Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Chapter 17, Problem 5PT
To determine
To calculate: The value of denominator of the depreciation rates for an asset with an expected life of 24 years using the sum of the year digits method.
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At the beginning of year 1, you have $10,000. Investments A and B are available; their cash flows per dollars invested are shown in the table below. Assume that any money not invested in A or B earns interest at an annual rate of 2%.
a. What is the maximized amount of cash on hand at the beginning of year 4.$ ___________
A
B
Time 0
-$1.00
$0.00
Time 1
$0.20
-$1.00
Time 2
$1.50
$0.00
Time 3
$0.00
$1.90
7. The demand for a product, in dollars, is
p = D(x) = 1000 -0.5 -0.0002x²
1
Find the consumer surplus when the sales level is 200.
[Hints: Let pm be the market price when xm units of product are sold. Then the consumer
surplus can be calculated by foam (D(x) — pm) dx]
2. Claim events on a portfolio of insurance policies follow a Poisson process with parameter
A. Individual claim amounts follow a distribution X with density:
f(x)=0.0122re001, g>0.
The insurance company calculates premiums using a premium loading of 45%.
(a) Derive the moment generating function Mx(t).
Chapter 17 Solutions
Business Math (11th Edition)
Ch. 17.1 - Prob. 1-1SCCh. 17.1 - Prob. 1-2SCCh. 17.1 - Prob. 1-3SCCh. 17.1 - Prob. 1-4SCCh. 17.1 - Prob. 1-5SCCh. 17.1 - Prob. 2-1SCCh. 17.1 - Prob. 2-2SCCh. 17.1 - Prob. 2-3SCCh. 17.1 - Prob. 2-4SCCh. 17.1 - Prob. 3-1SC
Ch. 17.1 - Prob. 3-2SCCh. 17.1 - Prob. 3-3SCCh. 17.1 - Prob. 3-4SCCh. 17.1 - Prob. 4-1SCCh. 17.1 - Prob. 4-2SCCh. 17.1 - Prob. 4-3SCCh. 17.1 - Prob. 4-4SCCh. 17.1 - Prob. 1SECh. 17.1 - Prob. 2SECh. 17.1 - Prob. 3SECh. 17.1 - Prob. 4SECh. 17.1 - Prob. 5SECh. 17.1 - Prob. 6SECh. 17.1 - Prob. 7SECh. 17.1 - Prob. 8SECh. 17.1 - Prob. 9SECh. 17.1 - Prob. 10SECh. 17.1 - Prob. 11SECh. 17.1 - Prob. 12SECh. 17.1 - Prob. 13SECh. 17.1 - Prob. 14SECh. 17.1 - Prob. 15SECh. 17.1 - Prob. 16SECh. 17.1 - Prob. 17SECh. 17.1 - Prob. 18SECh. 17.1 - Prob. 19SECh. 17.1 - Prob. 20SECh. 17.1 - Prob. 21SECh. 17.1 - Prob. 22SECh. 17.1 - Prob. 23SECh. 17.2 - Prob. 1-1SCCh. 17.2 - Prob. 1-2SCCh. 17.2 - Prob. 1-3SCCh. 17.2 - Prob. 1-4SCCh. 17.2 - Prob. 2-1SCCh. 17.2 - Prob. 2-2SCCh. 17.2 - Prob. 2-3SCCh. 17.2 - Prob. 2-4SCCh. 17.2 - Prob. 1SECh. 17.2 - Prob. 2SECh. 17.2 - Prob. 3SECh. 17.2 - Prob. 4SECh. 17.2 - Prob. 5SECh. 17.2 - Prob. 6SECh. 17.2 - Prob. 7SECh. 17.2 - Prob. 8SECh. 17.2 - Prob. 9SECh. 17.2 - Prob. 10SECh. 17.2 - Prob. 11SECh. 17.2 - Prob. 12SECh. 17.2 - Prob. 13SECh. 17.2 - Prob. 14SECh. 17.2 - Prob. 15SECh. 17 - Prob. 1ESCh. 17 - Prob. 2ESCh. 17 - Prob. 3ESCh. 17 - Prob. 4ESCh. 17 - Prob. 5ESCh. 17 - Prob. 6ESCh. 17 - Prob. 7ESCh. 17 - Prob. 8ESCh. 17 - Prob. 9ESCh. 17 - Prob. 10ESCh. 17 - Prob. 11ESCh. 17 - Prob. 12ESCh. 17 - Prob. 13ESCh. 17 - Prob. 14ESCh. 17 - Prob. 15ESCh. 17 - Prob. 16ESCh. 17 - Prob. 17ESCh. 17 - Prob. 18ESCh. 17 - Prob. 19ESCh. 17 - Prob. 20ESCh. 17 - Prob. 21ESCh. 17 - Prob. 22ESCh. 17 - Prob. 23ESCh. 17 - Prob. 24ESCh. 