Below, you are given the 2012 value of a product and the rate at which the value is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the year. (Let t = 12 represent 2012.) 2012 Value Rate $48,000 $2200 decrease per year

Answers

Answer 1

Answer:

[tex]y = 48000 - 2200x[/tex] --- equation

[tex]y = 37000[/tex] --- value at 5th year

Step-by-step explanation:

Given

[tex]Value = \$48000[/tex]

[tex]Rate = \$2200[/tex] decrease

Required

Determine the linear equation

Determine the value at the 5th year

Represent years with x.

If the rate in 1 year is 2200,

in x years, it'll be 2200x (decrement)

So, the value (y) at x years is.

[tex]y = 48000 - 2200x[/tex]

The value at the 5th year is when x = 5.

So, we have:

[tex]y = 48000 - 2200 * 5[/tex]

[tex]y = 48000 - 11000[/tex]

[tex]y = 37000[/tex]


Related Questions


The expression equals ___ ?

Answers

Bulbul na mabaho at puki 8

Unscramble the letters below to form a math word:
MEANLOMPCETY

Answers

Melanocyte, employment, complement

please help! i need help ASAP much appreciated

Answers

Answer:

Plz check in step by step

Step-by-step explanation: Hong Kong Island is the second-largest island of the territory, the largest being Lantau Island. Its area is 78.59 km2 (30.34 sq mi), including 6.98 km2 (2.69 sq mi) of land reclaimed since 1887 and some smaller scale ones since 1851.

what is the value of 3b2−b when b = 5?

Answers

Ok so it’s using distributive property

3(5)2-5
5*3=15
5*2=10

You add that 25
Minus the last b Which would make it 20
:)

PLEASE HELP ME!

Which algebraic rule describes the transformation of
parallelogram GHJK to G'H'J'K'?

ry-axis
rx-axis
R0,90°
R0,270°

Answers

Answer:

it right

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Complete the following equality. 4 days = hours

Answers

Day: 4

Hour: 96

Days Hours

1 Day 24 Hours

2 Days 48 Hours

3 Days 72 Hours

4 Days 96 Hours

Answer:

96 hours

Step-by-step explanation:

each day has 24 hours in one day. If you are trying to find the number of hours in a set number of days, you multiply the number of days by 24.

What is the y-intercept of the line y + 11 = –2(x + 1.5)?

Answers

Answer:

-14

Step-by-step explanation:

y + 11 = -2(x + 1.5)

y = -2(x + 1.5) - 11

y = -2x - 3 - 11

y = -2x - 14

Answer:

for the y-intercept, i got -14

Step-by-step explanation:

round 2.52 to the nearest tenth

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

2.50

Step-by-step explanation:

the tenths place is right after the ones place and before the hundreths place.

in 2.52, 5 is in the tenth's place. It's value is 5/10. The number in the hundreths place is 2, 2 is less than 5 so we round down. 2.52 becomes 2.50

An electrician charges a base fee of $70 plus $45 for each hour of work. The minimum the electrician charges is $160. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function.

Answers

Answer:

1) See below for table.

2) Domain: [tex]\{1, 2, 3, 4\}[/tex]

Range: [tex]\{160, 160, 205, 250\}[/tex]

Yes, this is a function.

Step-by-step explanation:

We know that the electrician charges a base fee of $70 plus $45 for each hour of work.

We also know that the minimum the electrician charges is $160.

Let's write an equation. Let x denote the number of hours worked and y denote the total price. There's also a base fee of $70. So, we can write the following equation:

[tex]y=45x+75[/tex]

Part 1)

Let's create our table for 1, 2, 3, and 4 hours. To do so, we simply need to substitute each value for x in our equation.

1 Hour:

We have:

[tex]y_1=45(1)+70[/tex]

Multiply and add:

[tex]y_1=45+70=\$115[/tex]

However, notice that the minimum the electrician charges is $160. Therefore, for one hour of work, the electrician will still charge $160. So:

[tex]y_1=\$160[/tex]

2 Hours:

Substitute 2 for x:

[tex]y_2=45(2)+70=90+70=\$160\\[/tex]

So:

[tex]y_2=\$160[/tex]

3 Hours:

Substitute 3 for x:

[tex]y_3=45(3)+70=135+70=\$205[/tex]

So:

[tex]y_3=\$205[/tex]

4 Hours:

Substitute 4 for x:

[tex]y_4=45(4)+70=180+70=\$250[/tex]

So:

[tex]y_4=\$ 250[/tex]

Therefore, for 1, 2, 3, and 4 hours of work, the prices will be $160, $160, $205, and $250, respectively.

