Find the future value at 4.4%, compounded continuously, for 10 years for the continuous income stream with
Question:
Find the future value at 4.4%, compounded continuously, for 10 years for the continuous income stream with rate of flow f(t) = 50t2.
Use Table 1 to evaluate all integrals involved in any solutions of Problem.
Transcribed Image Text:
Ta+ bu Va + bu Table 1 Integration Formulas Integrals Involving ư" 1. " du n + -1 n + 1' 2. fu du: -du = In u Integrals Involving a + bu, a + 0 and b + 0 3. a + bu - du = - In a + bu a 4. a + bu du = b. Inla + bu| (a + bu)? 2a(a + bu) 5. a + bu a? - In a + bu du = 2b a Inla + bul + du = (a + bu)? a + bu, (a + bu) a? 1. Ta+ bu)* 2a Inla + bu -du = 2. - bu)? b b (a + bu) (a + bu)*+2 a(a + bu)+1 (n + 2)b 8. u(a + + bu)" du = n + -1, -2 (n + 1)b 9. (a + bu) 1 du =-n a a + bu 1 1 b. la + bu 10. du3D u(a + bu) + In au at 1 1 1. u(a + bu) du = In a(a + bu) at la + bu a + bu In a 1 a + 2bu 2b 12. du = u(a + bu)? a'u(a + bu) Integrals Involving a - u', a > 0 du = a 1. lu - a In 2a 13. %3D u + a 1 14. a u + a In 2a du = U - a Integrals Involving (a + bu) and (c + du), b + 0, d + 0, and ad - bc + 0 c+ du In 1 15. (a + bu) (c + du) du = ad - bc a + bu + dul) a In a + bul -- In|c 16. (a + bu) (c + du) du = ad bc \b 1 1 Inla + bu| -Inc + du) 17. du |Ta + bu) (c + du) %3D bd ad - bc \b 1 c + du -In a + bu 1 d - du = J (a + bu) (c + du) 18. ad - bc a + bu (ad - bc) |c+ du In a 1 19. -du = J (a + bu) (c + du) b(ad - bc) a + bu (ad - bc)? a + bu a + bu bu du = d ad - bc -Ine + du d 20. %3! c+ du Integrals Involving Va + bu, a + 0 and b + 0 2V(a + bu) 21. Va + bu du = 3b 2(3bu – 2a) Va + bu du = V(a + bu) 22. %3D 156 2(15b’u – 12abu + 8a) 23. 2Va + bu du = (a + bu) 1056 2Va + bu 24. du = Va + bu 2(bu - 2a) 25. - np- 3b Va + bu Va + bu 2(3bu - 4abu + 8a?) 26. Va + bu du = Va + bu 15b Va + bu - Va| In 27. - du = a >0 uVa + bu Va"I Va + bu + Val Va + bu Va + bu - Va In 28. du = a >0 12Va + bu 2a Va Va + bu + VaI Integrals Involving Va? - u,a > o 1 a + Va - ? 29. du = -- In %3D uVa? - u a Va - ư 1 30. du = au -du = Va - t - la + Va - v a In 31. Integrals Involving Vu? + a?, a >0 Vưư + a du = (uVư + a + a² lIn|u + Vư + a) 32. du [u(2u + a?) Vư + a² – a* In\u + V? + a|] 33.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
To find the future value of the continuous income stream we can use the formula for continuous compo...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
College Mathematics For Business Economics, Life Sciences, And Social Sciences
ISBN: 978-0134674148
14th Edition
Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker
Question Posted:
Students also viewed these Mathematics questions
-
Find the future value at a rate r, compounded continuously for T years, of a continuous income stream with rate of flow f(t) = kect, where c and k are constants, c r.
-
Use Table 14 - 1 to find the future value and total interest of the annuities. See Examples 3, 4, 6 and 7. Annuity type 1. Ordinary annuity 2. Ordinary annuity 3. Ordinary annuity 4. Annuity due 5....
-
The Medi Spa franchise has a continuous income stream with a monthly rate of flow modeled by f(t)=20,000e0.03t (dollars per month). Find the total income for years 2 through 5.
