Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

A painting attributed to Vermeer $(1632-1675)$ which should contain no more than $96.2 \%$ of its original carbon-14, contains $99.5 \%$ instead. About how old is the forgery?

About 41.4 years.

Calculus 1 / AB

Calculus 2 / BC

Chapter 7

Integrals and Transcendental Functions

Section 2

Exponential Change and Separable Differential Equations

Functions

Trig Integrals

Missouri State University

Campbell University

Oregon State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:31

The answers to most of the…

03:23

03:12

07:25

02:11

03:50

01:45

Art forgery A painting att…

04:53

02:40

Use the exponential decay …

03:25

So we're told some forgery has about 99.5% of its carbon 14 left. And what we want to do is determined. How old is thief Forgery. So they tell us. 99.5% left. Now, in example five. They tell us for C 14 dating that are constant, K, or our exponential decay equation should be the natural log to over 5730 reciprocal years. And at this point, we would just need to solve for tea. Once we plug, everything is so on the left side. We should have 0.995 Why not? Is equal to why not times e to the negative. And I'm going to just leave it as K for right now just so we don't have to keep running that fraction out. So first thing we're gonna do divide each side by. Why not for those canceled, Then take the natural log. So we're going to get natural log of 0.995 and this is gonna be equal to negative K t Now we would divide by negative case to get T is equal to the natural log of zero point 995 over negative K, now plugging in K. That should give us 5000 or negative 5730 natural log of 0.995 all over natural log of two. And this would be in years. Now let's actually approximate what This is so negative. 5000 730 times the natural look. 7300.995 is about 28.7. Divide that by natural log of two, and that gives about 41 point or years. So that is about how old are forged. Painting is.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

The answers to most of the following exercises are in terms of logarithms an…

Art forgery A painting attributed to Vermeer $(1632-1675)$ . which should co…

Use the exponential decay model for carbon-14, $A=A_{0} e^{-0.000121 t},$ to…

07:09

Use reduction formulas to evaluate the integrals.$$\int 4 \tan ^{3} 2 x …

07:04

Find the area of the region between the curve $y=3-x^{2}$ and the line $y=-1…

Evaluate the integrals.$$\int_{0}^{\pi / 2} 2 \sinh (\sin \theta) \cos \…

Use integration, the Direct Comparison Test, or the Limit Comparison Test to…

Find the limits. Are the functions continuous at the point being approached?…

04:25

Finding volume Find the volume of the solid generated by revolving the regio…

01:46

Solve the initial value problems.$$\frac{d y}{d x}=10-x, \quad y(0)=-1$$…

04:24

Solve the initial value problems.$$\frac{d^{3} y}{d x^{3}}=6 ; \quad y^{…

11:16

02:38

Find the areas of the regions enclosed by the lines and curves.$$x=\tan …

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.