The cost of renting an apartment can be modeled by the function C(m)=900m+1400, where C(m) is the cost in dollars for m months of living in the apartment. State the meaning of the slope and y-intercept of this function with respect to the costs associated with renting the apartment.

Answers

Answer 1

Answer:

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.

Step-by-step explanation:

This function is linear, which means that it increases at a steady rate and has the following form:

[tex]y(x) = a*x + b[/tex]

Where "a" is the slope or the rate at which "y" changes for every change in "x". While "b" is the number at which the function crosses the "y" axis.

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.


Related Questions

you don't have to answer number 15. but pls answer the rest!

is 3kg equal to less than or greater than 3,000

there are more in the picture pls help ASP

BEST ANSWER GETS BRAINLESST AND FOLLOW ASP HURRY!!​

Answers

Answer:

13) >

14)=

15)>

16)=

17)>

18)<

Step-by-step explanation:

The diagram shows a circle centre O work out the size of angle X work out the size of angle y

Answers

Answer:

x = 116° , y = 20°

Step-by-step explanation:

The angles are x = 116° & y = 20°

what is the circle theorem?

When two angles are subtended by the same arc, the angle at the centre of a circle is twice the angle at the circumference i.e ∠O=2∠A

let the Points on the circumference be A,B,C then we have two traingles namely ΔABC & ΔOBC.

Given here ∠A=58°

therefore, by the circle theorem we get ∠O=116°

Again in  ΔOBC it is a isosceles triangle with its two sides equal to the radius of the circle, so ∠OBC = ∠OCB

∠OCB +∠OBC+∠BOC=180°

2 ∠OBC=180°-116°

2 ∠OBC=64°

∠OBC=32°

Again, in  ΔABC ∠C = 32° + 38° = 70°  & ∠B= y +32°

therefore, y + 32° + 70° + 58° = 180°

                                             y= 20°

Hence, the angles are  x = 116° & y = 20°

Learn more about the circle theorem:

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QUICK!!!!! Which question is best modeled with a division expression?
A: How much does it cost to buy 3 and one-half pounds of apples at $2 per pound?
B: How many apples are needed for 2 pies if the recipe uses 3 and one-half apples per pie?
C: How many more apples are needed if a recipe uses 3 and one-half apples and you only have 2 apples?
D: How many apples are in each pie if a total of 3 and one-half apples were used to bake 2 pies?

Answers

Answer:

D

Step-by-step explanation:

[tex]\frac{2}{3.5}[/tex]

Which is about .57

what’s 38,000 * 16 please help me

Answers

Answer:

608,000

Step-by-step explanation:

The answer for that is 608,000

I’m confused :( I will mark as Brainliest and give you points

Answers

Answer:

123.5 square inches

Step-by-step explanation:

Given: To find the area of a rectangle, you have to multiply base times height.

To find the area of a triangle, you have to do base times height devided by 2.

Finding the area: Let's break up this shape into polygons. At the bottom there is a rectangle. We know that to find the area of the rectangle you have to do base times height. 13in•7in will give you 91in square for the rectangle.

Now for the triangle. If you can see, if you break the triangle in half, there are 2 right triangles. Let's look at the right one for now. Since we know that to find the area of a triangle you have to do base times height divided by 2,  you do 5in•6.5in=32.5in. 32.5in divided by 2 is 16.25in square which is the area of one triangle. You might be wondering why i did 5•6.5, and that's because at the bottom of the rectangle you can see it's 13in, and 13in÷2=6.5in.

We already found the area of the rectangle and one triangle. The other triangle is equal to it so we can just do 16.25+16.25=32.5in square for both of the triangles.

Now we add it all up: 32.5+91=123.5 square inches

Lavern just turned 40 years old, so her credit score rose from 555 to 623,
According to the following table for a $150,000 mortgage, how much less per
year would Lavern have to pay on a $150,000 mortgage with the new credit
score?
FICO
Interest Monthly
Score
Rate Payment
720-850
5.59% $860
700-719
5.71% $872
675-699
6.25% $924
620-674
$1039
560-619
8.53% $1157
500-559
9.29% $1238
7.40%
A. $199
ООО
B. $1238
C. $1039
O D. $2388

Answers

Answer:

D

Step-by-step explanation:

($1238-$1039)×12=$2388

I need help on this.​

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

hopefully this helps

HELP PLEASE!!
Given: Isosceles triangle ABC with vertex angle A, equal sides AB and AC, and an angle bisector, BD.

side = 1
angle = 36

BC has a length of 1. To the nearest tenth of a unit, find the lengths of the missing sides.

