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Mabel borrowed an amount of money from her father.The loan will be paid back by means of R25000 each every second month for six years,an interest of 7,5% per year,compounded every two months,will be applicable,The amount of loan is


Assume the random variable X can take values of -1, 0, 1, 2. The probabilities are 1/2c 3/4c 5/8c 2/16c. As a result, the constant c =

In a large region, there are 450 farmers. 250 pounds of farm beetroot, 110 pounds of farm yams, 75 pounds of farm radish, 45 pounds of farm beetroot and radish, 40 pounds of farm yams and radish, and 30 pounds of farm beetroot and yams Let B, Y, and R represent the farms that grow beets, yams, and radish, respectively.





Determine the number of farmers that farm beetroot, yams, and radish.





X is a normally distributed random variable with a mean of 60 and standard 

deviation of 8. Find the probabilities indicated by using the table.

(a) P(X < 52)

(b) P(48 < X < 64)

(c) P(X > 57)


X is a normally distributed random variable with a mean of 60 and standard






deviation of 8. Find the probabilities indicated by using the table.






(a) P(X < 52)






(b) P(48 < X < 64)






(c) P(X > 57)

In a large region, there are 450 farmers. 250 pounds of farm beetroot, 110 pounds of farm yams, 75 pounds of farm radish, 45 pounds of farm beetroot and radish, 40 pounds of farm yams and radish, and 30 pounds of farm beetroot and yams Let B, Y, and R represent the farms that grow beets, yams, and radish, respectively.


Determine the number of farmers that farm beetroot, yams, and radish.


if A=2i+j+k, B=i-2j+2k and C=3i-4j+2k , find the projection A+C in the direction of B.



Select one:



A 173




B 203




C 143




D 193


A particle moves along the space curve r=e-t(cos⁡t i+sin⁡t j+k). Find the magnitude of the veloctiy at any time t.



Select one:



A 5e-1




B 5e-t




C 3e-1




D 3e-t


If w=3iz-z2 given that z=x+iy, find w2 in terms of xand y.



Select one:



A x4+y4+2x2y2-6x2y-6y3-9x2-9y2




B x4+y4+2x2y2-6x2y-6y3+9x2+9y2




C x4+y4+2x2y2-6x2y-6y3+9x2-9y2




D x4-y4+2x2y2-6x2y-6y3+9x2+9y2


Given that A = 2i + 3j - k, B = i - j +2k and C = 3i + 4j + k find:



a) A+2B



b) |A- B+2C|



c) D such that A - B + C 3D = 0





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