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2 years ago

Please help asap.

Mathematics

1 answer:

djyliett [7]2 years ago

4 0

Maddy monthly pay is $3958 and her bi-weekly salary is $1827

An equation is an expression used to show the relationship between two or more variables and numbers.

Maddy found a job with an annual salary of $47.5K ($47500). There are 12 months in a year. Hence:

Maddy monthly pay = $47500 / 12 = $3958

Maddy found a job with an annual salary of $47.5K ($47500). There are 52 weeks in a year. Hence:

Maddy bi-weekly salary = ($47500 / 52) * 2 = $1827

Maddy monthly pay is $3958 and her bi-weekly salary is $1827.

Find out more on equation at: brainly.com/question/2972832

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2 years ago

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Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe

AlekseyPX

The answer is
$\frac{-6i-3}{5}$ .

Before we rationalize the denominator, we must simplify the numerator and denominator. We evaluate the square root on the top, and combine like terms on the bottom:
$\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}$

To rationalize the denominator, we multiply by the conjugate. The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign. The conjugate of -2-i is -2+i:

$\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
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