Respuesta :
Cassie's total spent is equal to money spent on shares bought and commission charges of broker.
Money spent on shares bought:
- 92 shares of Hyren Airlines at $13.70 per share = [tex]92*13.7=1260.4[/tex]
- 130 shares of Giaco Household Goods at $3.28 per share = [tex]130*3.28=426.4[/tex]
- 126 shares of Iwad Records at $8.06 per share = [tex]126*8.06=1015.56[/tex]
The sum total is [tex]1260.4+426.4+1015.56=2702.36[/tex]dollars
Commission charges of broker:
If broker charges $4.25 every 10 shares, he charges [tex]\frac{4.25}{10}=0.425[/tex] dollars per share.
Total number of shares bought by Cassie is [tex]92+130+126=348[/tex] shares.
Total spent on commissions, thus, is [tex]348*0.425=147.9[/tex] dollars.
Cassie's total money spent is [tex]2702.36+147.9=2850.26[/tex] dollars.
Rounded to nearest dollar, it is $2850.
ANSWER: $2850
The total money spend by Cassie is [tex]\boxed{\$ 2850}[/tex].
Further explanation:
Given:
Commission charge is [tex]\$ 4.25[/tex] for every ten shares of the stock bought or sold.
Cassie buys 92 shares of Hyren Airlines, 130 shares of Giaco households Goods and 126 shares of Iwad Records.
Hyren Airlines share costs $13.70.
Giaco house hold goods costs $3.28 per share.
Iwad Records cost $8.06 per share.
Explanation:
The charge per share can be calculated as follows,
[tex]\begin{aligned}{\text{Charge per share}}&=\frac{{4.25}}{{10}}\\&=0.425\\\end{aligned}[/tex]
The cost on the 92 share of Hyren Airlines can be calculated as follows,
[tex]\begin{aligned}{\text{cost}}&=92\times13.7\\&=1260.4\\\end{aligned}[/tex]
The cost on the 130 shares of Giaco Household Good can be calculated as follows,
[tex]\begin{aligned}{\text{cost}}&=130\times3.28\\&=426.4\\\end{aligned}[/tex]
The cost on the 126 shares of Iwad Records can be calculated as follows,
[tex]\begin{aligned}{\text{cost}}&=126\times8.06\\&=1015.56\\\end{aligned}[/tex]
The total cost can be obtained as the sum of all the cost of shares.
[tex]\begin{aligned}{\text{Total cost}}&=1260.4+426.4+1015.56\\&=\$2702.36\\\end{aligned}[/tex]
The total number of share are [tex]92 + 130 + 126 = 348{\text{ shares}}[/tex].
The commission on the total share can be calculated as,
[tex]\begin{aligned}{\text{commission}}&=0.425\times348\\&=\$147.9\\\end{aligned}[/tex]
The total amount is the sum of cost of all shares and the commission.
[tex]\begin{aligned}{\text{Total amount}}&=2702.36+147.9\\&=\$2850\\\end{aligned}[/tex]
The total money spend by Cassie is [tex]\boxed{\$ 2850}[/tex].
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Comparing quantities
Keywords: property, zero, eight, sum, addition, identity, shows, subtraction, number sentence.