-
Convex Mechanical Supplies produces a product with the following costs as of July 1, 2012: Material ............................... $ 6 Labor .................................. 4 Overhead...
-
Suppose two countries, Canada and Mexico, produce two goods: timber and televisions. Assume that land is specific to timber, capital is specific to televisions, and labor is free to move between the...
-
Given the following Java program, what will be output to the screen? Be sure to line everything up properly. Use an underscore to represent a blank and the words blank line to represent a blank line:...
-
The composite bar consists of a 20-mm-diameter A-36 steel segment AB and 50-mm-diameter red brass C83400 end segments DA and CB. Determine the displacement of A with respect to B due to the applied...
-
Marys Ice Cream Shoppe sold 9,100 servings of ice cream during June for $4 per serving. Mary purchases the ice cream in large tubs from the Organic Ice Cream Company. Each tub costs Mary $14 and has...
-
For DFAs, swapping the accept states produces a machine which recognizes the complement language. But this is not always true for NFAs. a) Find an NFA M for which swapping accept states produces an...
-
It is January 1, 2005. Director of Special Projects Rakesh Parameshwar has a planned $20.5 million project, which will require the following expected cash flows between 2005 and 2009: Date Cash...
-
At what altitude above Earth's surface would your weight be half of what it is at Earth's surface?
-
In Problem find the constant c (to two decimal places) such that the Lorenz curve f (x) = x c has the given Gini index of income concentration. 0.27
-
Repeat Problem 31 for the system of Figure P6.7. Data From Problem 13: Use the Routh-Hurwitz criterion to find the range of K for which the system of Figure P6.6 is stable. R(s) + E(s) K(s + 1) C(s)...
-
An increasingly popular device for improving air flow through nasal passages is the nasal strip, which consists of two flat, polyester springs enclosed by an adhesive tape covering. Measurements show...
-
How do theories of globalization, including world-systems theory, hyperglobalism, and transformationalism, provide insights into the dynamics and consequences of global interconnectedness ?
-
A 129 kg fridge rests on a floor with s = 0.261. How much force does it take to set the fridge in motion? (Unit = N)
-
Healthwise Hospital has a hybrid EHR system where paper records are scanned into the system upon patient discharge. What should the HIM department do with the paper records after the scanning process...
-
Find the the current instantaneous speed of the spacecraft with = -18.5 km2/s2 G = gravitational constant (6.67430 x 10^-20 km kg s) M = mass of the Earth (5.972 x 10^24 kg)
-
Suppose Cisco is considering a new investment in the common stock of a chocolate company. What is the required rate of return for this venture? Explain why the expected return on Cisco stock is not...
-
Explain how two samples can have the same mean but different standard deviations. Draw a bar graph that shows the two samples, their means an standard deviations as error bars. T S
-
If 10 cases are observed over 1 year among 500 boys 04 years of age with smoking mothers, then test whether there is a significant difference in asthma incidence between this group and the general...
-
Report a p-value corresponding to your answer to Problem 7.17? Pulmonary Disease Suppose the annual incidence of asthma in the general population among children 04 years of age is 1.4% for boys and...
-
Suppose that four cases are observed over 1 year among 300 girls 04 years of age with smoking mothers. Answer Problem 7.17 based on these data? Pulmonary Disease Suppose the annual incidence of...
-
PLEASE REFER TO THE SCREENSHOT OF THE OUTPUT BELOW EACH QUESTION AND THE CODE TO ENSURE THAT THE GIVEN ANSWER MATCHES THE OUTPUT AND USES THE CORRECT TABLES SQL CODE(to long to post in text):...
-
Use Adventure Works Database Question 1 will be Sales.SalesOrderDetail table Questtion 2-3requires joining two tables: Sales.SalesOrderDetail and Production.Product 1. Using table...
-
The Driver Relationship team requested to ensure that there will be no duplicates in the active drivers tables in terms of first name, last name and driving license ID. You need to provide constraint...
Study smarter with the SolutionInn App