If money is invested at the constant rate r, the time to increase the investment by a

Question:

If money is invested at the constant rate r, the time to increase the investment by a factor x is
t = ln x / r
(a) At what rate dt / dx is the time changing at x = 2?
(b) What happens to dt / dx as x gets very large? Interpret this result.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Mathematical Applications for the Management Life and Social Sciences

ISBN: 978-1305108042

11th edition

Authors: Ronald J. Harshbarger, James J. Reynolds

See More Books

Question Posted: Feb 09, 2018 07:00 AM

See More Questions

1. Suppose that a $100,000 investment grows 3% during the first year and 4% during the second year. By what percent will it have grown after the 2-year period? (The answer is not 7%) 2. Rework...
If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is
If an initial amount A0 of money is invested at an interest rate r compounded times a year, the value of the investment after t years is If we let n , we refer to the continuous compounding of...
Examine the major components of a marketing plan.
Write out the following numbers in full with the correct number of zeros: (a) 8.69 x 104 (b) 9.1 x 103 (c) 8.8 x 101 (d) 4.76 x 102, and (e) 3.62 x 105
Knowing that at the instant shown the velocity of collar D is 1.6 m/s upward, determine (a) The angular velocity of rod AD, (b) The velocity of point B, (c) The velocity of point A. 240 me mm E 192...
A brand of bearings has a mean life span of 15,000 cycles, with a standard deviation of 1,250 cycles. Assume the life spans of the bearings have a bell-shaped distribution. (a) The life spans of...
While Clara Novak was sick, her daughter Janie helped her in many ways. Clara died, and Janie then claimed that she was entitled to be paid for the services she had rendered her mother. This claim...
Laker Company reported the following January purchases and sales data for its only product. The Company uses a perpetual inventory system. 4. Determine the cost assigned to ending inventory and to...
Peanut Company acquired 90 percent of Snoopy Companys outstanding common stock for $270,000 on January 1, 20X8, when the book value of Snoopys net assets was equal to $300,000. Peanut uses the equity...
Suppose that the total cost (in dollars) for a product is given by C(x) = 1500 + 200 ln (2x + 1) where x is the number of units produced. (a) Find the marginal cost function. (b) Find the marginal...
The total revenue, in dollars, from the sale of x units of a product is given by R(x) = 2500x / ln (10x + 10) (a) Find the marginal revenue function. (b) Find the marginal revenue when 100 units are...
Where does the line through (-3, 1, 0) and (-1, 5, 6) intersect the plane 2x + y - z = -2?
How does persuasion help team decision making?
When you identify potential audience objections to your ideasas part of planning a persuasive conversation or written messageshould you address those objections directly as part of your persuasive...
To be persuasive, business websites must present a company as credible. Assume you are starting a new business and you do not have any customer testimonials or past projects to present on your...
What is the main difference between a visual aid presentation and a stand-alone presentation?
Name one technique an organization might use if it routinely communicates similar bad-news messages.
Why do companies benchmark their operations with other organizations in their industry?
Name some of the various types of financial intermediaries described in the chapter and indicate the primary reason(s) each was created.
(a) The curve y = |x|/2 x2 is called a bullet-nose curve. Find an equation of the tangent line to this curve at the point (1, 1). (b) Illustrate part (a) by graphing the curve and the tangent line...
(a) If f(x) = 1 x2/x, find f(x). (b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f.
The function f(x) = sin (x + sin 2x), 0 < x < , arises in applications to frequency modulation (FM) synthesis. (a) Use a graph of f produced by a graphing device to make a rough sketch of the graph...
sked byChina699 BEMIDJI STATE UNIVERSITY Department of Technology, Art & Design TADT 3217 : Materials Science & Metallurgy Hardness Testing [A continued look at the Heat Treatment of Steel] ...
1. Advocate Aurora Sheboygan Memorial Hospital health care product or service to be marketed in your community. 2. Conduct appropriate market research in your community to determine the demographics...
How do ethical leaders integrate ethical considerations into strategic decision-making processes, balancing short-term business objectives with long-term ethical imperatives to ensure sustainable...

If money is invested at the constant rate r, the time to increase the investment by a

Question:

Step by Step Answer:

t ln x r a b As x dt dx 0 As the factor at ...View the full answer

Mathematical Applications for the Management Life and Social Sciences

Students also viewed these Calculus questions