Susan owes $15,000 in student loans. She pays $150 toward the debt every month. Represent the total amount that she owes as a function of months (x) after each payment?

Answers

Answer 1

Answer:

f(x) = 15000 - 150x

Step-by-step explanation:

Given that:

Initial Amount owed = $15000

Amount payed towards debt per month = $150

Total amount owed as a function of month(x) after each payment :

F(x) = Initial amount owed - (amount paid per month * number of month)

Let number of month = x

f(x) = 15000 - 150x

Hence, the function ;

f(x) = 15000 - 150x represents the total amount owed after each payment.


Related Questions

5 stars and a thank you

Answers

Answer:

ok

Step-by-step explanation:

PLEASE HELP LINEAR EQUATIONS!!
3(2x-5)=-15

Answers

Answer:

x=0

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

3(2x−5)=−15

Step 1: Simplify both sides of the equation.

3(2x−5)=−15

(3)(2x)+(3)(−5)=−15(Distribute)

6x+−15=−15

6x−15=−15

Step 2: Add 15 to both sides.

6x−15+15=−15+15

6x=0

Step 3: Divide both sides by 6.

6x/6 = 0/6

x=0

Hope this helps :)

Answer:

2x-5= -3x times(x) 3 is -9

Step-by-step explanation:

PEMDAS

Which fraction is equal to the decimal 0.137?

Answers

Answer:

137/1000

Step-by-step explanation:

Answer:

137/1000 also 13.7 percent

Step-by-step explanation:

Find the slope between (9,-2) and (-1,5)

Answers

Answer:

7/-10

Step-by-step explanation:

subtract

5-(-2) = 7

-1-9 = -10

Answer:

The slope is -0.7 or -7/10

Step-by-step explanation:

For 10 x values decreased, the y values go up 7 values. So the slope is -7/10 or -0.7

I hope that this helps! :)

Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60÷5=12. Does Noah’s method always work? Explain why or why not.

Answers

Answer:

yes

Step-by-step explanation:

because if you divide what you said its will have a sum

. Consider the following standards.
MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.

Answers

Part A:

A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.

A composite function is created by plugging one function into another.

Part B:

The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.

Part C:

Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.

oof that took a while lol

A florist charges $25 for a vase plus $4.50 for each flower. The total charge for the vase and flowers is given by the function f(x) = 4.50x + 25. How will the graph change if the vase’s cost is raised to $35? if the charge per flower is lowered to $3.00?

Answers

Part 1
All that’s being affected here is the b value in y=mx+b, so your line will just move up to have a y-intercept at (0,35) the equation will be y=4.5x+35

Part 2
Here the m value is being changed so your line will just flatten out a bit and the new equation will be y=3x+25

Hope this helps!

a) The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

b)The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

We have given that the function

[tex]f(x) = 4.50x + 25[/tex]

A florist charges $25

Now we have given condition the cost is raised to 35$

We use we use the slope intercept form

What is the slope intercept form?

[tex]y=mx+C[/tex]

y is function f(x) C=vase cost, and m= charge per flower

Therefore we get,

[tex]y=f(x),m=4.50 and c=25[/tex]

we have given condition C=35$

So  the  line will just move up to have a y-intercept at (0,35) the equation will be,

[tex]y=4.5x+35[/tex]

Therefore,

The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

We have given that the charge per flower is lowered to 3$

So the slope

[tex]m=3[/tex]

Here the m value is being changed so your line will just flatten out a bit and the new equation will be

[tex]y=3x+25[/tex]

The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

To learn more about the slope intercept form visit:

https://brainly.com/question/1884491

The indoor climbing gym is a popular field trip destination. This year the senior class at High
School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 5 buses with 329 students. High School B rented and filled 11 vans and 5 buses with 281 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

Answers

Answer:

Step-by-step explanation:

14 x + 5y = 329

11x + 5y = 281(vans is x and busses are y)

cancel out 'y' by making the '5y' in 11x + 5y = 281 negative

-1 (11x + 5y = 281) =

-11x -5y = -281

insert second equation

-11x -5y = -281

14x + 5y = 320

3x = 48

x = 16

substitute vans in one equation

11(16) + 5y = 281

5y = 105

y = 21

WILL GIVE U BRAINLIEST ... how many solutions does this parabola have ??????

Answers

Answer:

No solutions

Step-by-step explanation:

This parabola does not touch the x-axis, therefore, there are no solutions.

Determine whether each point could represent an x-intercept, y-intercept, both, or neither.
A. (0,5)
B. (0,0)
C.(-7,0)
D. (3,-4)
E. (19,0)

Answers

The answer might be A.

Answer:

A. y-intercept

B. Both

C. x-intercept

D.Neither

E. x-intercept.

Step-by-step explanation:

A y-intercept is recognized when there is a 0 at the x coordinate. A x-intercept is recognized when there is a 0 at the y-coordinate. The origin  (0,0) is considered the x and y-intercept. In a neither situation, the coordinates will have another number besides zero.

9. Suppose GH = JK. HI = KI and QI = ZL. How can you prove that GHI is congruent to JKL ?
You can use SAS to prove the triangles are congruent.
You can use SSS to prove the triangles are congruent.
You can use SSA to prove the triangles are congruent.
There is not enough information to prove that the triangles are congruent.​

Answers

Answer:

C. SSS

Step-by-step explanation:

Since we are not given any angle measure and three side measure, we can prove these triangles congruent by SSS.

To prove triangle GHI and JKL are congruent, rule SSS is used.

What are congruent triangles?

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Different rules of congruency are as follows.

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

RHS (Right angle-Hypotenuse-Side)

Given

Triangles GHI and JKL

GH = JK

HI = KI

QI = ZL

All three sides are equal in both triangles.

By side-side-side theorem,

ΔGHI ≅ΔJKL

Hence, by SSS theorem, it is proved the triangles are congruent.

Learn more about congruent angles here:

https://brainly.com/question/22062407

#SPJ7

The Bigtown football team outscored its opponents 5:2 last season.
If their opponents scored 38 points, how many points did Bigtown
score?

Answers

Step-by-step explanation:

5:2 add to find total ratios 7

opponents=2/7=38

bigtown=5/7=95

Answer: The big town team scored 95 points.

Step-by-step explanation: Given that the big town football  team outscored its opponents 5:2 last season and their opponents scored 38 points.

We are to find the points scored by big town team.

Let 5x and 2x represents the points scored by big town team and their opponents.

Then, according to the given information, we have

2r = 38

r = 38/2

r = 19

Therefore, the points scored by big town team is given by

5 X 19 = 95.

Thus, the big town team scored 95 points.

what is 10m-2?
Variables are really hard for me so if anyone can help me with this problem that would be really great

Answers

Answer:

tytyty

Step-by-step explanation:

HELP ME PLZ <<<<<<<<<<<<<<<<<<<<

Answers

Answer:

Yes, Alternate Exterior Angles

Step-by-step explanation:

A testicle cuff is a ring-shaped device around the scrotum between the body and the testicles which when closed does not allow the testicles to slide through it. A common type has two connected cuffs, one around the scrotum and the other around the base of the penis. They are just one of many devices to restrain the male genitalia. A standard padlock, which cannot be removed without its key, may also be locked around the scrotum.

Need help fast!!!!!!

Answers

Answer:

45 i think

Step-by-step explanation:

I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it

Answers

Answer:

OOF

Step-by-step explanation:

Answer: i don't actually know, sorry but i need to get my points so i'm typing this.

Step-by-step explanation: none

(sint-cost)²=1-sin(2t)

Answers

i dont know the way you wan me to solve this but i got 1−2cos(t)sin(t)=1−2sin(t)cos(t)

Which inequalities have the solution set graphed on the
number line? Check all that apply.
O x2 -1.5
Oxs -1.5
D -1.5 SX
D -1.5 2 x
Oxs -2.5
O x 25
25 2x

Answers

Answer:

B,C

Step-by-step explanation:

Rewrite the expression 16 + 32 as the product of the greatest common factor and the sum of the remaining numbers. Group of answer choices 2(8 + 16) 8(2 + 4) 4(4 + 8) 16(1 + 2)

please help and the question is in the docs

Answers

Answer:

sfuc,k u

Step-by-step explanation:

0x + 8 = 5x - 3 What is X?

Answers

Answer:

x= 11/5 OR 2.2

Step-by-step explanation:

Answer: x= 2.2

Step-by-step explanation:

0x+8=5x-3

    +3     +3

0x+11=5x

5    5   5

x=2.2

The slope of the graph shown below is

Answers

Answer:

1/ 2.5

Step-by-step explanation:

one way to do this is rise over run, so from one red dot to the other it went up one and over 2.5. the other way to do this is by using the (y2-y1)/(x2-x1) this will give you the same answer :)

It’s -2/3, you rise or go down 2 spaces then run 3 paces to the right the line is going negative.

HELP ME PLEASE ASAP?!
If the pattern below follows the rule "Starting with one, every consecutive line
has a number that is one more than twice the previous line," how many
marbles must be in the sixth line?
A. 63
B. 31
C. 13
D. Need more information

Answers

Answer:

It should be A

Step-by-step explanation:

The answer to this question is B.

use the slope-intercept form to graph y=3/5x-3

Answers

Answer:

Step-by-step explanation:

Which are equivalent equations? Select two correct answers.

d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1

Answers

Answer:

B and D if not sorry

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

How many vertices does this shape have?



Answers

Answer:

6 i think

Step-by-step explanation:

vertices are the points and there are 6 points

Is y=3x-8 proportional

Answers

Step-by-step explanation:

YES! HOP THIS HELPS

I think sooooooooooo

what is
x/6+21=28
I need to know quick please help me

Answers

Answer:

x=42

Step-by-step explanation:

x/6+21=28

28-21=x/6

7=x/6

x=7*6

x=42

Answer:

42

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Write the vocabulary word for this definition:

The number of units or spaces away a number is from zero

Answers

Answer:

i am not sure but may be ...absolute value

Is -51.16 a integer?

Answers

Answer:

No

Step-by-step explanation:

An integer is a number that is whole. For example, 1.12 is not an integer, but 14 is.

please help me thanks .

Answers

Answer:

3 and 3/4

Step-by-step explanation:

Answer:

121.5 :) hope this helped

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