A sum yields an interest of Rs. 900 at 15% simple interest per annum in 4 years. Find the sum.

Answer:

This graph is linear, the degree of x does not exceed 1 and the graph forms a line.

Step-by-step explanation:

Answer:

the answer to your question is 7.5

Answer:

Rectangle

Step-by-step explanation:

2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.

Answer:

the slope is undefined

Step-by-step explanation:

Answer:

Step-by-step explanation:

(8 + 13)/(17-17) = 21/0 = undefined

Answer:

slope is 5/1

Step-by-step explanation:

y=mx+b

m=slope

Answer:

The slope is 5.

Step-by-step explanation:

Y is the y-axis. 5 is the slope. X is the x-axis. -1 is the y-intercept.

Answer:

6.82

Step-by-step explanation:

15/11=x/5

(15/11)5=6.81818181818

Answer:

uniform width around the landing pad = 9.41 feet

Step-by-step explanation:

Length of landing pad = 80 ft

width of landing pad = 50 ft

Length of safety zone = (80 + 2w)

width of safety zone = (50 + 2w)

Total area = 10800 [tex]ft^{2}[/tex]

Area of landing pad = length x width

                                  = 80 x 50

                                  = 4000 [tex]ft^{2}[/tex]

Area of landing pad = 4000 [tex]ft^{2}[/tex]

Thus,

area of safety zone = total area - area of landing pad

                                 = 10800 - 4000

                                 = 6800

area of safety zone = 6800 [tex]ft^{2}[/tex]

But,

area of safety zone = length x width

6800 = (80 + 2w) x (50 + 2w)

6800 = 4000 + 160w + 100w + 4[tex]w^{2}[/tex]

divide through by 4,

1700  = [tex]w^{2}[/tex] + 65w + 1000

⇒ [tex]w^{2}[/tex] + 65w + 1000 - 1700 = 0

[tex]w^{2}[/tex] + 65w -700 = 0

Applying the quadratic formula,

w = (-b ± [tex]\sqrt{b^{2} -4ac}[/tex]) ÷ 2a

a = 1, b= 65 and c = -700

w = (-65 ± [tex]\sqrt{(65)^{2}-(4*1*-700) }[/tex]) ÷ 2

   = (-65 ± [tex]\sqrt{7025}[/tex]) ÷ 2

   = (-65 ± 83.82)÷ 2

w = (-65 + 83.82) ÷ 2 OR (-65 - 83.82) ÷ 2

   = 18.82 ÷ 2 OR -148.82 ÷ 2

   = 9.41 OR -74.41

Thus, w = 9.41 ft.  

Answer:

Hope it helps you,

Step-by-step explanation:

As the figure can be split in to 3 geometric figure,

Rectangle , Triangle and Semi circle ,

So first find the area of these figures then add up them ,

Area of rectangle = Length * width

Length = 20m m  and  width  = 14 mm

hence

Area of rectangle = 20*14  = 280 mm^2

Now ,

Are of  Circle  =  [tex]\\ \pi *d^{2} /4[/tex]

Then Area of semi circle = [tex]\\ \pi *d^{2} /8[/tex]

Hence we have d= 20mm

Putt in semi circle formula we get,

Area of Semi Circle= (3.14)*400/8  = 157 mm^2

Now area of triangle = 1/2 * length*width

length =32-20 = 12 mm

width = 14 mm

putt in the formula we get ,

Area of triangle = 1/2*12*14 = 84 mm^2

Now add these 3 Areas to get total Area,

[tex]{ \huge{ \green{ \underline{ \frak{Question}} \colon}}}[/tex]

[tex]{ \large{ \pink{ ⇝ \: \rm{To \: \: Find \: \: \bigg (4.9 \div \dfrac{1}{10} \bigg)}}}}[/tex]

[tex]{ \huge{ \purple{ \underline{ \frak{Answer}} \colon}}}[/tex]

[tex]{ \large{ \red{➢ \: \: \rm{4.9 \div \dfrac{1}{10} }}}}[/tex]

[tex]{ \large{ \orange{ ➢ \: \: \rm{4.9 \times 10}}}}[/tex]

[tex]{ \large{ \blue{➢ \: \: \bf{ \boxed{\bf{49 }}\: \: Ans.}}}}[/tex]

Answer:

y = -4x+3

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

5/4

Step-by-step explanation:

Rise over run you go up 5 and left 4 so 5/4 is the ROC.

The rate of change of the function is given by the slope of the line m = -4/3

The equation of a line is y = mx + b where m is the slope which is the rise by run and b is the y-intercept

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

Given data ,

Let the rate of change of the function be m

The equation is represented as A

Now , the value of A is

Let the first point be P ( 0 , 4 )

Let the second point be Q ( 3 , 0 )

Slope m = -4/3

On simplifying the equation , we get

Slope m = -4/3

Now , the equation of line is

y - 4 = ( -4/3 ) ( x - 0 )

On simplifying the equation , we egt

y - 4 = ( -4/3 )x

y = ( -4/3 )x + 4

Hence , the equation of line is y = ( -4/3 )x + 4 and the rate of change of the function is m = -4/3

To learn about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

C) Adjacent angles

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap

also complementary is 90 degree so No

Vertical are opposite so No

Corresponding are on parallel lines so No

Answer:

OR just 3

Step-by-step explanation:

z^2-9 becomes sqrt(z^2)=sqrt(9) becomes z=+-3

Answer:

x=6

Step-by-step explanation:

Since the two lines  are  parallel, the angles are congruent to each other.

-4+14x=80

14x=84

x=6

Hope  this helps!

Answer:

6

Step-by-step explanation:

-4+14x=80

14x=84

x=6

Hopefully, it helps and it's correct!

Answer: you have it right x is greater than 4 also it could be the line

Step-by-step explanation:

Answer:

r = -11

Step-by-step explanation:

14-r ÷ [2-(-3)] = 5

cross-multiply:

14-r = 5*5

14-r = 25

-r = 11

r = -11

Answer:

2³ · 7

Step-by-step explanation:

Answer:

2x2x2x7

Step-by-step explanation:

56

^  

2   28

   ^

2      14

     ^

2           7

Answer:

AYEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

Answer:

She will run 4.95 miles

Step-by-step explanation:

Since she will run 1.1 times the amount, you multiply this by the previous value:

4.5 miles x 1.1 = 4.95 miles

Answer:

Ok so this is not a function.

However i'm not real sure about domain and range because i'm not sure what you can do in those boxes but this is a guess.

Hope this helps though!:)

Domain: -3, -2, -1, 0

Range: 12, 13, 14, 15

Answer:

[tex]3^{3}[/tex]

Step-by-step explanation:

[tex]\frac{(3^{4})(3^{2}) }{3^{3} }[/tex]

the product rule states that you add exponents when you multiply

[tex]\frac{3^{6} }{3^{3} }[/tex]

the quotient rule states that you subtract exponents when you divide

[tex]3^{3}[/tex]

Answer:

3 3

Step-by-step explanation:

I rounded it up (somehow) and I got 3 3 as the answer

Answer:

45 degrees

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

The full angle is supplementary (180 degrees) so you just do

180-(90+30)

180-120

x=60

Answer:

It is true.

Step-by-step explanation: