Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 13.6, Problem 35E
To determine
To solve: The equation
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Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
Chapter 13 Solutions
Basic Technical Mathematics
Ch. 13.1 - Evaluate for:
1.
Ch. 13.1 - Prob. 2PECh. 13.1 - Prob. 1ECh. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Prob. 4ECh. 13.1 - In Exercises 3–6, use a calculator to evaluate (to...Ch. 13.1 - Prob. 6ECh. 13.1 - Prob. 7ECh. 13.1 - In Exercises 7–10, determine if the given...
Ch. 13.1 - Prob. 9ECh. 13.1 - In Exercises 7–10, determine if the given...Ch. 13.1 - Prob. 11ECh. 13.1 - In Exercises 11–16, evaluate the exponential...Ch. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16ECh. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - Prob. 31ECh. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - In Exercises 3146, solve the given problems.
40. A...Ch. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - In Exercises 3146, solve the given problems.
43....Ch. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.2 - Change 1252/3 = 25 to logarithmic form.
Ch. 13.2 - Prob. 2PECh. 13.2 - Prob. 3PECh. 13.2 - Prob. 4PECh. 13.2 - Prob. 5PECh. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - Prob. 8ECh. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - Prob. 10ECh. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - In Exercises 17–28, express the given equations in...Ch. 13.2 - Prob. 18ECh. 13.2 - In Exercises 17–28, express the given equations in...Ch. 13.2 - In Exercises 17–28, express the given equations in...Ch. 13.2 - In Exercises 17–28, express the given equations in...Ch. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - Prob. 37ECh. 13.2 - Prob. 38ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.2 - Prob. 47ECh. 13.2 - Prob. 48ECh. 13.2 - Prob. 49ECh. 13.2 - Prob. 50ECh. 13.2 - Prob. 51ECh. 13.2 - Prob. 52ECh. 13.2 - Prob. 53ECh. 13.2 - Prob. 54ECh. 13.2 - Prob. 55ECh. 13.2 - Prob. 56ECh. 13.2 - Prob. 57ECh. 13.2 - Prob. 58ECh. 13.2 - Prob. 59ECh. 13.2 - Prob. 60ECh. 13.2 - Prob. 61ECh. 13.2 - Prob. 62ECh. 13.2 - Prob. 63ECh. 13.2 - Prob. 64ECh. 13.2 - Prob. 65ECh. 13.2 - Prob. 66ECh. 13.2 - Prob. 67ECh. 13.2 - Prob. 68ECh. 13.2 - Prob. 69ECh. 13.2 - Prob. 70ECh. 13.2 - Prob. 71ECh. 13.2 - Prob. 72ECh. 13.2 - Prob. 73ECh. 13.2 - Prob. 74ECh. 13.2 - Prob. 75ECh. 13.2 - Prob. 76ECh. 13.2 - Prob. 77ECh. 13.2 - Prob. 78ECh. 13.2 - Prob. 79ECh. 13.2 - Prob. 80ECh. 13.3 - Practice Exercises
Express as a sum or difference...Ch. 13.3 - Prob. 2PECh. 13.3 - Prob. 3PECh. 13.3 - Prob. 4PECh. 13.3 - Prob. 1ECh. 13.3 - Prob. 2ECh. 13.3 - Prob. 3ECh. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Prob. 6ECh. 13.3 - Prob. 7ECh. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - In Exercises 9–20, express each as a sum,...Ch. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - In Exercises 29–36, determine the exact value of...Ch. 13.3 - Prob. 31ECh. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - In Exercises 37–44, express each as a sum,...Ch. 13.3 - Prob. 41ECh. 13.3 - Prob. 42ECh. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - In Exercises 45–56, solve for y in terms of...Ch. 13.3 - In Exercises 45–56, solve for y in terms of...Ch. 13.3 - In Exercises 45–56, solve for y in terms of...Ch. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Prob. 51ECh. 13.3 - Prob. 52ECh. 13.3 - Prob. 53ECh. 13.3 - Prob. 54ECh. 13.3 - In Exercises 45–56, solve for y in terms of...Ch. 13.3 - Prob. 56ECh. 13.3 - Prob. 57ECh. 13.3 - Prob. 58ECh. 13.3 - Prob. 59ECh. 13.3 - Prob. 60ECh. 13.3 - Prob. 61ECh. 13.3 - Prob. 62ECh. 13.3 - Prob. 63ECh. 13.3 - Prob. 64ECh. 13.3 - Prob. 65ECh. 13.3 - Prob. 66ECh. 13.3 - Prob. 67ECh. 13.3 - Prob. 68ECh. 13.3 - Prob. 69ECh. 13.3 - Prob. 70ECh. 13.4 - Prob. 1PECh. 13.4 - Prob. 2PECh. 13.4 - In Exercises 1 and 2, find the indicated values if...Ch. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - In Exercises 3–12, find the common logarithm of...Ch. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - Prob. 11ECh. 13.4 - Prob. 12ECh. 13.4 - In Exercises 13–20, find the antilogarithm of each...Ch. 13.4 - In Exercises 13–20, find the antilogarithm of each...Ch. 13.4 - Prob. 15ECh. 13.4 - In Exercises 13–20, find the antilogarithm of each...Ch. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - In Exercises 21–24, use logarithms to evaluate the...Ch. 13.4 - In Exercises 21–24, use logarithms to evaluate the...Ch. 13.4 - In Exercises 21–24, use logarithms to evaluate the...Ch. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - In Exercises 29–32, find the logarithms of the...Ch. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - Prob. 44ECh. 13.5 - Find log3 23.
