Divide the following complex numbers 30+20i/1+5i

Answer:

let sum of money be x

amount=rupees5454

rate=8%

time=30 months

convert month into year

30/12=5/2 years

Step-by-step explanation:

interest=p*t*r/100

=x*5*8/100*2

=40x/200

=x/5

so to find principal use formula

amount=principal +interest

5454=x+x/5

5454=5x+x/5

5454*5=6x

27270/6=x

4545=x

therefore ,sum of money(principal)=rupees.4545

Hope this helps u!!

Answer:

D

Step-by-step explanation:

Answer: 169/225 (0.75 2d.p)

Step-by-step explanation:

c²=a²+b² as C is Hypotenuse (largest side)

c²=(1/3)² + (4/5)²

c²= 1/9 + 16/25

c=169/225

Answer:

18

Step-by-step explanation:

Do it by count how many side are there by the squares

Answer:

19

Step-by-step explanation

right on edge 2021

Answer:

X=-Y

Step-by-step explanation:

...........................

Answer:

To order the numbers, start with the lowest (first) and work your way up (last). This is referred to as "Ascending Order." Consider climbing a mountain.

Answer:

I think u left out the word sorry dude cant help u

Answer:

x = 4

y = 2√2

Step-by-step explanation:

This triangle can be recognized as a 45 - 45 - 90, right isosceles triangle. The hypotenuse in a right isosceles triangle is √2 times a leg. We can say:

x = √2 * 2√2

x = 4

Since the triangle is isosceles, we can say the legs are equal, therefore:

y = 2√2

Answer:

960 cm³ I think it may be correct

Answer and Step-by-step explanation:

Assuming the room is a type of rectangle, we need to divide the area by the width to get the length.

So, do 400 divided by 20 to get the length, as length times width equals the area.

400 divided by 20 = 20.

The length of the room is 20 ft. (meaning the room is a perfect square.

#teamtrees #PAW (Plant And Water)

Answer:

[tex]c = -6[/tex]

[tex]d = -1[/tex]

Step-by-step explanation:

Given

See attachment for grid

Required

Find c and d

From the attachment, we have:

[tex]a = (3,5)[/tex] --- Point on A

[tex]a' = (-3,-6)[/tex] --- Corresponding point on B

When A is reflected across the x-axis, the rule is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex](3,5) \to (3,-5)[/tex]

Next, is to calculate the translation from [tex](3,-5)[/tex] to [tex](-3,-6)[/tex]

This is calculated using:

[tex]3 + c = -3[/tex]

and

[tex]-5 + d = -6[/tex]

So, we have:

[tex]3 + c = -3[/tex]

[tex]c = -3-3[/tex]

---- i.e. Shift by 6 units to the left

[tex]-5 + d = -6[/tex]

[tex]d = 5 - 6[/tex]

[tex]d = -1[/tex]  --- i.e. Shift by 1 unit down

Answer:

5000 X (0.96)^n

$3607

Step-by-step explanation:

Profit decreases at a rate of 6% per year = 100 - 6 = 96%

In year 1, profit would be = 5000 x 0.96 = 4800

In year 2 = 5000 x 0.96^2 =

5000 X (0.96)^n

5000 X (0.96)^8 = $3607

Answer:

6 bags with 4 pencils and 6 stickers each.

Answer:

x = - 10

Step-by-step explanation:

Given

- [tex]\frac{4}{5}[/tex] x = 8 ( multiply both sides by 5 to clear the fraction )

- 4x = 40 ( divide both sides by - 4 )

x = - 10

Answer:

x= -1/10

Hope this helps

Answer:

it's black

Step-by-step explanation:

I can't see the question.

Answer: 27.2

Step-by-step explanation: add up the values then divide by the amount of values (6)

Answer:

C 3/4

Step-by-step explanation:

(2,-5) and (6,-2)

To find the slope, you subtract the 2 y-coords and the 2 x-coords.

-2-(-5)=3

6-2=4

So the slope is 3/4 or C.

---

hope it helps

Answer:

3/4

Step-by-step explanation:

(2, -5) and (6, -2)

Slope:

m=(y2-y1)/(x2-x1)

m=(-2+5)/(6-2)

m=(3)/4

m= 3/4

Answer:

y=x+6

Step-by-step explanation:

(0,6). y=mx+b or 6=1 × 0+b, or solving for b: b=6-(1)(0). b=6.

(1,7). y=mx+b or 7=1 × 1+b, or solving for b: b=7-(1)(1). b=6.

I inputted two points from the graph and solved them.

Hence the equation would be y=x+6

Answer:

y= x + 6

Step-by-step explanation:

For here we are looking for y= mx +b.

For the slope, It is y= 4/4.

That can be simplified into 1x or x.

Then look at where it contacts the y axis. It is at six. Plug all that in to get

y= x + 6

hope this helps!!

Answer:

(B)

They intersect at (8, 1)

Answer:54

Step-by-step explanation: 2*3*9=54

Answer:

Solution given:

f(x) = -3x + 1

f(-2)=-3×-2+1=7

f(0)=-3×0+1=1

f(3)=-3×-3+1=-8

So

Range is {7,1,-8) is a required answer

Answer:

y=10x-5

Step-by-step explanation:

should be the right answer since I used a calculator :p

Answer:

3

Step-by-step explanation: First, you find the mean of the data set. Then you take that mean and find the difference of that and each value, you add those up and find the mean of that number.

Answer:

27

Step-by-step explanation:

Answer:

249.9

Step-by-step explanation:

Area of the shaded region is 223.72 square units.

Step-by-step explanation:

Area of the shaded region = Area of parallelogram - Area of triangle

Area of the parallelogram = base x height

= 23.8 x 15

= 357 square feet

Area of triangle = \frac{1}{2}

2

1

x base x height

Let the height of the triangle be represented by h, applying the Pythagoras theorem;

23.8^{2}23.8

2

= 21^{2}21

2

+ h^{2}h

2

566.44 = 441 + h^{2}h2

h^{2}h

2= 125.44

h = \sqrt{125.44}

125.44

= 11.2

h = 11.2

Area of the triangle = \frac{1}{2}

21 x 23.8 x 11.2 = 133.28

Area of shaded region = 357 - 133.28

= 223.72

Area of the shaded region is 223.72 square units.

Answer:

B

i don't know how to explain what i did correctly but the answer is B

Answer:

D.

Step-by-step explanation:

x + 3 is 3 more laps

≥ 12 means at least 12.

Answer:

answer = -29

Step-by-step explanation:

2*-3*4-5

Answer:

-29

Step-by-step explanation:

=2(-3)(4)-5

=-6(4)-5

=-24-5

=-29

Hope this helps.