On a separate piece of graph paper, graph y = |x| - 1; then click on the graph until the correct one appears.

Answers

Answer 1

Answer with explanation:

 y= |x| -1

|x|=x , if x≥0

and = -x , if x<0.

So,the above function can be written as

 [tex]y=\left \{ {{x-1,for, x\geq 0 } \atop {-x-1,for x<0}} \right.[/tex]

First Drawing the graph of

y= x-1 for, x ≥ 0

And , then , y= -x -1 ,for x <0.

and then combining, the two we get.

On A Separate Piece Of Graph Paper, Graph Y = |x| - 1; Then Click On The Graph Until The Correct One
Answer 2

Answer:

what they said

Step-by-step explanation:


Related Questions

Simplify the variable expression by evaluating its numerical parts and enter your answer m - 22 + 37 - 8

Answers

7 is the answer dddddddddddddddd

Answer:

M+7

Step-by-step explanation:

hoped it heped ^v^

simplify the expression -7/9 - 5/10

Answers

We can sum two fractions if they have the same denominator, so we have to rewrite both fractions so that they'll have the same denominator.

We can generate equivalent fractions by multiplying both numerator and denominator by the same number.

So, we have

[tex]-\dfrac{7}{9} = -\dfrac{7\cdot 10}{9\cdot 10} = -\dfrac{70}{90}[/tex]

Similarly, we have

[tex]-\dfrac{5}{10} = -\dfrac{5\cdot 9}{10\cdot 9} = -\dfrac{45}{90}[/tex]

Now we can sum the fractions:

[tex]-\dfrac{7}{9}-\dfrac{5}{10} = -\dfrac{70}{90}-\dfrac{45}{90} = \dfrac{-70-45}{90} = -\dfrac{115}{90} = -\dfrac{23}{18}[/tex]

To simplify the expression -7/9 - 5/10, find a common denominator, which is 90, convert and add the fractions to get -115/90, which is the simplified form of the expression.

The question asks to simplify the expression -7/9 - 5/10. To do this, we need to find a common denominator to combine these fractions. The least common denominator (LCD) for 9 and 10 is 90.

First, convert both fractions:

-7/9 = (-7*10)/(9*10) = -70/90-5/10 = (-5*9)/(10*9) = -45/90

Then, add the fractions:

-70/90 - 45/90 = -115/90

Finally, it is usually a good practice to simplify the fraction, but in this case, -115 and 90 do not have any common factors other than 1, so the simplified expression is -115/90.

what is the best next step in the construction of a line that passes through B and is perpendicular to line A?

A. set the compass to be equal to CD
B. set the co pass to be wider than it was when placed at point B to draw the arc that passes through C and D
C. set the compass to be greater than CD
D. keep the compass setting the same width as when it was placed at point B to draw the arc that passes through C and D

Answers

Answer:The answe is D

Step-by-step explanation:

The correct next step is to keep the compass at the same width used at point B to draw an arc through points C and D, enabling the construction of a perpendicular line. Hence correct option D.

The best next step in the construction of a line that passes through point B and is perpendicular to line A is to keep the compass setting the same width as when it was placed at point B to draw the arc that passes through points C and D. This ensures that the arcs intersect the line A at points that are equidistant from B, which is essential in establishing a perpendicular line.

The price of a digital camera was reduces from $350 to $280 by what percentage was the price of the digital camera reduced?

Answers

Answer:

20%

Step-by-step explanation:

First: work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

350-280= 70

Then: divide decrease by original number & multiply the answer by 100.

70/350= .2

.2*100= 20

Percentage Reduced = 20%

% Decrease = Decrease ÷ Original Number × 100

13 divide 32,708 what is the answer

Answers

Answer:

0.00039745627

13 / 32708 is 0.004

I got this answer by using Long Division.

Hope this helps

the graph below has the same shape. what is the equation of the graph?

Answers

C; A and B are incorrect because the shift is not vertical, it is horizontal. This is because 3 is in parenthesis or a 'grouping' (same thing if it is in an exponent) and is being modified. Since the graph is being translated down 3 units, D is incorrect since it is a translation up 3 units. The answer is C.

15% of 20 is
Ο 30
Ο 300

Answers

Answer:

3

Step-by-step explanation:

Is means equals and of means multiply

15% * 20 = ?

Change to decimal form

.15 * 20 = ?

3 = ?

15% of 20 is 3

does the equation y = 4.2 x represent a proportional relationship​

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=\stackrel{\stackrel{k}{\downarrow }}{4.2}x~~\checkmark~\hfill[/tex]

Answer: its proportional,

bud

Step-by-step explanation:

A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose . this table shows the results .
A person is randomly selected from those surveyed
Are being a student and preferring “shark” independent events ? Why or why not ?

Answers

The true statement about the events is (b) No, they are not independent because P(student)= 0.87 and P(student/shark)=0.95

How to determine the true statement?

Two events A and B are independent if

P(A∣B) = P(A)

Using the data entries in the table, we have:

P(Student) = 100/115

P(Student) = 0.87

Also, we have:

P(Student | Shark) = 90/95

P(Student | Shark) = 0.95

The probability values are not equal

i.e.

P(Student) ≠ P(Student | Shark)

Hence, the events A and B are not independent events because P(student)= 0.87 and P(student/shark)=0.95

Read more about probability at:

brainly.com/question/251701

#SPJ2

Evaluate 3/2y - 3 + 5/3z when y=6 and z=3

Answers

Answer: 11

Step-by-step explanation:

3/2(6) - 3 + 5/3(3)= 11

Solve the inequality n/-3+ 8 > 6.
A.) n > -6
B.)n > 42
C.)n < 6
D.)n > -42

Answers

Answer:

C.) n < 6

Step-by-step explanation:

Subtract 8:

n/-3 > -2

Multiply by -3. The negative multiplier requires the comparison be reversed:

n < 6

Final answer:

To solve the inequality n/-3 + 8 > 6, we first subtract 8 from both sides of the inequality and then multiply by -3. This reveals that n < 6, which corresponds to option C.

Explanation:

To solve the inequality n/-3 + 8 > 6, we first isolate the term containing n by subtracting 8 from both sides of the inequality:

n/-3 + 8 - 8 > 6 - 8

n/-3 > -2

Now, we can multiply both sides of the inequality by -3 to find the value of n. Remember, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign:

n/-3 × -3 < -2 × -3

n < 6

Thus, the correct answer to the inequality n/-3 + 8 > 6 is n < 6, which corresponds to option C.

A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?

a triangle that has the same dimensions as either base of the prism
a triangle that does not necessarily have the same dimensions as either base of the prism
a parallelogram that is not a rectangle
a rectangle

Answers

Answer:

The answer is a rectangle.

Step-by-step explanation:

A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?

The answer is rectangle. If the base is a rectangle and we slice it parallel to the base in the same direction as the base, we will get smaller and smaller rectangles with each slice.

This can be clear with the picture attached. If we slice parallel to rectangular base, the cross section will be a rectangle.

Help please what is the answer?

Answers

Answer:

C) 5.6

Step-by-step explanation:

AC = sqrt(11^2 + 2^2) = sqrt(125)

(1/2)AC = (1/2)sqrt(125)

(1/2)AC = 5.6

Answer: C) 5.6

Answer:

C, 5.6

Step-by-step explanation:

A midsegment is half of the side it is parallel to. This means that it is half of BC. They give us the coordinates for B and C so we can just use the distance formula (the square root of the change in x squared plus the change in y squared)

If you simplify it, you get root 125 which is about 11.2. 11.2 divided by 2 is 5.6, so your answer would be C.

Find the slope of the line through (2, -3) and (-4, 3).

