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Gnesinka [82]
3 years ago
13

The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax

is added.​
Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0

Answer:

$ 6096

Step-by-step explanation:

Let the cost of truck = x

x+19% of x = 9068

x + 0.19x = 9068

1.19 x = 9068

      x = \frac{9068}{1.19}

    x = 7620.17

Reduction = 20% of 7620.17

                 = 0.20 * 7620.17

                 = $ 1524.03

New price = 7620.17 -  1524.03

                  = $ 6096.14

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What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
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ANSWER


The value of the expression is
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EXPLANATION

Method 1: Rewrite as product of
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The expression given to us is,

{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}


We use the fact that
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{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  {i}^{0}  \times {i}^{1}  \times {i}^{3}   \times {i}^{2}   \times {i}^{4}


This implies,


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  {i}^{0}  \times {i}^{2}  \times {i}^{2}   \times {i}^{2}   \times {i}^{2} \times {i}^{2}


We substitute to obtain,

{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  1\times  - 1 \times  - 1  \times  - 1\times  - 1 \times  - 1


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  1\times  1 \times   1  \times  - 1 =  - 1


Method 2: Use indices to solve.



{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  = {i}^{0 + 1 + 2 + 3 + 4}



This implies that,


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  = {i}^{10}




{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  (  {{i}^{2}} )^{5}


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  (   - 1 )^{5}   =  - 1


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