Question 14 The current share price of a resources company is $6.85. (a) A shareholder owns 880 shares in the company, and it has announced a dividend per share of 4.5% of the share price. Determine the dividend the investor will receive. (b) Determine the total cost for the shareholder to buy another 250 shares in the company at their current price, given that their broker charges a fee of $40 plus a commission of 1.6% of the value of the shares bought. (c) Over the course of a year, the share price of the company increased from $5.31 to its current price. Determine the percentage increase in the share price.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 14
The current share price of a resources company is $6.85.
(a)
A shareholder owns 880 shares in the company, and it has announced a dividend per
share of 4.5% of the share price. Determine the dividend the investor will receive.
(b)
(c)
(d)
Determine the total cost for the shareholder to buy another 250 shares in the company at
their current price, given that their broker charges a fee of $40 plus a commission of 1.6%
of the value of the shares bought.
Over the course of a year, the share price of the company increased from $5.31 to its
current price. Determine the percentage increase in the share price.
The company reported that its latest earnings per share was 41.5 cents. Determine the
price to earnings ratio for this company.
Transcribed Image Text:Question 14 The current share price of a resources company is $6.85. (a) A shareholder owns 880 shares in the company, and it has announced a dividend per share of 4.5% of the share price. Determine the dividend the investor will receive. (b) (c) (d) Determine the total cost for the shareholder to buy another 250 shares in the company at their current price, given that their broker charges a fee of $40 plus a commission of 1.6% of the value of the shares bought. Over the course of a year, the share price of the company increased from $5.31 to its current price. Determine the percentage increase in the share price. The company reported that its latest earnings per share was 41.5 cents. Determine the price to earnings ratio for this company.
Question 13
The shape of a metal reinforcing plate is a
parallelogram with a sector of a circle removed,
as shown in the diagram (not to scale).
The acute angle between the sides of 62 cm
and 41 cm is 45°, and the radius of the sector
removed is 23 cm.
(a)
(b)
(c)
(d)
Determine the area of the sector removed from the parallelogram.
Note: Opposite angles in a parallelogram are equal.
62
Determine the area of the metal plate.
h
45°
Show that the perpendicular distance between the two long sides is approximately
29 cm.
41
Every edge of the plate is welded to the main structure. Determine the total length of the
five edges of the plate.
Transcribed Image Text:Question 13 The shape of a metal reinforcing plate is a parallelogram with a sector of a circle removed, as shown in the diagram (not to scale). The acute angle between the sides of 62 cm and 41 cm is 45°, and the radius of the sector removed is 23 cm. (a) (b) (c) (d) Determine the area of the sector removed from the parallelogram. Note: Opposite angles in a parallelogram are equal. 62 Determine the area of the metal plate. h 45° Show that the perpendicular distance between the two long sides is approximately 29 cm. 41 Every edge of the plate is welded to the main structure. Determine the total length of the five edges of the plate.
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