BD = __ units

AD = __ units

AB = __ units

AC = __ units


Answers

Answer:

BD = 1 unit

AD = 1 unit

AB = 1.6 units

AC = 1.6 units

Step-by-step explanation:

In the picture attached, the triangle ABC is shown.

Given that triangle ABC is isosceles, then ∠B = ∠C

∠A + ∠B + ∠C = 180°

36° + 2∠B = 180°

∠B = (180° - 36°)/2

∠B = ∠C  = 72°

From Law of Sines:

sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB

(Remember that BC is 1 unit long)

AB = AC = sin(72°)/sin(36°) = 1.6

In triangle ABD, ∠B = 72°/2 = 36°, then:

∠A + ∠B + ∠D = 180°

36° + 36° + ∠D = 180°

∠D =  180° - 36° - 36° = 108°

From Law of Sines:

sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB

(now ∠A = ∠B)

BD = AD = sin(∠A)*AB/sin(∠D)

BD = AD = sin(36°)*1.6/sin(108°) = 1

Using the following image, solve for x

Answers

Step-by-step explanation:

Vertical angles are always equal

4+6x= 70°

6x =70-4 = 66°

x= 11°

We know the angles have a vertical angle and we know that vertices angle are Intercept lines.

Let's set up the equation.

[tex]4+6x=70[/tex]

We will subtract 4 from both sides and get

[tex]6x=66[/tex]

Divide by 6 on both sides

[tex]x=11[/tex]

\frac{h^{2}-1 }{h+3} when h=5

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{h^{2}-1 }{h+3}[/tex]=

[tex]\frac{5^{2}-1 }{5+3}[/tex]=

[tex]\frac{25-1}{8}[/tex]=

[tex]\frac{24}{8}[/tex]=

3

Which is the constant term in the equation given in standard from 5x+3y=15

Answers

Answer:

15

Step-by-step explanation:

The constant is the term without the variable

5x+3y=15

15 is the constant

Make x the subject:

y = 6x-7 / 3x-8

Answers

Answer:

I. x=y-7

6

Step-by-step explanation:

y=6x-7

6x-7=y

6x=y-7

6x=y-7

6. 6

x=y-7

6

Answer:

x = [tex]\frac{8y-7}{3y-6}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{6x-7}{3x-8}[/tex] ( multiply both sides by 3x - 8 )

y(3x - 8) = 6x - 7 ← distribute left side

3xy - 8y = 6x - 7 ( subtract 6x from both sides )

3xy - 6x - 8y = - 7 ( add 8y to both sides )

3xy - 6x = 8y - 7 ← factor out x from each term on the left

x(3y - 6) = 8y - 7 ← divide both sides by (3y - 6)

x = [tex]\frac{8y-7}{3y-6}[/tex]

What are the missing amounts in this statement.

20% of $30= 40% of $____

Pls help me

Answers

Answer:

Step-by-step explanation:

20% of $30 = 40% of x

0.20 * 30 = 0.40 * x

[tex]\frac{0.2}{0.4}*30=x\\[/tex]

x = 15

What is the value of 2x3+12-13

Answers

Answer:

5

Step-by-step explanation:

According to PEMDAS the answer is five.

2x3+12-13

6+12-13

18-13

5

What is the value of x in the equation -2.4x = 8.4?
-20.16
-3.5
3.5
20.16

Answers

Answer:

Step-by-step explanation:

x = 8.4/-2.4 = -84/24 = -3.5

The value of x in the equation is -3.5.

What is the value of x?

Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷.

In order to determine the value of x, divide 8.4 by -2.4

x = 8.4 / -3.5 = -3.5

To learn more about division, please check: https://brainly.com/question/13281206

If 15 x a = 90, then a=

Answers

Answer:

A = 6

Step-by-step explanation:

to find a, divide 90 by 15

90 / 15 = 6

the answer is 6, divide 90 by 15 to get a

A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h = -16t^2 + 120t + 10. How long does it take to reach maximum height? What is the boulder's maximum height? What is the boulder's maximum height? Round to the nearest hundredth, if necessary.

