What is the price of a perpetuity that has a coupon of $55 per year and a yield to maturity of 2.5%? the price of the perpetuity is $?

MBND is a parallelogram as BN=MD and BN║MD.

A parallelogram is a quadrilateral whose both pair of opposite side are equal and parallel. Few examples of parallelograms are square, Rhombus  and rectangle.

Given ABCD is a parallelogram and ∠A=90°

Now we have to prove that MBND is a parallelogram

Given BN⊥AC and DM⊥AC

Since BN and DM are both perpendicular to the same straight line AC then we cam say that BN║DM.

Again we know  from the properties of parallelogram that the diagonal divides a parallelogram into two equal triangles.

Therefore the diagonal AC divides the parallelogram into two equal triangles ΔABC and ΔADC.

Now we know that the area of a triangle is given by [tex]\frac{1}{2}[/tex] ×base ×height .

Area of  ΔABC =Area of ΔADC

Since BN⊥AC and DM⊥AC

∴[tex]\frac{1}{2}[/tex]×BN×AC=[tex]\frac{1}{2}[/tex]×DM×AC

This above equation can be simplified as

BN=MD

Hence BMND is a parallelogram as we know from the properties of parallelogram that when a pair of opposite sides are equal and parallel in a quadrilateral it is a parallelogram.

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Answer:

32028464937583748374

The Constant of proportionality represented in equation is 4.75

The Constant of Proportionality defines the value which will remain constant in the whole system of equations. In the given equation, Liv earns $9.50 for selling every two bracelets. The equation represents the sale of Liv on the basis of its price and quantity and the Total amount that she gets. The equation is represented as y = 4.75x

Here, y is the total amount she gets, x is the number of pieces that she sold, and 4.75 is the constant of proportionality. In this case, the constant can be defined as the price of one bracelet that she sells.

This constant can be derived by simply dividing the total amount by the total number of pieces that she sells. It can be represented by :

               => y/x = c , where c is the constant

               => 9.5/2 = c  => c = 4.75

Hence, the Constant of Proportionality is 4.75.

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Lambert calls the difference between the angle-sum of a triangle and 180 degrees the defect.

Therefore, Lambert calls the difference between the angle-sum of a triangle and 180 degrees the defect.

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Answer:102

Step-by-step explanation:

The interior angles of a triangle have to measure 180 degrees, which is an isosceles triangle, and 39+39=78.

180-78=102.Therefore the  answer is 102

Anna's weight is 115 pounds and Janet's weight is 135 pounds.

To find the wight of Anna and Janet:

It is assumed:

Also,

So,

Subtraction of both sides by 20 yields:

By dividing both sides by 2, we get:

So, Anna's weight is 115 pounds and Janet's weight is 115+20=135 pounds.

Therefore, Anna's weight is 115 pounds and Janet's weight is 135 pounds.

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The correct option is B: The larger rectangle can have the length of 7, width 9+9 and the area 7×9 + 7×9.

The two rectangle are given with the same dimensions.

The length are given as 9 and 7.

The, both rectangle are placed such that they forms the larger rectangle;

The placing is such that side with the length of 9 units are joined together.

Thus, the new width of the rectangle will be; 7 + 7.

The length of rectangle will remain same of 9 units.

The area of rectangle = length x breadth

area of larger rectangles = 7×9 + 7×9.

Therefore, the option which correctly points the condition is option B.

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Answer:

1/2

Hope this helps with your question :)

======================================================

Work Shown:

20% of $9.50 = 0.20*9.50 = 1.90

You earn an extra $1.90 on top of the $9.50 already there. So the new wage is 9.50 + 1.90 = 11.40 dollars per hour

-----------

Shortcut:

1.20*9.50 = 11.40

Think of 1.20 as 100% + 20% = 1 + 0.20 = 1.20, and this represents an increase of 20%

Answer:

90.29

Step-by-step explanation:

I did math

The amount of money the women had in the beggining was $75.

Let the total amout of money the women had intially be x.

According to the questio.

