Friday, 26 May 2017

ACCOUNTS-2


From the following information you are required to prepare a balance sheet of BIBANJA & Co. LTD as at 06.09.2013
Creditors----------------------------120,000/=
Debtors ------------------------------250,000/=
Bank Overdraft---------------------80,000/=
Cash in Hand----------------------130,000/=
Stock------------------------------------57,000/=
Bank loan----------------------------200,000/=
Furniture------------------------------93,000/=
Premises-----------------------------260,000/=
Capital-------------------------------390,000/=

Solution

Balance sheet of BIBANJA & Co. LTD as at 06.09.2013

LIABILITIES
Amount
Amount
ASSETS
Amount
Amount

Capital

CURRENT LIABILITIES
Creditors
Bank Overdraft

LONG TERM LIABILITIES

Bank loan



 120,000
   80,000
390,000



200,000



200,000
FIXED  ASSETS
Premises
Furniture

CURRENT  ASSETS

Stock
Debtors
Cash in hand






  57,000
250,000
 130,000

260,000
  93,000





437,000


790,000


790,000




TRY THIS..................

From the following information you are required to prepare a balance sheet of MARUKU & Co. LTD as at 06.04.2015
Creditors----------------------------127,000/=
Debtors ------------------------------260,000/=
Bank Overdraft---------------------85,000/=
Cash in Hand----------------------140,000/=
Stock------------------------------------57,000/=
Bank loan----------------------------200,000/=
Furniture------------------------------93,000/=
Premises-----------------------------262,000/=

Capital-------------------------------400,000/=


LOGARITHMS 6



MIDPOINT-1

Find the midpoint of a line from (1, 14) to (17, 10)

Solution

x1=1, x2=17, y1=14, y2=10.

Mid point = (x1 + x2, y1 + y2)
                        2             2

Mid point = (1 + 17, 14 + 10)
                       2              2

Mid point = (18, 24)
                     2    2

Hence midpoint = (9, 12)

TRY THIS……………………..

  

Find the midpoint of a line from (6, 2) to (14, 6)

RADICALS 5



ALGEBRA 2


If │2x – 19 │= 21; Find  x

Solution

±(2x – 19 )= 21

2x -19= 21    OR   –(2x-19) = 21

2x – 19 = 21    OR   -2x+19= 21

2x = 21 + 19    OR   -2x= 21-19

2x = 40     OR   -2x  =  2
2      2                2        2

x = 20  OR  x = 1


Hence x = 20 OR x = 1     


TRY THIS...............................



If │4x – 12 │= 48; Find  x

LOGARITHMS 6



ANGLES 1


If x-70 and 4x + 220 are complementary angles, find the value of x.

Solution

Complementary angles add up to 900.

so,  x-70 + 4x + 220 = 900.
so,  x + 4x + 220 - 70 = 900.
so,  5x + 150 = 900.
so,  5x = 900 -  150
so,  5x = 750

so,  5x = 7515
      5      5

Hence x = 150

TRY THIS...............


If 3x - 40 and 7x + 540 are complementary angles, find the value of x.

NUMBER LINE 2



SETS 2


In Kasanga village the number of people who speak English or French is 300. 150 of them speak English and 170 of them speak French. How many speak both languages?

solution

In most cases, OR stands for union whereas AND/BOTH, stands for intersection.
Let French=n(F), English= n(E).

n(E)= 180,
n(F)= 170,
n(EuF) = 300,
n(EnF)=?


n(EuF) = n(E) + n(F) - n(EnF)

300  =  150 + 170 – n(EnF)

300  =  320 – n(EnF)

n(EnF) =  320 – 300

n(EnF) =  20

Hence n(EnF)=20 answer

  20 speak both languages   .


TRY THIS……..


In Malenda village the number of people who speak English or French is 280. 185 of them speak English and 175 of them speak French. How many speak both languages? 

RADICALS 4



EXPONENTIALS 4


Find x if 64x = 0.125; find x.

Solution

64x = 0.125
(26)x = 0.125          [since 64=26 ]
26x = 0.125          
26x = 125/1000     [converting 0.125 into fraction]       
26x = 1/8    [after simplifying]       
26x = 8-1           [since 1/a=a-1]
26x = (23)-1
26x = 23 x-1           
26x = 2-3           [since (ac)d =acd]
26x = 2-3           [same bases cancel out]
6x = -3         
6x = -3 -1        
6      6 2
x= -1/2
Hence x= -1/2  .

TRY THIS…………………….



Find x if 162m = 0. 5; find m.

LOGARITHMS 5



FUNCTIONS 1


If f(x) = |x - 24| evaluate f(-50)

solution

f(x) = |x - 24|

f(-50) = |-50- 24|

f(-50) = |-74| = 74 since any number out of absolute signs is +ve.

Hence f(-50) = 74


TRY THIS..................



If f(x) = |x - 30| evaluate f(-15)

Tuesday, 23 May 2017

RADICALS 3



ALGEBRA 1


If  x+4y = 1            find  x/y             
    x-3y     4

solution

x+4y = 1           
x-3y     4

1(x-3y) = 4(x+4y)           [after cross multiplying]

x-3y = 4x+16y

x - 4x = 16y + 3y

-3x = 19y

1-3x =   19y         [dividing by -3 both sides]
1-3        -3

x =   19y         
        -3
      
x =     19y 1   [dividing by y both sides]    
y       -3y 1

x = -19/3
y    

Hence x/y = -19/3answer.          

TRY THIS......................

If  x+2y = 1            find  x/y             

    x- 2y     6

NUMBER LINE 1



AXIS OF SYMMETRY 1


Find the axis of symmetry for F(x) = 6x2 + 48x + 8

Solution

a=6, b=48

Axis of symmetry = -b/2a

                                  =  -(48)
                                       2 x 6

                                 =    -48
                                         12

                                 =   -4
                                       


Hence the axis of symmetry is -10/3

TRY THIS...............


Find the axis of symmetry for F(x) = 5x2 + 40x - 2

MATRIX 3



LOGARITHMS 4


Evaluate Log2(256 x 64 x 32).

Solution

= Log2(256 x 64 x 32)

= Log2256 +  Log264 +  Log232                   (applying the product rule)

= Log228 +  Log226    +  Log225                      ( 256= 28 and 64=26 ,32=25)

= 8Log22 +  6Log22    +  5Log22         ( remember  Logaac = cLogaa )

= (8 x 1) +  (6 x 1) +  (5 x 1)                  ( remember  Logaa = 1 )

= 8 + 6 + 5

= 19


hence Log2(256 x 64 x 32) = 19

TRY THIS...............


Evaluate Log2(512 x 128 x 32).