The numbers of three types of bank accounts on January 1 at the Central Bank and its branches are represented by matrix A. Fixed- deposit accounts 1140 480 460 Main office A Westside branch = Checking Savings accounts accounts 1490 2840 1030 Eastside branch 1170 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 represented by matrix C. Thus, B = 120 80 80 70 30 40 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. D= E = 260 120 110. 140 60 50 120 70 50 and C = 000 540 540 ↓ 1 (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 location durin the second quarter. Write a matrix E= 1.1D to reflect this anticipated increase. ↓↑ C → 4
The numbers of three types of bank accounts on January 1 at the Central Bank and its branches are represented by matrix A. Fixed- deposit accounts 1140 480 460 Main office A Westside branch = Checking Savings accounts accounts 1490 2840 1030 Eastside branch 1170 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 represented by matrix C. Thus, B = 120 80 80 70 30 40 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. D= E = 260 120 110. 140 60 50 120 70 50 and C = 000 540 540 ↓ 1 (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 location durin the second quarter. Write a matrix E= 1.1D to reflect this anticipated increase. ↓↑ C → 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The numbers of three types of bank accounts on January 1 at the Central Bank and its branches are represented by matrix A.
Fixed-
deposit
accounts
1140
480
460
Checking Savings
accounts
[2840
accounts
1490
Main office.
A Westside branch 1030
540
Eastside branch 1170
540
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
represented by matrix C. Thus,
120 80 80
70 30 40
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 =
D =
260 120 110
140 60 50
120 70 50
E =
and C =
000
↓ 1
(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 location during
the second quarter. Write a matrix E= 1.1D to reflect this anticipated increase.
→
E
↓ 1
4
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