We can create the following table (please scroll down to see the table. Also, y is measured in dollars).

Part 2)

The domain of a relation are the input values.

In this context, our input values are the amount of hours worked, and we calculated for 1, 2, 3, and 4 hours of work.

Therefore, our domain in this context is:

[tex]\{1, 2, 3, 4\}[/tex]

The range of a relation are the output values.

In this context, the output values are the price for x hours of work.

Therefore, our range in this context is:

[tex]\{160, 160, 205, 250\}[/tex]

This relation does represent a function. Remember that a function cannot have repeating input values. In other words, no one input can be equal to two or more different outputs. However, one output can be mapped to two or more different inputs.

For our table, none of the inputs are repeating. So, our relation is a function.

And we're done!

4 cachorros se terminan un paquete de croquetas en 6 días, si tuviéramos 3 cachorros ¿cuantos días duraría el paquete ?

Answers

Answer:

4 1/2 días.

Step-by-step explanation:

En la pregunta se nos dice que:

4 cachorros terminarán un paquete de croquetas en 6 días, si tuviéramos 3 cachorros, ¿cuántos días duraría el paquete?

4 cachorros = 6 días

3 cachorros = y días

Cruz multiplicar

4 cachorros × y = 3 cachorros × 6 días

y = 3 cachorros × 6 días / 4 cachorros

y = 18/4

y = 4 2/4

y = 4 1/2 días

Por lo tanto, el paquete de croquetas para 3 cachorros tendrá una duración de 4 1/2 días.

Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance? 28 minus 600 w less-than-or-equal-to 300 28 minus 600 w greater-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300

Answers

Answer:

600 minus 28 w less-than-or-equal-to 300

Step-by-step explanation:

Answer:

600 minus 28 w less-than-or-equal-to 300

Step-by-step explanation

Grandma Annie is 80 years old. This is 20 years less than 4 times the age of Ashley. How old is Ashley?

Answers

Answer:

Annie is 25.

Step-by-step explanation:

Work backwards. 80+20=100. 100÷4=25. Annie is 25. Let's check:

25x4=100

100-20=80

Write the sentence as an equation.
251 is the same as 139 less than the product of a and 233

Answers

Answer:

251 = 139 < 233a

I hope that this is correct and that it helps you

Please help ASAP!!!!!!
YOU ALSO GET ALOT OF POINTS!!!!
First to answer (correctly) will get brainliest!!!
A 2-column table with 4 rows. Column 1 is labeled x with entries 5, 3, negative 1, negative 2. Column 2 is labeled y with entries 6, 2, negative 6, negative 8. On a coordinate plane, a line goes through points (negative 2, 4) and (0, negative 4). Linear functions are expressed by data in a table and by a graph. Select all that apply. The slope is the same for both functions. The function expressed in the graph has a steeper slope than the function in the table. The y-intercept is the same for both functions. The table and the graph express an equivalent function.

Answers

Answer:

The function expressed in the graph has a steeper slope than the function in the table.

The y-intercept is the same for both functions.

Step-by-step explanation:

Answer:

B & C

Step-by-step explanation:

9. Which of the following equations represents a line with a positive slope and a
negative y intercept?
O y = 3.5x
O y = 7.5x – 2
O y = 1/4x +7
O y = -5x – 8

Answers

y= 7.5x-2

the slope is 7.5
the y-intercept is -2

Yvette uses 6 grams of tea leaves of make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea. How many grams of tea leaves did Yvette use to make tea last week?

Answers

Answer:

72 grams of tea leaves.

Step-by-step explanation:

288/24=12

12*6=72

What type(s) of symmetry does the figure have?

Answers

Answer:

both points and rotational only

Answer:

I would say point and rotational symmetry SUPER MEGA sorry if im wrong

1. Sоlvе fоr X: -243 -9(10 + х)

Answers

Answer:

x=-37

Step-by-step explanation:

-243-90-9x=0

or,-333=9x

x=-37

your ans plezz..... mark brainliest

4x -1 = -x+9 i need help its for a testtt

Answers

Answer:

x = 2

Step-by-step explanation:

4x - 1 = -x + 9

add x to both sides.

