Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.

Answer:

formula for area is length × height

so we have 13+8 ×16+4

21×20 = 420m

Answer:

(i) In △ABD and △ACD,

AB=AC ....(since △ABC is isosceles)

AD=AD ....(common side)

BD=DC ....(since △BDC is isosceles)

ΔABD≅ΔACD .....SSS test of congruence,

∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)

(ii) In △ABP and △ACP,

AB=AC ...(since △ABC is isosceles)

AP=AP ...(common side)

∠BAP=∠PAC ....from (i)

△ABP≅△ACP .... SAS test of congruence

∴BP=PC ...[c.s.c.t].....(ii)

∠APB=∠APC ....c.a.c.t.

(iii) Since △ABD≅△ACD

∠BAD=∠CAD ....from (i)

So, AD bisects ∠A

i.e. AP bisects∠A.....(iii)

In △BDP and △CDP,

DP=DP ...common side

BP=PC ...from (ii)

BD=CD ...(since △BDC is isosceles)

△BDP≅△CDP ....SSS test of congruence

∴∠BDP=∠CDP ....c.a.c.t.

∴ DP bisects∠D

So, AP bisects ∠D ....(iv)

From (iii) and (iv),

AP bisects ∠A as well as ∠D.

(iv) We know that

∠APB+∠APC=180

∘

....(angles in linear pair)

Also, ∠APB=∠APC ...from (ii)

∴∠APB=∠APC=

2

180

∘

=90

∘

BP=PC and ∠APB=∠APC=90

∘

Hence, AP is perpendicular bisector of

Step-by-step explanation:

HOPE ITS HELP YOU

Answer:

x² * -1/2,

x² + 3

Step-by-step explanation:

The first exprsession always returns a positive number for the square but ends up being negative after the multiplication no matter the inputted values. The second one is always positive.

Two expressions that will never return the same output are 2x - 1 and 2x - 3

Assume the expressions are linear functions

A linear function is represented as:

y = mx + c

For the expressions to have different outputs, both expressions must have the same slope but different y-intercepts

Take for instance 2x - 1 and 2x - 3

Hence, the two expressions that will never return the same output are 2x - 1 and 2x - 3

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Answer:

thank you pare XD

Step-by-step explanation:

(≧▽≦)(≧▽≦)

Answer:

It would be Number of Hours

Step-by-step explanation:

The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"

Hope this Helps :)

Answer:

£650=$1053

£405=$656.1

from the scale we multiply the values of euro by 1.62

Answer:

1.) 401 dollars

2.)656 euros

Answer:

The value of [tex](-25)^{\frac{1}{2} }=5i[/tex]

Step-by-step explanation:

We need to find [tex](-25)^{\frac{1}{2} }[/tex]

We have

[tex](-25)^{\frac{1}{2} }=\sqrt{-25} \\\\=\sqrt{25} \times\sqrt{-1} \\\\=5 i[/tex]

Answer:

h = 60˚

Step-by-step explanation:

Look at where it shows the 120˚, and its verticle angle. Verticle angles are congruent, or the same meaning it's also 120˚.

Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same. I'll call this angle m to save time and hopefully confusion.

Now, h and m are supplementary angles, meaning they add up to 180˚.

180˚ - 120˚, or 60˚ is your answer.

h = 60˚

The solution is, the value of h is, h = 60˚

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

Look at where it shows the 120˚, and its vertical angle.

Vertical angles are congruent, or the same meaning it's also 120˚.

now, we have,

Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same.

We call this angle m to save time and hopefully confusion.

Now, h and m are supplementary angles,

meaning they add up to 180˚.

so, we have,

180˚ - 120˚,

or 60˚ is your answer.

i.e.

h = 60˚

Hence, The solution is, the value of h is, h = 60˚

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Answer:

the 3 one

Step-by-step explanation:

Answer:

2(3×2)+2(3×1.5)+2(1.5×3)

Step-by-step explanation:

12+9+9

30

Answer:

30cm square

Step-by-step explanation:

2(3×2)+2(3×1.5)+2(1.5×3)

2[3×2+3×1.5+1.5×3]

2(6+4.5+4.5)

2×15

30

Answer:

The locations of E' and F' are E'(-2,0) and F'(0,1), and lines g and g' are parallel.

Step-by-step explanation:

I got it right on my test! :)

The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

As we know,

The dilation is transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

From the graph:

The coordinate for E and F are:

E = (-4, 0)

F = (0, 2)

The scale factor = 1/2

E' = (-4/2, 0) = (-2, 0)

F' = (0, 2/2) = (0, 1)

Thus, the locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) correct.

