Solving applied problems using exponential and logarithmic equations. Now we can solve applications that model real world situations whether the unknown is an exponent or in the argument of a logarithm. Science application: Calculating the half-life of a sample of radioactive substance as it decays. Substance Gallium-67 Cobalt -60 Titanium - 44 Americium - 241 Carbon-14 Uranium-235 Use Nuclear medicine Manufacturing Body joint replacements Construction Archeological dating Atomic power Half-life 80 hours 5.3 years 60 years 432 years 5,715 years 703,800,000 years In (0.5)t Use the formula A(t) = Age T • A is the amount initially present T is the half-life of the substance t is the time period over which the substance is studied y is the amount of the substance present after time t 13. How long will it take for ten percent of a 1000-gram sample of uranium-235 to decay? Given half-life is 703,800,000 years. What is the amount of uranium-235 remaining?

Solving applied problems using exponential and logarithmic equations. Now we can solve applications that model real world situations whether the unknown is an exponent or in the argument of a logarithm. Science application: Calculating the half-life of a sample of radioactive substance as it decays. Substance Gallium-67 Cobalt -60 Titanium - 44 Americium - 241 Carbon-14 Uranium-235 Use Nuclear medicine Manufacturing Body joint replacements Construction Archeological dating Atomic power Half-life 80 hours 5.3 years 60 years 432 years 5,715 years 703,800,000 years In (0.5)t Use the formula A(t) = Age T • A is the amount initially present T is the half-life of the substance t is the time period over which the substance is studied y is the amount of the substance present after time t 13. How long will it take for ten percent of a 1000-gram sample of uranium-235 to decay? Given half-life is 703,800,000 years. What is the amount of uranium-235 remaining?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: 1. The value of a watch is decreasing exponentially. The table shows some data points for the…

A: According to question, Given data, year passed (y) value of the watch (V) 0 $20 4 $10

Q: (d) Write a logistic differential equation that models the growth rate of the panther population.…

A: dPdt=0.5227P1-P420 P0=35

Q: Y 243 81 y = _____(_____)X

A: Answer given below.

Q: Question A population of fish grows exponentially. If the population is initially 383 fish, and…

A: Given query is to find the value of k.

Q: Problem Solving Question 1 Linguistic change can be modeled by a special kind of exponential…

A: For a function, y=f(t), the independent variable is t and the dependent variable is y. The value of…

Q: MATH 0121-LAB 8 1. The time it takes for an exponentially growing quantity to double is given by…

A: We have to find the time of doubling.

Q: have submitted this question twice, and am still not getting the correct answer, please help. t…

A: Given data : t (hours) = x Q (mg) = y 0 650 1 520 2 416 3 332.8 The curve to be…

Q: Topic III-15 Exponential Equations 5. Binary fission is a process in which one bacterial cell…

Q: riana Grande's concert has been sold out for weeks nd the cost of a ticket increases as the date of…

A: The exponential growth or decay is modelled using the equation, P(t)=P0(1±r)t , where r is the rate…

Q: A population numbers 11,000 organisms initially and grows by 19.8% each year. (A) Suppose P…

A: (a) Given that, A population numbers is 11,000. The rate of increasing population is 19.8% per year…

Q: The count in a bacteria culture was 300 after 20 minutes and 1200 after 40 minutes. Assuming the…

Q: Which situations are best modeled by exponential growth or decay? Select all that apply. the…

A: Which situations are best modeled by exponential growth or decay?Select all that applythe population…

Q: Express the solution to each equation as a logarithm. Then, find the approximate value of the…

Q: 6.1 Exponential Fühctions OPEN ITEMS INFO DESMOS CALCULATOR Practice similar Find the formula for an…

Q: The mass of a radioactive substance follows a continuous exponential decay model. A sample of this…

A: Exponential decay model:

Q: Question 2 of 10 View Policies Show Attempt ory Current Attempt in Progress Your answer is…

A: 500. 5t/9 = 30125

Q: Statistics indicate that the world population since world war II has been growing exponentially. If…

Q: Population growth is represented by the given logistic equation (see image), where t is measured in…

A: According to the given information, Consider the given differential equation:

Q: a) Suppose $270,000 is invested in an account for 13 years. Find the balance in the account if…

A: topic - exponential function

Q: PRINTER VERSION Chapter 4, Section 4.2, Question 036 A 1987 treaty to protect the ozone layer…

Q: 2. Equations a. How do you solve logarithmic equations? Questions to think about when answering…

A: The problems about the logarithmic and the exponential equations.A logarithmic equation is an…

Q: The table contains some points on the graph of an exponential function. X f(x) 0 6 1 9 2 13.5 3…

A: Ans (1) We have given data in tablex f(x)0 61 92 13.53 20.254…

Question

Solving applied problems using exponential and logarithmic equations. Now we can
solve applications that model real world situations whether the unknown is an exponent
or in the argument of a logarithm.
Science application: Calculating the half-life of a sample of radioactive substance as it
decays.
Substance
Gallium-67
Cobalt -60
Titanium - 44
Americium - 241
Carbon-14
Uranium-235
Use
Nuclear medicine
Manufacturing
Body joint replacements
Construction
Archeological dating
Atomic power
Half-life
80 hours
5.3 years
60 years
432 years
5,715 years
703,800,000 years
In (0.5)t
Use the formula A(t) = Age T
• A is the amount initially present
T is the half-life of the substance
t is the time period over which the substance is studied
y is the amount of the substance present after time t
13. How long will it take for ten percent of a 1000-gram sample of uranium-235 to
decay? Given half-life is 703,800,000 years. What is the amount of uranium-235
remaining?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Step by step detailes solution

