Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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50. BANKING The numbers of three types of bank accounts on
January 1 at the Central Bank and its branches are repre-
sented by matrix A:
Fixed-
Checking
Savings
deposit
accounts
accounts
accounts
Main office
2820
1470
1120
A = Westside branch
1030
520
480
Eastside branch
_1170
540
460
The number and types of accounts opened during the first
quarter are represented by matrix B, and the number and
types of accounts closed during the same period are rep-
resented by matrix C. Thus,
260
120
110
120
80
80
B =
140
60
50
and C =
70
30
40
120
70
50
60
20
40
a. Find matrix D, which represents the number of each
type of account at the end of the first quarter at each
location.
b. Because a new manufacturing plant is opening in the
immediate area, it is anticipated that there will be a
10% increase in the number of accounts at each loca-
tion during the second quarter. Write a matrix
= 1.1D to reflect this anticipated increase.
E =
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Transcribed Image Text:50. BANKING The numbers of three types of bank accounts on January 1 at the Central Bank and its branches are repre- sented by matrix A: Fixed- Checking Savings deposit accounts accounts accounts Main office 2820 1470 1120 A = Westside branch 1030 520 480 Eastside branch _1170 540 460 The number and types of accounts opened during the first quarter are represented by matrix B, and the number and types of accounts closed during the same period are rep- resented by matrix C. Thus, 260 120 110 120 80 80 B = 140 60 50 and C = 70 30 40 120 70 50 60 20 40 a. Find matrix D, which represents the number of each type of account at the end of the first quarter at each location. b. Because a new manufacturing plant is opening in the immediate area, it is anticipated that there will be a 10% increase in the number of accounts at each loca- tion during the second quarter. Write a matrix = 1.1D to reflect this anticipated increase. E =
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