MONEY RATES 1

Given that 1 Swedish Kronor is equal to Tsh. 214.07/=, How much Swedish Kronor will be equivalent to 200,000/=

solution

1 swed. Kronor = 214.07 Tsh.

                     ?     = 400,000/=

After cross multiply we have:

= 400,000 x 1

        214.07

= 400,000

    214.07

= 1868.54767

= 1868.55 to 2 d.p.

Hence 400,000Tshs equals 1868.55 swedesh Kronors

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Given that 1 Swedesh Kronor is equal to Tsh. 214.07/=, How much Swedish Kronor will be equivalent to 360,000/=

AXIS OF SYMMETRY 1

Find the axis of symmetry for F(x) = 60x² + 8x + 8

Solution

a=60, b=4

Axis of symmetry = -b/2a

                                   =  -(8)

                                       2 x 60

                                   =    -8

                                        120

                                    =   -1

                                          15

Hence the axis of symmetry is ^-1/15

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Find the axis of symmetry for F(x) = 60x² + 300x + 8

RATIOS 1

Given the ratios U:V = 9: 2 and V:W = 20:7 Find the ratio U:W.

solution

U = U x V

W   V   W

U =   9 x 20⁵

W   ₁ 2    7

U =   9 x 5

W     1 x 7

U =   45

W     7

Hence U:W = 45:7

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Given the ratios X:Y = 5:7 and Y:Z = 3:25;  Find the ratio X:Z.

LOGARITHMS 3

Evaluate Log100000 +  log 0.00001 + log₃243

Solution

= Log100000 +  log 0.00001 + log₃243

= Log10⁵ +  log 10^-5 + log₃3^-5

= 5Log10 +  (-5log 10) + (-5log₃3)    [since log_aaⁿ  = nlog_aa]

= (5x1) + (-5x1) + (-5x1)             [since log_aa = 1]

= 5 + (-5) + (-5)

= 5 - 10

= -5

Hence Log100000 +  log 0.00001 + log₃243 = -5

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Evaluate Log10,000 +  log 0.01 + log₃729

INEQUALITIES 1

Find x in the following inequality 2x+50 ≤ 82

Solution

2x+50 ≤ 82

2x ≤ 82 – 50

2x≤ 32

2x  ≤  32         [ dividing by 2 on both sides]

2        2

x ≤ 16

Hence x ≤ 16

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Find x in the following inequality 2x + 38 ≤ 92