VIEW

Step 3: Final calculation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

ka x E Important Message Rapidkdentity EOC Hornework #4- Exponential x cture.com/courses/380778/quizzes/3184993?module_item_id%3D29395812 chool/Canv.. 5. The population of Barnardsville in 2014 was estimated to be 24,000 people with an annual rate of increase (growth) of about 2.4%. Which function would give you the estimated total population, y, of Bamardsville in 2021? [A] y = 24000 (1 + 2.4)7 IC] y = 24000 (1 +.024)7 [B] y = 24000 (1+ 2.4)21 [D] y = 24000 (1 + .24)21 7. Matt bought a new car at a cost of $28,000. The car depreciates approximately 15% of its value each year. Which function would give you the estimated value of the car, y, after t years? [A] y = 28000 (.15)' [B] y = 28000 (1.15)' {C] y = 28000 (.85) [D] y = 28000 (1.015)' Name: 8. Kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to college. She receives $900 in graduation money that she puts into an account earning 4.25% interest annually. How much will be in…
C Ciever Log in Delta Math Sy Exponential Equation Calculato x G exponential function-Googie S x + + C O b deltamath.com/app/student/solve/14221862/exponentialFunctions O Student Bookmarks Sierrha (owen) Rose Exponential Functions - Basic Oct 05, 2:28:06 PM Watch help video An element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining after 19 minutes, to the nearest 1oth of a gram? Answer: Submit Answer -> Ce @ #3 24 & * 2 3 4. 7 8 9. e r EGO a S d f h k
GENERAL MATHEMATICS solve the following problems involving logarithmic functions. 3.When a living organism dies,its carbon 14 decays.The half life of carbon -14 is 5,730 years.If a skeleton of a human os discovered and has 20% of its original carbon -14 remaining,how long ago did the human die?
Situation 1: The population of XYZ city has been declining over the years due to multiple socioeconomic factors. Based on data collected by the townspeople between 2001 to 2015, they concluded that the population could be modeled using the function P(t) = 15200 (0.951), where t is the number of years since 2004. a) What does the value 15,200 represent in this problem? O Search b) Determine the rate of decay/rate of growth of XYZ city population. (Answer as a percentage) c) Using this model/function, predict the XYZ city population in 2021 a ENG US 7:56 pm 219 10/11/2022
NIX 118 NURSING O VA North Texas Health Care Syste x TcC Home Page - Tarrant County Coll x E Unit 4 - Exponential and Logarith x E Take Test: HW - T3L4 - 2021SU-X A my.tccd.edu/webapps/assessment/take/launch.jsp?course_assessment_id= 828331 1&course id= 231421 18new attempt=1&content id= 1209812 G Solve the expone A VA Bookmarks Instructions Multiple Attempts This test allows multiple attempts. Force Completion This test can be saved and resumed later. * Question Completion Status: QUESTION 1 Solve the exponential equation. If necessary, round the answer to 4 decimal places. 5**3 -525 QUESTION 2 Solve the exponential equation. If necessary, round the answer to 4 decimal places. 3*+7 = 9x QUESTION 3 Solve the exponential equation. If necessary, round the answer to 4 decimal places. 20 =56 QUESTION 4 Solve the exponential equation. If necessary, round the answer to 4 decimal places e-1-5=5 QUESTION 5 Click Save and Submit to save and submit. Click Save All Answers to save all answers. O…
19 Exam: 05.08 Exponential and Log x b My Questions | bartleby + A learn.flvs.net/educator/student/examform.cgi?kcondor1*serged*slt=gbxxU.GTTCDYg*5413*0046**passedonce** 合FLVS E Lessons A Assessments Gradebook Email 4 * Tools - My Courses Serge (05.02 MC) Mike is working on solving the exponential equation 37% = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation. log y Hint: Use the change of base formula: log, y = log b O Source BI US X x² Ix 前9 Styles Format Font Size A - A- Previous Question Question 1 (Not Answered) Next Question
A ALEKS-Harley Biltoc - Learn O Exponential and Logarithmic Functions Finding the final amount in a word problem on continuous exponential... grams Explanation www-awu.aleks.com Check myPascoConnect 0/5 A biologist has a 568-gram sample of a radioactive substance. Find the mass of the sample after four hours if it decreases according to a continuous exponential decay model, at a relative rate of 18% per hour. Do not round any intermediate computations, and round your answer to the nearest tenth. Portal Harley V Espai F 6 E
EXAMPLE 3 Magnitude of Earthquakes There are several other logarithmic scales used to calculate the magnitude of earthquakes. For instance, the U.S. Geological Survey uses the momert magnitude scale. The 1906 earthquake in San Francisco had an estimated magnitude of 8.3 on the Richter scale. In the same year a powerful earthquake occurred on the Colombia- Ecuador border that was four times as intense. What was the magnitude of the Colombia-Ecuador earthquake on the Richter scale?