17 - Prob. 25ESCh. 17 - Prob. 26ESCh. 17 - Prob. 27ESCh. 17 - Prob. 28ESCh. 17 - Prob. 29ESCh. 17 - Prob. 30ESCh. 17 - Prob. 31ESCh. 17 - Prob. 32ESCh. 17 - Prob. 33ESCh. 17 - Prob. 34ESCh. 17 - Prob. 35ESCh. 17 - Prob. 36ESCh. 17 - Prob. 37ESCh. 17 - Prob. 38ESCh. 17 - Prob. 39ESCh. 17 - Prob. 40ESCh. 17 - Prob. 1PTCh. 17 - Prob. 2PTCh. 17 - Prob. 3PTCh. 17 - Prob. 4PTCh. 17 - Prob. 5PTCh. 17 - Prob. 6PTCh. 17 - Prob. 7PTCh. 17 - Prob. 8PTCh. 17 - Prob. 9PTCh. 17 - Prob. 10PTCh. 17 - Prob. 11PTCh. 17 - Prob. 12PTCh. 17 - Prob. 1CTCh. 17 - Prob. 2CTCh. 17 - Prob. 3CTCh. 17 - Prob. 4CTCh. 17 - Prob. 5CTCh. 17 - Prob. 6CTCh. 17 - Prob. 7CTCh. 17 - Prob. 8CTCh. 17 - Prob. 1CPCh. 17 - Prob. 2CPCh. 17 - Prob. 1CS1Ch. 17 - Prob. 2CS1Ch. 17 - Prob. 3CS1Ch. 17 - Prob. 4CS1Ch. 17 - Prob. 1CS2Ch. 17 - Prob. 2CS2Ch. 17 - Prob. 3CS2
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- 4. Find the general solution and the definite solution for the following differential equations: (a) +10y=15, y(0) = 0; (b) 2 + 4y = 6, y(0) =arrow_forward5) For each function represented by an equation, make a table and plot the corresponding points to sketch the graph of the function. (a) y = 75 ()* 220 X y 200- -2 180 160 -1 140 0 120 100 1 60 80 2 3 4 x (b) y = 20 ()* 1 60 40 20 20 0 2 3 65- -1 X y 60 -2 55- 50 45 44 40 0 35- 30 1 25 2 20 20 15 3 10 5 LO 4 3-2 T -1 0 5- 4- -3- 2-arrow_forward5. Find the solution to each of the following by using an appropriate formula developed in the lecture slides: (a) + 3y = 2, y(0) = 4; (b) dy - 7y = 7, y(0) = 7; (c) 3d+6y= 5, y(0) = 0arrow_forward
- 1. Evaluate the following improper integrals: (a) fe-rt dt; (b) fert dt; (c) fi da dxarrow_forward8. Given the rate of net investment I(t) = 9t¹/2, find the level of capital formation in (i) 16 years and (ii) between the 4th and the 8th years.arrow_forward9. If the marginal revenue function of a firm in the production of output is MR = 40 - 10q² where q is the level of output, and total revenue is 120 at 3 units of output, find the total revenue function. [Hints: TR = √ MRdq]arrow_forward
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- 3. Answer the following questions: (a) Given the marginal propensity to import M'(Y) = 0.1 and the information that M = 20 when Y = 0, find the import function M(Y). (b) Given a continuous income stream at the constant rate of $1,000 per year, what will be the present value II if the income stream terminates after exactly 3 years and the discount rate is 0.04? (c) What is the present value of a perpetual cash flow of $2,460 per year, discounted at r = 8%?arrow_forward5. Let A and B be arbitrary sets. Prove AnB = AUB.arrow_forward2. Answer the following questions: (a) Given the marginal-revenue function R'(Q) = 28Q - €0.3Q, find the total-revenue function R(Q). What initial condition can you introduce to definitize the constant of integration? = (b) Given the marginal propensity to consume C'(Y) 0.80.1Y-1/2 and the information that C = Y when Y = 100, find the consumption function C(Y).arrow_forward
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