Perform the indicated operation and write in standard form 5i+(-9-i)

Answers

Answer 1

Answer: Since the sign before the parentheses is a + , we can just remove the parentheses.

5i + (-9 - i) = 5i - 9 - i = -9 + 4i

Answer 2

Answer: $5i+(-9-i)=\n 5i-9-i=\n -9+4i$

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Need help pleeeeeeeeeeeeeeease

In 2013, Mary worked for Company A. Her salary for the year was $18 750.(i) $5625 of her salary was not taxed.

What percentage of her salary was not taxed?

Answer % [2]

(ii) The remaining $13125 of Mary’s salary was taxed. 22% of this amount was deducted for tax.
Mary’s take-home pay was the amount remaining from $18750 after tax had been deducted. She received this in 52 equal amounts as a weekly wage.

Calculate Mary’s weekly wage.

Answer $ [3]

(iii) In 2012 Mary had worked for Company B.
When she moved from Company B to Company A, her salary increased by 25% to $18750. Calculate her salary when she worked for Company B.

Answer $ [2]

Answers

Answer:

the answer is $2

Step-by-step explanation:

What two numbers multiply to 44 and add up to 12?

Answers

This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.    x*y = 44 ..........(a)

Add up to 12. x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0, a = 1, b = -12, c = 44

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a

x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number. Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2 or (12 - √-32 )/ 2

x = (12 + 4i√2 )/ 2 (12 - 4i√2 )/ 2

x = 12/2 + (4i√2)/2 12/2 - (4i√2)/2

x = 6 + 2i√2 or    6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2, y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2, y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2

x = 6 + 2i√2, y = 6 - 2i√2

x = 6 - 2i√2, y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2

$xy=44\n x+y=12\n\n xy=44\n x=12-y\n\n (12-y)y=44\n 12y-y^2=44\n y^2-12y+44=0\n y^2-12y+36+8=0\n (y-6)^2=-8$

No solutions in real numbers.

In complex numbers:
$(y-6)^2=-8\n y-6=-√(-8) \vee y-6=√(-8)\n y=6-2\sqrt2 i \vee y=6+2\sqrt2 i\n\n x=12-(6-2\sqrt2i) \vee x=12-(6+2\sqrt2i)\n x=12-6+2\sqrt2i \vee x=12-6-2\sqrt2i\n x=6+2\sqrt2i \vee x=6-2\sqrt2i$

These numbers are $6-2\sqrt2i$ and $6+2\sqrt2i$ .

Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, as given by the following function.N(P) = 80 - 4p^2 ; 1 <= p <= 4.

Find the average rate of change in the number of boxes of nails that customers are willing to buy (demand) for a change in price from $2 to $3.

The average rate of change of demand for a change in price from $2 to $3 is ___ boxes per dollar.
(Type an integer or a decimal.)

I know the answer (-20) but I am not sure how to get it. Can you help?

Answers

Answer: -20

Step-by-step explanation:

the answer is negative twenty

What is the area of 9 cm 3 cm of the rectangle

Answers

Answer:

27cm²

Step-by-step explanation:

it should be the area of rectangle..

Answer:

Step-by-step explanation:

27 sq cm

Isolate y in the equation 3x+2y=8

Answers

Subtract 3x
2y=-3x+8
Divide by 2
Y=-3/2x+4

$3x+2y=8$

=> '3x' should pass to the other side. ( negative )

$2y = 8 -3x$

=> 'y' should be left alone

$y = (8-3x)/(2)$

Pls help me with this i will give crown

Answers

Answer:

Step-by-step explanation:

The easiest way to solve this would be to find the difference between the numbers. We can do $-3-(-9)$ to find the difference of $6$ . We can then make sure this is true for the rest of the sequence by adding 6 to each number.