Ch. 13.5 - Prob. 2PECh. 13.5 - Prob. 3PECh. 13.5 - In Exercises 1 and 2, find the indicated values if...Ch. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - In Exercises 3–8, use logarithms to the base 10 to...Ch. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - In Exercises 9–14, use logarithms to the base 10...Ch. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - Prob. 13ECh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Prob. 19ECh. 13.5 - In Exercises 15–22, find the natural logarithms of...Ch. 13.5 - In Exercises 15–22, find the natural logarithms of...Ch. 13.5 - Prob. 22ECh. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - Prob. 29ECh. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Prob. 33ECh. 13.5 - Prob. 34ECh. 13.5 - Prob. 35ECh. 13.5 - Prob. 36ECh. 13.5 - Prob. 37ECh. 13.5 - Prob. 38ECh. 13.5 - Prob. 39ECh. 13.5 - Prob. 40ECh. 13.5 - Prob. 41ECh. 13.5 - Prob. 42ECh. 13.5 - Prob. 43ECh. 13.5 - Prob. 44ECh. 13.5 - Prob. 45ECh. 13.5 - Prob. 46ECh. 13.5 - Prob. 47ECh. 13.5 - In Exercises 39–54, solve the given...Ch. 13.5 - Prob. 49ECh. 13.5 - Prob. 50ECh. 13.5 - Prob. 51ECh. 13.5 - Prob. 52ECh. 13.5 - Prob. 53ECh. 13.5 - Prob. 54ECh. 13.6 - Solve for x: 2x+1 = 7
Ch. 13.6 - Prob. 2PECh. 13.6 - Prob. 3PECh. 13.6 - Prob. 1ECh. 13.6 - Prob. 2ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 6ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 9ECh. 13.6 - Prob. 10ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 12ECh. 13.6 - Prob. 13ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 17ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 20ECh. 13.6 - Prob. 21ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 23ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 26ECh. 13.6 - Prob. 27ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 29ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 32ECh. 13.6 - Prob. 33ECh. 13.6 - In Exercises 33–42, use a calculator to solve the...Ch. 13.6 - Prob. 35ECh. 13.6 - Prob. 36ECh. 13.6 - Prob. 37ECh. 13.6 - Prob. 38ECh. 13.6 - Prob. 39ECh. 13.6 - Prob. 40ECh. 13.6 - Prob. 41ECh. 13.6 - Prob. 42ECh. 13.6 - Prob. 43ECh. 13.6 - Prob. 44ECh. 13.6 - Prob. 45ECh. 13.6 - Prob. 46ECh. 13.6 - Prob. 47ECh. 13.6 - Prob. 48ECh. 13.6 - Prob. 49ECh. 13.6 - Prob. 50ECh. 13.6 - Prob. 51ECh. 13.6 - Prob. 52ECh. 13.6 - Prob. 53ECh. 13.6 - Prob. 54ECh. 13.6 - Prob. 55ECh. 13.6 - Prob. 56ECh. 13.6 - Prob. 57ECh. 13.6 - Prob. 58ECh. 13.6 - Prob. 59ECh. 13.6 - Prob. 60ECh. 13.6 - Prob. 61ECh. 13.6 - Prob. 62ECh. 13.6 - Prob. 63ECh. 13.6 - Prob. 64ECh. 13.6 - Many exponential and logarithmic equations cannot...Ch. 13.6 - Prob. 66ECh. 13.7 - Prob. 1ECh. 13.7 - Prob. 2ECh. 13.7 - Prob. 3ECh. 13.7 - Prob. 4ECh. 13.7 - Prob. 5ECh. 13.7 - Prob. 6ECh. 13.7 - Prob. 7ECh. 13.7 - Prob. 8ECh. 13.7 - Prob. 9ECh. 13.7 - Prob. 10ECh. 13.7 - Prob. 11ECh. 13.7 - Prob. 12ECh. 13.7 - Prob. 13ECh. 13.7 - Prob. 14ECh. 13.7 - Prob. 15ECh. 13.7 - Prob. 16ECh. 13.7 - Prob. 17ECh. 13.7 - Prob. 18ECh. 13.7 - Prob. 19ECh. 13.7 - Prob. 20ECh. 13.7 - Prob. 21ECh. 13.7 - Prob. 22ECh. 13.7 - Prob. 23ECh. 13.7 - Prob. 24ECh. 13.7 - Prob. 25ECh. 13.7 - Prob. 26ECh. 13.7 - Prob. 27ECh. 13.7 - Prob. 28ECh. 13.7 - Prob. 29ECh. 13.7 - Prob. 30ECh. 13.7 - Prob. 31ECh. 13.7 - Prob. 32ECh. 13.7 - Prob. 33ECh. 13.7 - Prob. 34ECh. 13.7 - Prob. 35ECh. 13.7 - Prob. 36ECh. 13.7 - Prob. 37ECh. 13.7 - Prob. 38ECh. 13.7 - Prob. 39ECh. 13.7 - Prob. 40ECh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - In Exercises 19–30, express each as a sum,...Ch. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - Prob. 42RECh. 13 - In Exercises 43–50, display the graphs of the...Ch. 13 - Prob. 44RECh. 13 - Prob. 45RECh. 13 - Prob. 46RECh. 13 - Prob. 47RECh. 13 - Prob. 48RECh. 13 - Prob. 49RECh. 13 - Prob. 50RECh. 13 - Prob. 51RECh. 13 - Prob. 52RECh. 13 - Prob. 53RECh. 13 - Prob. 54RECh. 13 - Prob. 55RECh. 13 - Prob. 56RECh. 13 - Prob. 57RECh. 13 - Prob. 58RECh. 13 - Prob. 59RECh. 13 - Prob. 60RECh. 13 - Prob. 61RECh. 13 - Prob. 62RECh. 13 - Prob. 63RECh. 13 - Prob. 64RECh. 13 - Prob. 65RECh. 13 - Prob. 66RECh. 13 - Prob. 67RECh. 13 - Prob. 68RECh. 13 - Prob. 69RECh. 13 - Prob. 70RECh. 13 - Prob. 71RECh. 13 - Prob. 72RECh. 13 - Prob. 73RECh. 13 - Prob. 74RECh. 13 - Prob. 75RECh. 13 - Prob. 76RECh. 13 - Prob. 77RECh. 13 - Prob. 78RECh. 13 - Prob. 79RECh. 13 - Prob. 80RECh. 13 - Prob. 81RECh. 13 - Prob. 82RECh. 13 - Prob. 83RECh. 13 - Prob. 84RECh. 13 - Prob. 85RECh. 13 - Prob. 86RECh. 13 - Prob. 87RECh. 13 - Prob. 88RECh. 13 - Prob. 89RECh. 13 - Prob. 90RECh. 13 - Prob. 91RECh. 13 - In Exercises 76–112, solve the given problems.
92....Ch. 13 - Prob. 93RECh. 13 - Prob. 94RECh. 13 - Prob. 95RECh. 13 - In Exercises 76–112, solve the given problems.
96....Ch. 13 - Prob. 97RECh. 13 - Prob. 98RECh. 13 - Prob. 99RECh. 13 - Prob. 100RECh. 13 - Prob. 101RECh. 13 - Prob. 102RECh. 13 - Prob. 103RECh. 13 - Prob. 104RECh. 13 - Prob. 105RECh. 13 - Prob. 106RECh. 13 - Prob. 107RECh. 13 - Prob. 108RECh. 13 - Prob. 109RECh. 13 - Prob. 110RECh. 13 - Prob. 111RECh. 13 - Prob. 112RECh. 13 - Prob. 113RECh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Prob. 7PTCh. 13 - Prob. 8PTCh. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 11PTCh. 13 - Prob. 12PT
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Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Introduction to Algebra: Using Variables; Author: Professor Dave Explains;https://www.youtube.com/watch?v=WZdZhuUSmpM;License: Standard YouTube License, CC-BY