7:46 PM Sat Mar 21 * 98% Find each of the following. a. The marginal cost C (x) b. C (1) c. C (5) (Round to the nearest thousand.) d. Find lim C(x) and lim C (x). х — со 49. Growth of a retirement fund. Maria invests $20,000 in an IRA account whose value after t years is modeled by V(t) = 20,000e0.0545t a. Use the model to estimate the value of Maria's IRA account after 7 yrг. b. What is the rate of change in the value of the IRA account at the end of 7 yr? 50. Depreciation. Pelican Fabrics purchases a new video surveillance system. The value - 0.0834t V(t) = 17,500e where V(t) is the value of the system, in dollars, t years after its purchase. a. Use the model to estimate the value of the system 5 yr after it was purchased. b. What is the rate of change in the value of the system at the end of 5 yr? 51. Depreciation. Perriot's Restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the equipment was $14,450. The value after that date is modeled by - 0.1631 V(t) = 14,450e a. What is the rate of change in the value of the equipment on January 1, 2019? b. What was the original value of the equipment on January 1, 2017?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....
icon
Related questions
Topic Video
Question

#51A and #51B

7:46 PM Sat Mar 21
* 98%
Find each of the following.
a. The marginal cost C (x)
b. C (1)
c. C (5) (Round to the nearest thousand.)
d. Find lim C(x) and lim C (x).
х — со
49. Growth of a retirement fund. Maria invests $20,000 in an IRA account
whose value after t years is modeled by
V(t) = 20,000e0.0545t
a. Use the model to estimate the value of Maria's IRA account after 7
yrг.
b. What is the rate of change in the value of the IRA account at the end
of 7 yr?
50. Depreciation. Pelican Fabrics purchases a new video surveillance system.
The value
- 0.0834t
V(t) = 17,500e
where V(t) is the value of the system, in dollars, t years after its purchase.
a. Use the model to estimate the value of the system 5 yr after it was
purchased.
b. What is the rate of change in the value of the system at the end of 5
yr?
51. Depreciation. Perriot's Restaurant purchased kitchen equipment on January
1, 2017. On January 1, 2019, the value of the equipment was $14,450. The
value after that date is modeled by
- 0.1631
V(t) = 14,450e
a. What is the rate of change in the value of the equipment on January
1, 2019?
b. What was the original value of the equipment on January 1, 2017?
Transcribed Image Text:7:46 PM Sat Mar 21 * 98% Find each of the following. a. The marginal cost C (x) b. C (1) c. C (5) (Round to the nearest thousand.) d. Find lim C(x) and lim C (x). х — со 49. Growth of a retirement fund. Maria invests $20,000 in an IRA account whose value after t years is modeled by V(t) = 20,000e0.0545t a. Use the model to estimate the value of Maria's IRA account after 7 yrг. b. What is the rate of change in the value of the IRA account at the end of 7 yr? 50. Depreciation. Pelican Fabrics purchases a new video surveillance system. The value - 0.0834t V(t) = 17,500e where V(t) is the value of the system, in dollars, t years after its purchase. a. Use the model to estimate the value of the system 5 yr after it was purchased. b. What is the rate of change in the value of the system at the end of 5 yr? 51. Depreciation. Perriot's Restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the equipment was $14,450. The value after that date is modeled by - 0.1631 V(t) = 14,450e a. What is the rate of change in the value of the equipment on January 1, 2019? b. What was the original value of the equipment on January 1, 2017?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax