Water whose temperature is at 100° C is left to cool in a room where the temperature is 60° C. After 3 minutes,the water temperature is 90°. If the water temperature T is a function of time t given by T = 60 + 40e, findthe time for the water temperature to reach 70° C. Round to the nearest hundredth of a minute.minutes

Follow the procedure given below.

Answered: the time for the water temperature to…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.1: Functions And Function Notation

Problem 9SC

See similar textbooks

Similar questions

The height h of a projectile is a function of the time t it is in die air. The height in feet for t seconds is given by the function h(t)=-16t2+96t . What is the domain of die function? What does the domain mean in the context of die problem?
The height of a projectile fired vertically into the air neglecting air resistance at an initial velocity of 64 feet per second is a function of the time (t) and is given by the equation h(t)=64t16t2 Compute h(1), h(2), h(3) and h(4).
The graph of f(x)=(12)x is reflected about they-axis and compressed vertically by a factor of 15. What is the equation of the new function, g(x) ? Stateits y-intercept, domain, and range.
The population of a pad of bottlenose dolphins ismodeled by the function A(t)=8(1.17)t, where tisgiven in years. To the nearest whole number, whatwill the pod population be after 3 years?
The graph of f(x)=3x is reflected about the y-axisand stretched verticallyby a factor of 4. What isthe equation of the new function, g(x) ? State itsy-intercept, domain, and range.
Retirement Savings Ella is saving for her retirement by making regular deposits into a 401(k) plan. As her salary rises, she finds that she can deposit increasing amounts each year. Between 1995 and 2008 the annual amount (in dollars) that she deposited was given by the function. D(t)=3500+15t2 , where t represents the year of the deposit measured from the start of the plan (so 1995 corresponds to t=0 , 1996 corresponds to t=1 , and so on). (a) Find D(0) and D(15) . What do these values represent? (b) Assuming that her deposits continue to be modeled by the function D, in what year will she deposit $17,000? (c) Find the average rate of change of D between t=0 and t=15 . What does this number represent?

Recommended textbooks for you

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Intermediate Algebra

Algebra

ISBN:

9781285195728

Author:

Jerome E. Kaufmann, Karen L. Schwitters

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

the time for the water temperature to reach 70° C E