X+y=4000....(1)
10x+6y=340*100⇒5x+3y=17000......(2)
(2)- 3*(1)⇒ 2x=5000⇒x=2500,y=4000-2500=1500
Answer:
(d)
Step-by-step explanation:
Bond's par value = $500
market value of the bond = 88.754% * 500
= 443.77
Commission rate charged by broker A = 3.1%
Commission of broker A = 
*443.77
= $13.75687
Commission of broker B = $24
Difference between the commission of broker A and broker B = 24-13.756
= $10.24
Hence, (d) Broker A's commission will be $10.24 less then Broker B's.
Answer:
slope of M'N' = 1
Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)
For point N':
x coordinate of N' = k * x coordinate of N
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)
Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1
Hope this helps :)