Answers

Why is understanding mitts important?( Select the best answer)

1.It helps us understand how organisms repair.

2. It helps us understand how organisms grow.

3. It is important for cancer research.

4. All options correct.

Answer:

See below in bold.

Step-by-step explanation:

h = -16t^2 + 120t + 10

To find the  height and time for maximum we convert to vertex form:

h = -16(t^2 - 7.5t) + 10

h = -16 [(t - 3.75)^2 - 14.0625] + 10

h = -16(t - 3.75)^2 + 225 + 10

h = -16(t - 3.75)^2 + 235

So the time to reach maximum height is 3.75 seconds and the maximum height = 235 ft.

T&L - Math 7 - Volume 7.4 -19-20

Directions: Type your answer in the box below

A cube with an edge length of 8 must be filled completely. How many cubic centimeters will

be needed? Type your answer in the box

The diameter and height of a cylindrical container are shown.

Answers

Answer: You would need 512 cubic centimetres

Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.

If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.

The volume of a cube is given as follows;

V = L x W x H (and the answer is expressed as V³)

Since the length , width and height all measure 8 cm, the volume can simply be expressed as

V = L x L x L

V = L³

V = 8³

V = 512 cm³

Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.

Please help with this

Answers

Answer:

C is correct

Step-by-step explanation:

1 and 2 add up to 90,

so does 3 and 4

how do you solve the height?​

Answers

Answer:

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.

How much would 1 case of each fruit cost together? Grid in tori answer as dollars.cents

Answers

Answer:

35.00

Step-by-step explanation:

4a+8p=220

2a+5p=130

if we want to add them we must multiply the 2nd equation by -2

4a+8=220

-4a-10p=-260

0=20

after plugging 20 in, the apples should cost 15

15+20=35

Please help me

Two exponential functions, fand g, are shown in the graph where g is a transformation of f.

Which of the rules given below shows the transformation of f?
A. g(x) = f(x-2)
B. g(x) = f(x) + 2
C. g(x) = f(x + 2)
D. g(x) = f(x) - 2

Answers

B.G(x)=f(x)+2 is your a good night to

Please help this is due at midnight!!!!!!!!!
Describe how to optimize a function given a set of constraints.

Answers

Here’s the hard part. We always want the problem structured in a particular way. Here, we are choosing to maximize f (x, y) by choice of x and y .
The function g(x,y) represents a restriction or series of restrictions on our possible actions.
The setup for this problem is written as l(x,y)= f(x,y)+λg(x,y)
For example, a common economic problem is the consumer choice decision. Households are selecting consumption of various goods. However, consumers are not allowed to spend more than their income (otherwise they would buy infinite amounts of everything!!). Let’s set up the consumer’s problem:

Suppose that consumers are choosing between Apples (A) and Bananas (B). We have a utility function that describes levels of utility for every combination of Apples and Bananas.
11
A 2 B 2 = Well being from consuming (A) Apples and (B) Bananas.
Next we need a set pf prices. Suppose that Apples cost $4 apiece and Bananas cost $2 apiece. Further, assume that this consumer has $120 available to spend. They the income constraint is
$2B+$4A≤$120
However, they problem requires that the constraint be in the form g(x, y)≥ 0. In
the above expression, subtract $2B and $4A from both sides. Now we have 0≤$120−$2B−$4A
g(A, B) Now, we can write out the lagrangian
11
l(A,B)= A2 B2 +λ(120−2B−4A)
f (A, B) g(A, B)
Step II: Take the partial derivative with respect to each variable
We have a function of two variables that we wish to maximize. Therefore, there will be two first order conditions (two partial derivatives that are set equal to zero).
In this case, our function is
11
l(A,B)= A2 B2 +λ(120−2B−4A)
Take the derivative with respect to A (treating B as a constant) and then take the derivative with respect to B (treating A as a constant).

The setup for this problem is written as l(x,y)= f(x,y)+λg(x,y)


What is a function?

