Mathematics can solve some of your problems

Agricultural Calculations I – AGA111T MAY - JUNE 2018 Examination Page 1 of 8


NOTE: ALL solutions correct to three decimal places unless otherwise stated.

QUESTION 1 [11]

Simplify:

 log 2 2   log 2 23
3
1.1 (2)

A: -2 B: 0 C: log2 8 D: -3


A 


1.2 ln log32 (2)

A: -1.4800 B: 0.3307 C: -0.0468 D: 0.0468


C 


1.3 Write the equivalent of the following:

1.3.1 log8 x  3 (2)

A: x  512 B: ln8x  3 C: x  83 D: log3 x  8


C 
1.3.2 5x  2 (2)

A: 2x  5 B: x  log5 2 C: x  5ln 2 D: log5  2


B 


1.4 Evaluate the following expression:

 1 
1.4.1 log 2   (3)
 32 

 1
log 2  5   log 2 25  5log 2 2  5 
2 
QUESTION 2 [6]




___________________________________________________________________
Paper C MeMo [Total: 100]

, Agricultural Calculations I – AGA111T MAY - JUNE 2018 Examination Page 2 of 8


A contribution towards buying a milk cow worth R30 500 is divided between three
farmers, Machaba, Steve and Mike. The contributions are done in the following
ratios: 6 :8:16 respectively.

Determine the contributions of the following:

2.1 Machaba (2)

6  8  16  30
6
 30500   R6100 
30


2.2 Steve. (2)

8
 30500   R8133.33 
30


2.3 Mike. (2)

16
 30500   R16266.67 
30


QUESTION 3 [6]

Determine the factors of the following expressions:

3.1 2 y 2  y 15 (2)

 2 y  5 y  3 


3.2 3z 2  17 z  10 (2)

 3z  2  z  5  

3.4 x2  13x  42 (2)

 x  7  x  6  




___________________________________________________________________
Paper C MeMo [Total: 100]