You are considering buying a 30-year U.S. Treasury bond but are nervous about the effect on bond price if the yield to maturity on the bond increases. The bond has a 3% coupon rate and pays coupons semi-annually. The duration is 19 years. Suppose that interest rates on this bond rise by 0.9%. Calculate the corresponding percentage change in the price of the bond using the approximation method based on bond duration.

Answer:

They sold 750

adult tickets is 275 and...

children's tickets is 475

Answer:

I think the answer is c = 25/4

Step-by-step explanation:

Answer:

The total bill = $20.85

Annie = $7.95

Suz = $4.17

Cynthia = $8.80

Step-by-step explanation:

Let the total bill = $x

For Annie

Annie, you had 3 slices and a medium soda so you should pay one-third of the bill. I'll chip in a dollar more than that, replied Annie.

Annie = 1/3 of x + $1

= 0.33x + $1

For Suz

And since you had only 2 slices and also ordered a small soda, you should pay 20% of the bill.

20% of x = 1/5x

= 0.2x

Cynthia said I ate 3 slices and had a large soda so I'll pay the remaining $8.80.

0.33x + $1 + 0.2 x + $8.80 = $x

Collect like terms

$1 + $8.80 = x - 0.33x - 0.2x

$9.80 = x - 0.53x

$9.80 = 0.47x

x = $9.80/0.47

x = $20.85106383

≈ $20.85

Therefore,

For Annie,

The total amount she is paying is

0.33x + $1

= 0.33 × $20.85 + $1

= $6.95 + $1

= $7.96

For Suz

= 0.2x

= 0.2 × $20.85

= $4.17

For Cynthia

= $8.80

Answer:

angle 5 is equal to angle 1

Answer:

The answer would be 11.

Step-by-step explanation:

First, you know that 22 and 33 make 5x. So, you must add 22 and 33 to get 55. Finally, you should divide 55 by 5 to get 11. I hope this helps everyone out there!

Answer:

x=11

Step-by-step explanation:

5x-22=33

+22= 33+22

5x=55

5x/5x=55/5

1x= 11

Complete question is;

Mr. Stein receives a water bill from city hall. He notices that the city charges $50 for fire and sewer service and $3 for every 1000 gallons of water used. Mr. Stein wants to construct a model describing the relationship between the cost of his water bill and the amount of water he uses.

Which statement best describes the model that Mr. Stein should create?

A. Mr. Stein should use a linear model, since the water bill changes at a constant rate relative to the amount

of water he uses.

B. Mr. Stein should use an exponential model, since the water bill changes at a constant rate relative to the amount of water he uses.

C. Mr. Stein should use a linear model, since the water bill changes at a constant percent rate relative to the amount of water he uses.

D. Mr. Stein should use an exponential model, since the water bill changes at a constant percent rate relative to the amount of water he uses.

Answer:

Option A: Mr. Stein should use a linear model, since the water bill changes at a constant rate relative to the amount

of water he uses.

Step-by-step explanation:

We are told that the city charges $50 for fire and sewer service and $3 for every 1000 gallons of water used.

Since there's a fixed charge of $50 for fire and sewer service and also that the city charges $3 for every 1000 gallons of water used. It means that there is a constant rate of charge for every 1000 gallons used.

It means that the bill he gets depends on the rate of water he consumes.

Thus, stein should use a linear model because the water bill changes at a constant rate relative to the water he consumes.

Answer:

A

Step-by-step explanation:

Answer:

Answer I think 2 is it

...........

Answer:

4x+2

I hope this helps love. Have a good night!!

Remove parentheses.

5x+3-x-15x+3−x−1

Collect like terms.

(5x-x)+(3-1)(5x−x)+(3−1)

Simplify.

4x+24x+2

Answer:

mortgage

Step-by-step explanation:

are loans distributed by banks to allow consumers to buy homes they can't pay for upfront. A mortgage is tied to your home, meaning you risk foreclosure if you fall behind on payments. Mortgages have among the lowest interest rates of all loans.

Answer:

An 18-month loan with a 4.75% annual simple interest rate

Step-by-step explanation:

Answer:

answer is 5/24

Step-by-step explanation:

hope it help

Answer:

$2,651

Step-by-step explanation:

The first step is to find what 1.5% of $2,600 is.

Secondly, divide 2600 / 100 = 26

Finally, multiply 26 by 1.5 = 39.

Add 39 and 12 to 2600 = $2,651.00 total earnings for the month.

Answer:

15,011

Step-by-step explanation:

Because 1.5 percent of 825,000 is 12375. She gets 2,600, so add that, and 12 times 3 for 3 houses is 36.

Add 12,375+2,600+36, you get 15,011!