-1
0
1

Answers

ANSWER

-1

EXPLANATION

The slope formula is given by

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

The slope of the line through (2, -3) and (-4, 3) is found by substituting the points into the above formula;

[tex]m = \frac{ - 3 - 3}{2 - - 4} [/tex]

This simplifies to

[tex]m = \frac{ - 6}{ 6} = - 1[/tex]

The slope is -1

Answer:

-1

Step-by-step explanation:

The slope of a line is the ratio of its change in rise to its change in run. In the -xy-plane, this is the same as the ratio of the change in y coordinate to the change in x coordinate. In notation, we write this as

[tex]\frac{\Delta y}{\Delta x}[/tex]

and calculate it by finding the difference between y coordinates and dividing it by the difference between x coordinates. Here, our y coordinates are 3 and -3, and our x coordinates are -4 and 2, so our slope would be

[tex]\frac{3-(-3)}{-4-2}=\frac{3+3}{-6}=\frac{6}{-6}=-1[/tex]

What graph represents a reflection of abc over the line x=0

Answers

Answer: D

Step-by-step explanation: APEX

Answer:

The correct option is D)

Step-by-step explanation:

line x = 0 is y-axis (vertical line)

When graph is reflected along y-axis so, it will be in second quadrant.

so, the graph which satisfying these condition is only option D)

in which c ordinate are A has (-1,1) ,B has (-4,1) and C has (-3,3)

Hence, the correct option is D)

Which is equal to the expression below?
(x-3x)+(3x-5x)+(5x-7x)+...+(23x- 25x)

A.
-26x
B.
-24x
C.
24x
D.
26x

Answers

-24x. This is an example of a "telescoping series". If you notice, the last and first part of each term cancel out. Take away the parenthesis and you'll see it. x-3x+3x-5x+5x-7x+7x... everything goes away except x-25x so it's -24x.

Martin can run 1 mile in 7 minutes. What proportions can be written from this information?

Answers

Answer:

[tex]\frac{1}{7}=\frac{3}{21}[/tex]

[tex]\frac{7}{1}=\frac{21}{3}[/tex]

Step-by-step explanation:

Verify each case

case 1) [tex]\frac{1}{7}=\frac{3}{21}[/tex]

Multiply in cross and then compare both sides

[tex]1*21=7*3[/tex]

[tex]21=21[/tex] ----> is true

therefore

Is a valid proportion

case 2) [tex]\frac{1}{21}=\frac{3}{7}[/tex]

Multiply in cross and then compare both sides

[tex]7*1=21*3[/tex]

[tex]7=63[/tex] ----> is not true

therefore

Is not a valid proportion

case 3) [tex]\frac{7}{1}=\frac{3}{21}[/tex]

Multiply in cross and then compare both sides

[tex]21*7=1*3[/tex]

[tex]147=3[/tex] ----> is not true

therefore

Is not a valid proportion

case 4) [tex]\frac{7}{1}=\frac{21}{3}[/tex]

Multiply in cross and then compare both sides

[tex]3*7=1*21[/tex]

[tex]21=21[/tex] ----> is true

therefore

Is a valid proportion

case 5) [tex]\frac{1}{7}=\frac{21}{3}[/tex]

Multiply in cross and then compare both sides

[tex]3*1=7*21[/tex]

[tex]3=147[/tex] ----> is not true

therefore

Is not a valid proportion

Answer:

a and d

Step-by-step explanation:

if you spin the spinner twice what is the probability that it will land on an even number both times​

Answers

The answer would be [tex]\frac{1}{4}[/tex] because half the chance of landing on an even number divided by 2 (2 times landing on the even number).

The probability that the spinner will land on an even number both times when spun twice is 1/4 or 25%.

To find the probability of two independent events occurring together, we multiply their individual probabilities. First, let's determine the probability of landing on an even number in a single spin. There are two even numbers (2 and 4) out of the four possible outcomes, so the probability of landing on an even number in one spin is 2/4 or 1/2.

Since we're spinning the spinner twice, the events are independent. This means that the outcome of the first spin does not affect the outcome of the second spin. Therefore, the probability of landing on an even number in both spins is the product of the individual probabilities. So, the probability of landing on an even number both times is:

Probability of landing on an even number in one spin = 1/2

Probability of landing on an even number twice = (1/2) * (1/2) = 1/4

To know more about probability here

https://brainly.com/question/11234923

#SPJ2

What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?