A woman went shopping and spent 2/3 of all the money she had. Then she lost 3/5 of what she had left after shopping.

So, the amount of money she spent for shopping = (2/3)x = 2x/3

⇒ The amount of money she had after shopping

= x -2x/3

= 3x -2x/3

= x/3

Now, the amount of money she lost 3/5 × (x/3) = x/5

⇒ Amount of money she have after the lost of money

= x/3  - x/5

= 5x - 3x /15

= 2x/15

It is given that she have $10.

⇒ 2x/15 = 10

⇒ 2x = 150

⇒ x = 150/2

⇒ x = $75

Hence, the amount of money the women had in the beggining was $75.

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The profit percentage for the lawn owner is 15.8%

Profit Percentage:

Profit means, if the selling price of a product is more than its cost price, there is a profit earned in the transaction.

So, it can be calculated as,

Profit = Selling Price - Cost Price

The formulas for profit percentage is,

Profit percentage(P%) = (Profit /Cost Price) × 100

Given,

Here we need to find the profit percentage, If a lawnmower has a cost price of $2500 and was sold for $2895.

Based on the question,

We know that,

Cost Price = $2500

Selling Price = $2895

So, the profit is,

profit = $2895 - $2500

profit = $395

Now, the profit percentage is calculated by apply the values on the formula,

profit percentage (P%) = (395/2500) x 100

Therefore,

P% = 395/25

P% = 15.8%

Therefore, the profit percentage for the lawn owner is 15.8%.

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Answer:

Step-by-step explanation:

what is the question>

Answer:

pqr²−p²r−q²r+pq

Step-by-step explanation:

Let's simplify step-by-step.

pq(r²+1)−r(p²+q²)

Distribute:

=(pq)(r²)+(pq)(1)+−p²r+−q²r

=pqr²+pq+−p²r+−q²r

=pqr²−p²r−q²r+pq

Step-by-step explanation:

13 is the answer that is need

Answer:

19, 29, 29, 37, 41

Step-by-step explanation:

1. What we know: x y 29 z 41

(x+y+29+z+41)/5 =31

x y and z each >9 and prime

Possibile numbers: 11, 13, 17, 19, 23, 29, 31, 37, 41

2. (x+y+29+z+41)/5 =31

x+y+29+z+41 = (31×5)

x+y+z = (31×5) -29 -41

x+y+z = 85

z>=29

x<=29

y<=29

x and y can be 11, 13, 17, 19, 23, 29

z could be 29, 31, 37, 41

At least one if them must equal 29 because it's the mode.

So two of them must equal 56

11+29=40 so both numbers cannot be less than or equal to 40

This means y is 29 because x + z has to equal 56 and that wouldn't be possible if x equals 29.

Now we know x+z=56

Possible numbers: 19+37

I found these by doing 56- each possible number for x and seeing if that equaled a possible number for z. For example 56-11=45 but z cannot be 45 therefore x cannot be 11 and so on.

Then you just plug in the numbers!

19, 29, 29, 37, 41

This was so much fun to solve! I hope this is helpful, let me know if you have any questions! You got this :)

Answer:

I believe the answer is C

Step-by-step explanation:

I think this because I gathered the info of -650, -872, and 50

Answer:

never

Step-by-step explanation:

-1=0 is not possible

The water level decrease each day is A. 0.25 in.

From the information, the water level in a swimming pool decreases from 60 inches to 58.25 inches in one week.

There are 7 days in a week.

Therefore, the rate if decrease per day will be:

= (60 - 58.25)/7

= 1.75 / 7

= 0.25

Therefore, the correct option is A.

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Option A.  [tex]Y = 3(2)^{X}[/tex]

Here, looking at the graph we can see that when x = 0, the value of y will be 3. Thus, (0, 3) is a solution to the given function.

Putting x = 0 in the given options, we see that

A. y = 3(1) = 3 (as anything raised to the power is 1)

B. y = 2(1) = 2

C. y = 4(1) = 4

D. y = 3(1) = 3

Thus, we can eliminate option B and C as (0, 3) does not satisfy these equations.