Answer:

2,4,6,7

Step-by-step explanation:

can't have the same x value in a function

The functions are:

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

We know that the function are relation when the input values only be distinct and the output values can be different or same.

So, according to that

{(1,3), (3, 7), (5, 11), (7, 15), (9, 19)} is a function.

and, {(1, 3), (1,7), (5, 11), (5, 15), (9, 19)} is not a function.

and, {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 2)} is a function

and, {(2,4), (1, 1), (0,0), (1,-1), (2,-4)} is not a function.

and, {(6,3), (4, 1), (2, 1), (0, -1), (-2,-3)} is a function.

and, {(1,3), (3,7), (3, 11), (7, 15), (9,19)} is not a function.

and, {(1,3), (3,7), (5, 11), (9, 15), (9,19)} is not a function.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ5

answer:

1.25 %

explanation:

25 - 20 = 5 (5 plants didn't produce)

25 ÷ 100 × 5 = 1.25 %

Answer:

The closer a data's point residual is to 0 the better the fit.

Answer:

56.775

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

plug in the value to the given expression

f(-4) = 4(-4) - 9

f(-4) = -16 - 9

f(-4) = -25

Answer:

The height of the candle after 14 hours is 15.4 centimeters

Step-by-step explanation:

A linear function is a polynomial function of the first degree of the form:

f(x)= m*x + b or y= m*x + b

where m is the slope of the function and b is the ordinate at the the y-intercept.

In this case height=m*time + b

Given two points of the line, point 1 (x1, y1) and point 2 (x2, y2), we can find the equation of the line or linear function.

You must first find the slope of the line using the expression:

[tex]m=\frac{y2 - y1}{x2 - x1}[/tex]

In this case you know the two points are (x1, y1)= (10,17) and (x2, y2)=(21,12.6)

So the slope is:

[tex]m=\frac{12.6-17}{21-10}[/tex]

m= -0.4

Now you find the value of b, replacing m in the equation, the values ​​of x and y by the values ​​of the coordinates of one of the points and solving for b to obtain its value.

Replacing (x1, y1)= (10,17) and m=-0.4 in the expresion y=m*x+b:

17= -0.4*10 + b

and solving you get:

17= -4 + b

17 + 4= b

21= b

So: height= -0.4*time + 21 where the height is expressed in centimeters and the time in hours.

To calculate the height of the candle after 14 hours, you simply replace the time by 14:

height= -0.4*14 + 21

height= 15.4

The height of the candle after 14 hours is 15.4 centimeters

Answer:  brainliest please

Part 1) Option D

Part 2) Option C

Step-by-step explanation:

we know that

In a Rhombus

Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles

Part 1) What is the measure of angle  ?

-----> remember that the diagonals bisect the angles

Part 2) What is the measure of angle  ?

Remember that

In a rhombus consecutive angles are supplementary

so

The measure of angle  is equal to the measure of angle T divided by

Step-by-step explanation:

Answer:

TOTAL EARNINGS: 73,396.25

Step-by-step explanation:

9% of 256,00 is 23,040

Add 48,000

7.25*325 is 2356.25

Add all together

23,040+48,000+2,356.25

you get

73396.25

TOTAL EARNINGS: 73,396.25

Answer:

10.) suplementary  because they both make 180

11.) Congurent because they are vertical angles because they are on different sides of the line.

12.) congruent because they both are on the same line and are linear

13.) Supplementary beacuse the two angle create 180 degrees

14.) Suplementary beacuse the two angle create 180 degrees and are linear

Step-by-step explanation:

Answer:

= 25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

[tex]a^{-m} = \frac{1}{a^{m}}\\\\\\frac{1}{a^{-m}}=a^{m}\\\\(\frac{2^{-1}}{10^{-1}})^{2}=(2^{-1}*\frac{1}{10^{-1}})^{2}\\\\=(\frac{1}{2}*10)^{2}\\\\=(5)^{2}\\\\=25[/tex]

pls double check these im not super sure

im p sure the first one with || means parallel n second one means perpendicular lol

Answer:

m= ll m= -1/3

m= ⊥ m= 3

Step-by-step explanation:

uh regular slope

m = -1/3

parallel - slope is same

perpendicular - product of slopes is -1

People don't actually know this, but it isn't 4, it's 22. If Base+ball is Baseball, then 2+2 is 22

I hope this helps!

Answer:

f=(2,3)

D=(3,-1)

E=(-2,0)

Answer:

24 units^2

Step-by-step explanation:

I don't know the units but that would be the answer

Answer:

0.68, 68/100 or 17/25, and 17:25

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

y=-3/4x+0.5

Step-by-step explanation: