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2 years ago

Kate paid $118.65 for a jacket. the price includes a 5% sales tax. how much was the jacket before the tax?

Mathematics

1 answer:

Harman [31]2 years ago

8 0

Let, the price of jacket before tax = x

it would be: x*105/100 = 118.65

x = 11865/105

x = $113

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Given z1 = 1+i and z2 = 2+3i.

Margaret [11]

Answer:

(a) $w=2+5i-6=-4+5i$

Multiplicative inverse of w will be $\frac{1}{-4+5i}$

(B) As w is same as the product of $z_1\ and\ z_2$

So there multiplicative inverse will also be same

Step-by-step explanation:

We have given two complex numbers

$z_1=1+i$ and $z_2=3+2i$

(a) First we have to find $w=z_1z_2$

So $w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2$

As we know that $i^2=-1$

So $w=2+5i-6=-4+5i$

Multiplicative inverse :

It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1

So multiplicative inverse of w will be $\frac{1}{-4+5i}$

Because when we multiply $-4+5i$ with $\frac{1}{-4+5i}$ it gives result as 1

(b) As w is same as the product of $z_1\ and\ z_2$

So there multiplicative inverse will also be same

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2 years ago

(5n - 3) - (-2n + 7)

AleksandrR [38]

Answer:

7n-10

Step-by-step explanation:

=(5n-3) - (-2n) -7 [Bracket Opens]

=5n - 3 +2n -7 [- × - = +]

=7n - 10 [ addition]

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notsponge [240]

The answer should be $30 cause it's only 25% off

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Answer:

Step-by-step explanation:

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You can use prime factorization to figure this out.
<span>

4 x 14 = 56
4 + (14) = 18

Final answer: </span>4 and 14

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