For example, a common economic problem is the consumer choice decision. Households are selecting consumption of various goods. However, consumers are not allowed to spend more than their income (otherwise they would buy infinite amounts of everything!!). Let’s set up the consumer’s problem:

Suppose that consumers are choosing between Apples (A) and Bananas (B). We have a utility function that describes levels of utility for every combination of Apples and Bananas.

11

A 2 B 2 = Well being from consuming (A) Apples and (B) Bananas.

Next, we need a set of prices. Suppose that Apples cost $4 apiece and Bananas cost $2 apiece. Further, assume that this consumer has $120 available to spend. The income constraint is

$2B+$4A≤$120

However, the problem requires that the constraint is in the form g(x, y)≥ 0. In

the above expression, subtract $2B and $4A from both sides. Now we have 0≤$120−$2B−$4A

g(A, B) Now, we can write out the lagrangian

11

l(A,B)= A2 B2 +λ(120−2B−4A)

f (A, B) g(A, B)

Step II: Take the partial derivative with respect to each variable We have a function of two variables that we wish to maximize.

Therefore, there will be two first-order conditions (two partial derivatives that are set equal to zero).

To know more about function follow

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Which subsets of real numbers does 2 1/3 belong to?

Answers

Answer:

rational numbers set

Step-by-step explanation:

rational numbers are fractions and 2 1/3 = 7/3

Rational numbers set

Bob and Sally's mortgage payment increases to $1632.00. Their roof starts to leak and they need to replace it. They budget $500 per month (replace the old student loan charge with roof expense).

Answers

Answer:

List of expenses is attached below.

Total Income = $160 + $6245 = $6405

1) Do Bob and Sally have a surplus or deficit?

As mortgage payment has increased, we replace $1580 with $1632 in the table

Replace student loans with roof expense, we replace $544 with $500 in the table.

Find Total Expenses by adding all the values from the table.

Total Expenses = $6660.17

Total Income  =$6405

They have a deficit

2) By how much?

Deficit = $6660.17 - $6405 = $255.17

Deficit = $255.17

3) They decide to stop putting money in savings. How much their balance be?

Savings = 10% of income = 10% OF $6405

Savings = (10/100)· $6405 = $640.5

New total expenses = $6660.17 - $640.5

New total expenses = $6019.67

Balance = Total income - New total expenses = $6405 - $6019.67

Balance = $295.33

4) Do you agree with them removing the savings to create surplus?

Yes, they had to remove the savings to fulfill their expenditures. Otherwise, they would have been spending more than their income, which couldn't last very long

If f(1) = 7 and f(n) = 5(n-1) + 2, then f(4) =

Answers

Answer:

f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = ?

f4 = 5(?) + 2 = ____

914

hopefully this makes sense

b) A fruit seller bought some mangoes for Rs 500. He sold them at 10% loss. If he wants to make a profit of 12.5% without increasing the selling price, by how much should the cost price of the mangoes be reduced?​

Answers

Answer:

New CP = Rs 387.5

Step-by-step explanation:

Cost Price = Rs. 500

Loss %age = 10% of 500

So, Loss = Rs 50

Finding the selling price:

Selling Price = CP - Loss

SP = 500 - 50

SP = Rs 450

Now, The fruit seller wants to gain a profit of 12.5% without changing the selling Price:

Firstly, Let's talk about the Profit :

Profit %age = 12.5% of 500

Profit = 12.5 * 5

Profit = Rs 62.5

He wants to gain a profit of Rs 62.5

So, The cost Price

The cost price would be reduced by Rs 62.5

New CP = 450 - 62.5

New CP = Rs 387.5

The area of a triangle is 30 square inches. The base of the triangle is 10
in. What is the height of the triangle? *
I will mark as Brainliest and give extra points help

Answers

Answer:

6  inches

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

30 = 1/2 (10) h

30 = 5h

Divide each side by 5

30/5 = 5h/5

6 = h

Answer:

Step-by-step explanation:

we know area of a triangle = 1/2 * base * height

1/2*10* height = 30

5* height =30

height = 30/5 = 6inches

hope it helps

Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a

Answers

ANSWER : it is a Rhombus!

Answer:

Rhombus

I hope I helped!!!

Please make me brainliest

im really tired and my brain isnt working right please help i need help with part b

Answers

Answer:

hello! the answer is 2.5 hours :)

Answer:

the answer is 2.5 hours

Step-by-step explanation:

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