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Answer: 24/2^2=50−62−8

Step-by-step explanation:

The equations which is true equation is 24/2² = 50−6²−8.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1. 24/2² = 50−6²−8

LHS = 24/2² = 24/4 = 6

RHS = 50−6²−8 = 6

2. 56÷8+32=2⋅23

LHS = 56÷8+32 = 7 + 32 = 39

RHS = 2⋅23 = 46

3. 8²−5² =4²−7

LHS = 8²−5² = 39

RHS = 4²−7 = 21

4. 39−3⋅6=6⋅104+4

LHS = 39−3⋅6 = 35.4

RHS = 6⋅104+4 = 528

Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.

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Answer:

It's 47 because it's an isosceles triangle.

Step-by-step explanation:

Answer:

F is equal to 47

Step-by-step explanation:

G is equal to F

Answer:

Explanation

Step-by-step explanation:

If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.

Answer:

644.972

Step-by-step explanation:

6x100=600

4x10=40

4x1=4

9x(1/10)=0.9

7x(1/100)=0.07

2x(1/1000)=0.002

add all of these values up. hope this helps!

Answer:

Step-by-step explanation:

a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit

b. 50n > 135 + 4.50n

Answer:

Top question: -7°

Bottom question : 18°

Step-by-step explanation:

Top question:

The base angles of am isosceles triangle are congruent:

x + 46 = 39 because the base angles of an isosceles triangle are congruent

x + 46° = 39°

x = -7°

Bottom question

The missing angle is 3x because the base angles are congruent

To find the value of x, we must add all the angles inside the triangle, and find the value of x that makes it equal to 180°

3x + 3x + 4x = 180°

10x = 180°

x = 18°

Sorry for the late post!

-Chetan K

Step-by-step explanation:

Given,

3 coffee + 2 muffins = $7

and

2 coffees + 4 muffins = $8

let the coffee be x and muffins be y.

so now, we got

3x + 2y = $7 -----------(eqⁿ 1)

2x + 4y = $8 -------------(eqⁿ 2)

multiply (eqⁿ 1) by 2

we got,

2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)

now, subtract (eqⁿ 2) from (eqⁿ 3)

we got,

(6x - 4y = $14) - (2x + 4y = $8)

we got,

4x = $6

x = 6/4 = $1.5

to get value of y put the value of x in eqⁿ2

we got,

→ 2(1.5) + 4y = $8

→ 3 + 4y = 8

→ 4y = 8 - 3 = 5

→ y = 5/4 = $1.25

hence,

value of one coffee = $1.5

value of one muffin = $1.25

Hope this answer helps you dear! take care!.

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 125 from both sides.

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

2. (Solving)

Step 1: Subtract 55 from both sides.

Therefore, d = 55.

Answer:

545256

Step-by-step explanation:

Answer:

3 scoops

Step-by-step explanation:

If the bird feeder holds 1/2 cup, and Maya is filling it with a scoop that holds 1/6 cup of birdseed, then Maya will need 3 scoops of the 1/6 cup scoop.

1/6 + 1/6 + 1/6

= 3/6

= 1/2

64.5

Explanation:

-(4.1-3(2.2))=2.5

2.5÷(-0.2)^2=62.5

62.5+2=64.5

THEREFORE

the answer is 64.5

The solution of the mathematical expressions will be 64.5

What is Number system?

A system of writing to express the number is called number system.

Given that;

The mathematical expressions are,

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

Now,

Solve the expression as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

Using the BODMAS rule to solve the expressions as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

⇒ - [ 4.1 - 6.6 ] / (-0.2)²  + 2

⇒ - [-2.5] / (-0.2)²  + 2

⇒ 2.5 / 0.04  + 2

⇒ 62.5 + 2

⇒ 64.5

Therefore,

The solution of the mathematical expressions will be 64.5

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Answer:

y/x

Step-by-step explanation:

If x is proportional to y, then:

y = kx, where k is a constant

This can be rearranged to give:

k = y/x

As mentioned, k is a constant, therefore, the answer is y/x

Answer:

1/4

Step-by-step explanation:

Answer:  All real numbers.

Step-by-step explanation:

4(a+3) = 12 + 4a

4a + 12 = 12 + 4a

Any value of a will work in this equation, since it is a simple identity.  4a + 12 will always equal 4a + 12, regardless of a.

All real numbers, although I don't know why imaginary numbers wouldn't also work.

Answer:

Daughter is 6 , mother is 30.

Step-by-step explanation:

Answer:

C=22÷7×8

=3.14×8

=25.12

The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

What is reflection?

So, the △A'B'C' is:

△ABC:

Now, Translation: (x,y)→(x+2,y+1) (

(x: axis is the line of reflection)

△A'B'C'

Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

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Answer:

The second one: r x-axis. R 90(x,y)

Step-by-step explanation:

You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.

The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the rule which describes the composition of transformations that maps ΔABC to ΔA"B"C".

Now, You can see that from ABC to A'B'C',

it's rotated a positive 90 degrees.

And, Then, from A'B'C' to A"B"C", reflected across x-axis.

Now, when writing the transformation, it goes by last to first. that's why the R 90 comes first.

Thus, The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

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