Answers

Answer: [tex](y-4)=3(x-1)[/tex]

Step-by-step explanation:

We know that the point slope form of a line that has a slope m and passing through point (a,b) is given by :-

[tex](y-b)=m(x-a)[/tex]

Given: Slope of a line: m = 3

Point through which line is passing : (1, 4)

The point slope form of a line that has a slope 3 and passing through point (1, 4) is given by :-

[tex](y-4)=3(x-1)[/tex]

– 4 = 3[(x – (–1)]

Step-by-step explanation:

WILL GIVE BRAINLIEST

Which describes a uniform probability model?
A) flipping a coin and rolling a six sided die
B) selecting a ball from 2 baseballs and 3 softballs
C) the number of heads and tails from flipping two coins
D) a spinner with five equal sections: 2 blue, 2 red, 1 yellow

Thank You! :)

Answers

Answer:

A

Step-by-step explanation:

sorry just a little confused

Answer:

A) Flipping a coin and rolling a six sided dice.

Step-by-step explanation:

Lets use a process of elimination in order to find the correct answer.

We are looking for a uniform probability model. This means that every outcome in this situation has the same chance of occurring.

D) This cannot be the right answer as the chances of probability are [tex]\frac{2}{5} ,\frac{2}{5} ,\frac{1}{5}[/tex]

As these are not all equal, this cannot be the right answer.

B) This cannot be the right answer as the chances of probability are [tex]\frac{2}{5} ,\frac{3}{5}[/tex]

As these are not equal, this cannot be the right answer.

C) Lets look at every outcome that could occur in this situation.

You could have 2H, 2T, HT, and TH. As HT and TH are the same, their probability can be written together.

This means that the probabilities would be

[tex]\frac{1}{4} ,\frac{1}{4} ,\frac{1}{2}[/tex]

This means that A must be the correct answer as we have ruled out every other option.

What is the truth value for the following conditional statement? p: false q: true ∼q → ∼p

Answers

Answer:

p false

Step-by-step explanation:

Answer:

Truth value of ~p → ~q will be False.

Step-by-step explanation:

If the truth value of conditional statement p is false then the truth value of

~p will be True

If the truth value of other statement q is True then the truth value of ~q will be False

We know truth value of the implication of two conditional statements a → b is False only when a is true and b is false.

Therefore, ~p → ~q will be False.

If I had $33,50 last month and this month I got a raise and brought back $45,70 how much more did I bring back

Answers

You brought back 12.2

hope that helped

2+14a=-8+9a

-2

-10

5

3

Answers

Answer:

-2

Step-by-step explanation:

2+14a=-8+9a

-9a          -9a

2+5a= -8

+8      +8

10+5a=0

-10      -10

5a= -10

-10/5a   =-2

select the items that would be best measured in grams.
mark all that apply.
A=watermelon
B=lettuce leaf
C=grape
D=onion​

Answers

Final answer:

Grams are best used to measure small, lightweight items. Therefore, a lettuce leaf, a grape, and an onion are the items from the provided list that would be best measured in grams. A watermelon, being larger, is typically measured in kilograms.

Explanation:

Selecting Items Best Measured in Grams

To answer the question regarding which items would be best measured in grams, let's start by understanding what grams are used for. Grams are a unit of mass commonly used to measure smaller, lightweight items. Considering the options given, let's evaluate each one:

A watermelon: While it has a significant amount of mass, a watermelon is generally better measured in kilograms due to its larger size.

B lettuce leaf: This is lightweight and would be best measured in grams, fitting the use of grams for small items.

C grape: Grapes are small and light, making grams the appropriate measure for their mass.

D onion: Typically, an onion is not too heavy and is suitably measured in grams, although if it's a particularly large onion, kilograms might be considered.

So, the items from the list that would be best measured in grams - considering they are small enough to fall into the range that the gram unit typically covers - would be a lettuce leaf, a grape, and an onion.

A French class has a total of
42
students. The number of males is
8
more than the number of females. How many males and how many females are in the class?

Answers

Their are 34 females in the class.

If 42 is the total amount of French students; subtract the amount of males(8) from the whole class to receive how many females their are in the class. Which is 34.

