During the first quarter of 2015, Toronto Dominion Bank (TD) stock cost $45 per share and was expected to yield 4% per year in dividends, while CNA Financial Corp. (CNA) stock cost $40 per share and was expected to yield 2.5% per year in dividends.† If you invested a total of $29,050 in these stocks and expected to earn $922 in dividends in a year, how many shares of each stock did you purchase?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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During the first quarter of 2015, Toronto Dominion Bank (TD) stock cost $45 per share and was expected to yield 4% per year in dividends, while CNA Financial Corp. (CNA) stock cost $40 per share and was expected to yield 2.5% per year in dividends.† If you invested a total of $29,050 in these stocks and expected to earn $922 in dividends in a year, how many shares of each stock did you purchase?

Expert Solution
Step 1

Let x and y be the number of shares of Toronto Domain Bank and CNA Financial Corp inn which a total of $29,050 is invested.

It is given that the cost of TD share is $45 and CNA share is $40.

So, the total amount invested can be written as follows.

45x+40y=29,050                                                    1

The dividend on TD share is 4% and CNA share is 2.5%.

The total dividend obtained is $922.

The total dividend earned can be written in the form of equation as follows.

4%45x+2.5%40y=9221.8x+y=922                                                             2

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