your calculator at least will spit out when you ask for Q of 100 years. They're just saying, Hey, plugging 100 for tea 500 times e to the NATO. Oops. Forgot to put to you right there. 0.4 to 8 times 100. Put some parentheses there and some calculators you need to multiply first. Otherwise, you have to do the order of operations. My calculator. I could just type it in just the way it looks. I get the correct answer of roughly 479 g. Okay. And so part be really nothing is different there, except the number that you're plugging in your plugging in 1000 years now. So where you have 100 replace that with 1000. If you have a calculator that lets you just take, you know, the previous thing. And, uh, add one digit right here. That'll be really fast to get the correct answer of 326 g and then part C. You guess that same thing replaced this 1000 with 10,000. So if you have a calculator that takes this and you can add a digit in there, you know, just change that digit to 10,000. Um, And so what you get is an answer of about 6.9 g and those of you three answers for a be and see.

View More Answers From This Book

Find Another Textbook

01:33

Sketch the graph of the function defined by the given equation.$$y=f(x)=…

(a) Find $d$ fif $f(x)=\frac{2 x+3}{x^{2}-2}$,(b) Find $d y$ if $y=\frac…

05:53

In Exercises $29-38,$ for the function determined by the given equation (a) …

04:36

$$5 s^{2}\left(v^{3}-1\right)=7 . \text { Find }(a) d s / d v;(b) d v / d s$…

02:31

Sketch the graph of the function defined by the given equation.$$f(x)=2.…

02:22

The population $P$ at time $t$ of a city is estimated by the equation $P(t)=…

01:24

Use $\log 2=0.3010$ and $\log 5=0.6990$ and the properties of logarithms to …

Thorium 234 decays by about $3 \%$ every day. How much of a 10 lb sample rem…

02:09

Using the derivative, verify that the function in the indicated exercise is …

01:10

Determine the value of the logarithm without the use of a calculator.$$\…