Solve the equation 5|b+8|=30

Answers

Answer:

b = -2 or b = -14

Step-by-step explanation:

[tex]5|b+8|=30\qquad\text{divide both sides by 5}\\\\|b+8|=6\iff b+8=6\ or\ b+8=-6\qquad\text{subtract 8 from both sides}\\\\b=-2\ or\ b=-14[/tex]

Final answer:

To solve the equation 5|b+8|=30, we first isolate the absolute value by dividing by 5, then set up two separate equations for b + 8 = 6 and b + 8 = -6. Solving each gives us the solutions b = -2 and b = -14.

Explanation:

To solve the equation 5|b+8|=30, we will first divide both sides of the equation by 5 to isolate the absolute value expression.

So moving from the equation 5|b+8|=30, we get |b+8| = 6. This means that the expression inside the absolute value can be either positive 6 or negative 6.

We then write two separate equations to solve for the variable b:

b + 8 = 6b + 8 = -6

Solving the first equation, we subtract 8 from both sides to find that b = -2. Solving the second equation, we subtract 8 from both sides to find that b = -14.

Thus, the solution for the equation 5|b+8|=30 is b = -2 or b = -14.

tell whether the angles are complementary or supplementary. then find the value of x

Answers

Hello,

In Q5. Being a straight line the angles are supplementary to each other.

And x = 70°

In Q6.

The angles sum up to 90° , so 25x + 30° = 90

25x = 60°

x= 60°/25 = 2.4°

Hope this helps.

Answer:

see explanation

Step-by-step explanation:

5

x and 110 form a straight angle and are supplementary, thus

x + 110 = 180 ( subtract 110 from both sides )

x = 70

6.

25x and 30 form a right angle and are complementary, thus

25x + 30 = 90 ( subtract 30 from both sides )

25x = 60 ( divide both sides by 25 )

x = [tex]\frac{60}{25}[/tex] = [tex]\frac{12}{5}[/tex]

what is the sum of an 8-term geometric series if the first term is -11, the last term is 180, 224, and the common ratio is -4​

Answers

Answer:

The sum is [tex]144,177[/tex]

Step-by-step explanation:

we know that

The formula of the sum in a geometric sequence is equal to

[tex]S=a1[\frac{1-r^{n}}{1-r}][/tex]

where

a1 is the first term

r is the common ratio

n is the number of terms

we have

a1=-11

r=-4

n=8

substitute the values

[tex]S=(-11)[\frac{1-(-4)^{8}}{1-(-4)}][/tex]

[tex]S=(-11)[\frac{1-(65.536)}{5}][/tex]

[tex]S=144,177[/tex]

Find the exact value. cos150°

Answers

ANSWER

[tex]\cos(150 \degree) = - \frac{ \sqrt{3} }{2} [/tex]

EXPLANATION

We want to find the exact value of cos(150°).

150° makes an angle of 30° with the positive direction of the x-axis and it is also in the second quadrant.

The cosine ratio is negative in the second quadrant.

Using the unit circle,

[tex] \cos(150 \degree) = - \cos(30 \degree) = - \frac{ \sqrt{3} }{2} [/tex]

Answer:

-√3/2

Step-by-step explanation:

Cos 150° can also be rewritten as shown;

Cos 150° = cos(90°+60°)

According to trigonometry identity

Cos(A+B) = cosAcosB - sinAsinB

Therefore;

Cos(90°+60°) = cos90cos60-sin90sin60

Cos(90°+60°) = 0(1/2) - 1(√3/2)

Cos(90°+60°) = 0-√3/2

Cos(90°+60°) = -√3/2

Cos 150° = -√3/2

PLEASE IM DESPERATE
BRAINLIEST+THANKS***

Answers

ANSWER

Option B

and

Option D.

EXPLANATION

The graph of the function has an amplitude of 2 and a period of

[tex] \frac{2\pi}{3} [/tex]

Choose all the equation that has an amplitude of 2 and a period of

[tex]\frac{2\pi}{3} [/tex]

These are:

[tex]y = 2 \sin3(x - \frac{2\pi}{3} ) [/tex]

and

[tex]y = 2 \sin(3x) [/tex]

The second and the last options are correct.