Now, if we take x = 1, from the graph we can see that the value of y will be 6.

Substituting x = 1 in the remaining two options, we get

A. y = 3(2) = 6

D. y = 3(4) = 12

Thus, D is also eliminated.

Option A, y = 3(2)^x is the correct answer.

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The inequality for Leila claim is (0.75 × x) > (0.50 × y) and the support claim is x = 100 and y = 10 and that refutes the claim is x = 1 and y = 200

Inequality:

Inequality are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given,

Leila says that 75% of a number will always be greater than 50% of any other number.

Here we need to find the inequality and we also need to find one that supports Leila's claim and one to show that she is incorrect.

Let x and y be two numbers.

Leila says that 75% of a number will always be greater than 50% of any other number.

This means that the inequality is,

=> (0.75 × x) > (0.50 × y)

We know that,

75% of x = 0.75 × x

and

50% of y = 0.50 × y

So,

Numbers that support Leila's claim.

Let x = 100 and b = 10

=> 0.75 × x

=> 0.75 × 100 = 75

and

=> 0.50 × 10 = 5

As we know that, based in on the inequality,

=> 75 > 5

Hence, x = 100 and y = 10 support Leila's claim.

Similarly,

Numbers that refutes her claim.

Let x = 1 and y = 200

=> 0.75 × x

=> 0.75 × 1 = 0.75

and

=> 0.50 × 200 = 100

As we know that,

=> 0.75 < 100

Hence, x = 1 and y = 200 refutes Leila's claim.

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Consider the composite function g (f (x)) = x startroot 6 endroot. if f(x) = 3x2,  g (x) = StartRoot 2 x EndRoot.

What is squareroot?

Example of a square root-

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Answer:

What does x=

Solve for x

x=25

Answer:

Step-by-step explanation:

(5x+10)+(2x-5)= 180°

first we simplify as much as possible

so, we can add 5x + 2x to get 7x

then we do 10-5 which equals 5.

now we have

7x+5=180

subtract 5 from both sides

7x= 175

x=25

now we input x into <ABD

5x+10

5(25)+10

125+10

130

<ABD=130°

This type of sum is Liquidated damages.

Liquidated damages are presented in certain legal contracts as an estimate of otherwise intangible or hard-to-define losses to one of the parties.

As per the given situation we have

parties to a sales contract have stipulated that a specific sum be paid by any party

Liquidated damages occur in such a situation.

The amount of damages that the parties estimate and agree upon at the time of the contract for a breach of the agreement by either party is referred to as liquidated damages.

Regardless of the actual cost of any potential damages due to the breach of the contract, this amount becomes due immediately.

According to Section 74 of the Indian Contract Act, 1972, if parties agree a sum to be paid as damages or a penalty to be imposed for a breach, the harmed party is only entitled to that sum or penalty and no other higher or lesser sum.

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Answer:The angles in a triangle add up to 180 degrees

Answer:

[tex]\boxed{3} \;v^2 + \boxed{4}\;v + \boxed{5}[/tex]

Step-by-step explanation:

Original expression: 3 + v + 4v² + 2 - v² +3v

Combining like terms in a equation means grouping them together to get a single instance of that term instead of multiple

For example in this expression we can see there is a +4v² and a -v². Group these together and simplify algebraically to get a single v² expression. Do the same with the others.

3 + v + 4v² + 2 - v² +3v

Group the v² terms together to get 4v² - v² = 4v² - 1v² = 3v²  (v² == 1v²)
(since the variables are same we can simply add the coefficients

Now group the v terms and simplify

3 + v + 4v² + 2 - v² + 3v
v + 3v = 4v

Finally group the constants
3 + v + 4v² + 2 - v² +3v
3 + 2 = 5

So the final expression is

3v² + 4v + 5

The numbers are what you put in the boxes for each

Usually this process is done in a few steps
3 + v + 4v² + 2 - v² +3v

= (4v² - v²) + (v + 3v) + (3 +2)
= 3v² + 4v + 5