Estimate the instantaneous rate of change using M(4.9) and (5.1)

Equation: M(t)=1000(1.1)^t
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

M(t) = 1000(1.1)^t

M(t) = 1000 * e^((ln1.1)t)

M'(t) = 1000(ln1.1) e^((ln1.1)t)

M'(t) = 1000(ln1.1)(1.1)^t

 

M'(4.9) = 1000(ln1.1)(1.1)^(4.9) = 152.0419553

M'(5.1) = 1000(ln1.1)(1.1)^(5.1) = 154.967984
by

Related questions

0 answers
How do i Find out the rate of change
asked Jan 31, 2012 in Calculus Answers by heeb Level 1 User (120 points) | 653 views
1 answer
500-252= what is the estimate the change?
asked Sep 11, 2012 in Word Problem Answers by anonymous | 693 views
1 answer
-2=-7sinx+3x^(2)
asked Sep 30, 2019 in Calculus Answers by anonymous | 1.6k views
1 answer
Find the derivative of this integral
asked Mar 10, 2019 in Calculus Answers by anonymous | 552 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
731,502 users