B and D are the correct answers

Other Questions
Brainlest help!!! Which ecosystem receives the least sunlight? A)Estuary B)Deep Ocean C)rain forest D)taiga Identify the force acting on the mass that causes the spring to extend What is the vertex of the function f(x) = x2 + 12x?0 (6-36)(6.0)(6.0)(6 -36)Mark this and retumSave and ExitSUR Describe how chemicals can be completely cycled abiotically using only geologic processes? PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard deviation of 4.5 inches.Enter the z-score of a trout with a length of 28.2 inches. Which of the following is equal to the rational expression when x does not equal -3 x^2-9/x+3 What country is famous for the dance the merengue Which of the following is used to quantify the rate of universal expansion or contraction? A) cepheid b) Hubbles constant c) cosmic microwave background radiation D) gravitational microlensing What is the quadratic function f(x)=x^2+6x-2 In vertex form?A:f(x)=(x-3)^2+7B:f(x)=(x+3)^2+7C:f(x)=(x-3)^2-11D:f(x)=(x+3)^2-11 Which statement in this excerpt from Fever Pitch by Nick Hornby shows that the author learned to have high expectations in life only after he went to a football (soccer) game?I'd been to public entertainments before, of course; I'd been to the cinema and the pantomime and to see my mother sing in the chorus of the White Horse Inn at the Town Hall. But that was different. The audiences I had hitherto been a part of had paid to have a good time and, though occasionally one might spot a fidgety child or a yawning adult, I hadn't ever noticed faces contorted by rage or despair or frustration. Entertainment as pain was an idea entirely new to me, and it seemed to be something I'd been waiting for.It might not be too fanciful to suggest that it was an idea which shaped my life. I have always been accused of taking the things I love - football, of course, but also books and records - much too seriously, and I do feel a kind of anger when I hear a bad record, or when someone is lukewarm about a book that means a lot to me. Perhaps it was these desperate, bitter men in the West Stand at Arsenal who taught me how to get angry in this way; and perhaps it is why I earn some of my living as a critic - maybe it's those voices l can hear when I write. A)I'd been to public entertainments before, of course; I'd been to the cinema and the pantomime and to see my mother sing in the chorus of the White Horse Inn at the Town Hall.B)The audiences I had hitherto been a part of had paid to have a good time and, though occasionally one might spot a fidgety child or a yawning adult, I hadn't ever noticed faces contorted by rage or despair or frustration.C)I have always been accused of taking the things I love - football, of course, but also books and records - much too seriously, and I do feel a kind of anger when I hear a bad record, or when someone is lukewarm about a book that means a lot to me.D)Perhaps it was these desperate, bitter men in the West Stand at Arsenal who taught me how to get angry in this way; and perhaps it is why I earn some of my living as a critic - maybe it's those voices l can hear when I write. pleeeeeeeease help will be marking brainiestWhat is the subject of this sentence? Thirty days from the time it left Dawson, the Salt Water Mail, with Buck and his mates at the fore, arrived at Skaguay. OPTIONS OVER HERE AND FOR A BETTER VIEW OF THE QUESTION LOOK AT THE PICTURE THANK YOU AND PLEASE HELP!!!Select the correct answer from each drop-down menu. QUESTIONFOR THIS EXPRESSION, A = ((( 15 OR 4 OR 7 ))) . B = (( 7 OR 4 OR 15 ))) , C = ((( 4 OR 15 OR 7))) Evaluate the determinant by using diaganals Why are secondary sources important to the study of history?a) These sources include bones and weapons b) These sources provide information written by other authors c) Museums usually contain the majority of these sources why does the threat of the atomic bomb not seem so bad at the beginning of the video Indicate the pathway of urine formation to urine output by placing each of the structures in the correct sequential order from left to right.- minor Calyx- Collecting Tubule- Nephron- Collecting Duct- Urethra- Major Calyx- Bladder- Papillary duct- Renal Pelvis- Ureters A geometric sequence is defined by the general term tn = 75(5n), where n N and n 1. What is the recursive formula of the sequence? i need help 10 points What nuclear remediation site had their computers wiped clean by notpetya? In regards to credit, what does capacity mean?A) Your overall credit line from multiple sourcesB) your perceived ability to repay your loans and debtC) something of value that you back a loan withD) interest payments that oh have to make each year on debt