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Alex787
1 month ago
12

A share of stock in the Lofty Cheese Company is quoted at 25 1/4. Suppose you hold 30 shares of that stock, which you bought at

20 1/4. If you sell your stock at 25 1/4, which one of the following statements would be true?
A: you'll suffer a loss of $15
B: you'll make a profit of $15
C: you'll make a profit of $150
D: you'll suffer a lose if $150
Mathematics
1 answer:
tester [12.3K]1 month ago
8 0
Because each share was originally purchased at 20 1/4, the gain per share when the price rises to 25 1/4 is (25 1/4 - 20 1/4) = $5.00. Selling 30 shares therefore yields a total profit of (30 x 5) = $150.00. Thus, the correct choice is C<span>.</span>
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Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your
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The distance from my home to my friend's residence is 14 miles Step-by-step explanation: Let me clarify the solution process: - When heading to my friend's house, my driving speed is 35 miles per hour. - In returning home, the driving speed increases to 40 miles per hour. - The total duration of the trip was 45 minutes. - Our goal is to determine the distance separating my home from my friend's house. - First, we will convert 45 minutes into hours since the driving speed is expressed in miles per hour. Knowing that 1 hour equals 60 minutes, it follows that 45 minutes equates to hours. - Let’s assume that the distance between my home and my friend's place is d; thus, the time taken to reach my friend's house will be and the time for the ride back will be. Since the distance between the two is d, the corresponding equations will be: d = 35 ×, and d = 40 ×. - Setting both equations equal we derive:. - After dividing both sides by 35, it leads to. - This indicates that the total time of the round trip is hours. - Utilizing this information, we then substitute back into the equations to compute d, leading to the conclusion that the distance from my home to my friend's is indeed 14 miles.
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2 months ago
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Arrange the entries of matrix A in increasing order of their cofactors values
Zina [12379]

To ascertain the cofactor of

A=\left[\begin{array}{ccc}7&5&3\\-7&4&-1\\-8&2&1\end{array}\right]

First, eliminate the relevant row and column linked to the specified entries and calculate the determinant of the leftover 2\times 2 matrix while applying alternating signs.


Ac_{11}=\left|\begin{array}{ccc}4&-1\\2&1\end{array}\right|


Ac_{11}=4\times 1- -1\times 2


Ac_{11}=4+ 2

Ac_{11}=6




Ac_{12}=-\left|\begin{array}{ccc}-7&-1\\-8&1\end{array}\right|


Ac_{12}=-(-7\times 1- -1\times -8)


Ac_{12}=-(-7- 8)

Ac_{12}=15




Ac_{21}=-\left|\begin{array}{ccc}5&3\\2&1\end{array}\right|


Ac_{21}=-(5\times 1- 3\times 2)


Ac_{21}=-(5-6)


Ac_{21}=1







A_c{23}=-\left|\begin{array}{ccc}7&5\\-8&2\end{array}\right|


Ac_{23}=-(7\times 2 -8\times 5)


Ac_{23}=-(14-40)


Ac_{23}=26




A_c{31}=\left|\begin{array}{ccc}5&3\\4&-1\end{array}\right|


Ac_{31}=5\times -1 -4\times 3


Ac_{31}=-5-12


Ac_{31}=-17


A_c{33}=\left|\begin{array}{ccc}7&5\\-7&4\end{array}\right|


Ac_{33}=7\times 4- -7\times 5


Ac_{33}=28+35


Ac_{33}=63


Therefore, the entries arranged in increasing order of their cofactors values are;

Ac_{31}=-17,Ac_{21}=1,Ac_{11}=6,Ac_{23}=26,Ac_{12}=15, Ac_{33}=63



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2 months ago
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