4x + x - 1 = 9

add 1 to both sides

4x + x = 9 + 1

5x = 10

x = 2

Answer:

[tex]\boxed {x = 2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]4x - 1 = -x + 9[/tex]

-Take [tex]x[/tex] and add it to [tex]4x[/tex]:

[tex]4x - 1 + x = -x + x + 9[/tex]

[tex]5x - 1 = 9[/tex]

-Add [tex]1[/tex] to both sides:

[tex]5x - 1 + 1 = 9 + 1[/tex]

[tex]5x = 10[/tex]

-Divide both sides by [tex]5[/tex]:

[tex]\frac{5x}{5} = \frac{10}{5}[/tex]

[tex]\boxed {x = 2}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]2[/tex].

Which set of numbers are integers but not whole numbers or natural numbers?
PLEASE HURRYYYYY!!!!!

Answers

Integers, whole numbers and natural numbers are numbers without decimal points.

The set of number that are integer but not whole or natural number is:

[tex]\{-2, -3, -4\}[/tex]

As stated above that three set of numbers do not contain decimal point;

However, the difference between them is that; a negative number without a decimal point is referred to as an integer

From the given set: only [tex]\{-2, -3, -4\}[/tex] fit into the description of an integer, because

It does not have a decimal pointAnd it is negative

Read more about set of numbers at:

https://brainly.com/question/4735895

k(n)=3n+2; Find k(0)

Answers

Answer:

2

Step-by-step explanation:

substitute 0 for n:

3(0)+2

=2

Answer:

2

Step-by-step explanation:

find the volume of the composite figure?

Answers

Answer:

V = 12 in^3

Step-by-step explanation:

A = 1×2×2

A = 4 in^3

B = 4×2×1

B = 8 in^3

V = 12 in^3

Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest, compounded monthly, or the same loan at 20 years for a higher monthly payment. How much more is the monthly payment for the 20-year loan than the monthly payment for the 30-year loan? O A. $56.47 O B. $155.66 O c. $99.19 OD. $90.05​

Answers

If Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest. The amount that the monthly payment for the 20-year loan is more than the monthly payment for the 30-year loan is: B. $155.66.

How to find the monthly payment?

For 30-year loan

P= principal = $165,000

r = Rate = 9.1% /12 = 0.00758

n = Number of months= 30years × 12 months = 360

So,

Monthly payment = 165,000×0.00758 × ( 1+0.00758)^360 / (1+0.00758)^360 -1

Monthly payment = 165,000×0.00758 × ( 1.00758)^360 / (1.00758)^360 -1

Monthly payment = 18,957.7574/14.15771760

Monthly payment = $1,339.04

For 20-year loan

P= principal = $165,000

r = Rate = 9.1% /12 = 0.00758

n = Number of months= 20years × 12 months = 240

So,

Monthly payment = 165,000×0.00758 × ( 1+0.00758)^240 / (1+0.00758)^240 -1

Monthly payment = 165,000×0.00758 × ( 1.00758)^240 / (1.00758)^240 -1

Monthly payment = 7,660.239666/5.12476186615

Monthly payment = $1,494.7

Difference = $1,339.04 - $1,494.7

Difference = $155.66

Therefore the correct option is B.

Learn more about monthly payment here:https://brainly.com/question/12530214

#SPJ1

If f(x)=x²+3x-2
find f(-2)

Answers

Answer:

f(- 2) = - 4

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = (- 2)² + 3(- 2) - 2 = 4 - 6 - 2 = - 4

Value of f(-2) is -4

Given that;

f(x) = x²+3x-2

Find;

Value of f(-2)

Computation:

Given that;

f(x) = x²+3x-2

By putting x = -2

f(-2) = (-2)² + 3(-2) - 2

f(-2) = 4 - 6 - 2

f(-2) = 4 - 8

f(-2) = -4

So, -4 is the correct answer to the given equation.

Learn more:

https://brainly.com/question/24415561?referrer=searchResults

Choose the answer that best represents the situation described below.
Sue wants to mail a glass vase. The bigger the box she uses, the more
packing materials she will need to make sure the vase will not break.
A. The size of the box is a function of the amount of packing
materials needed.
B. The amount of packing materials needed is a function of the size
of the box
C. The size of the box is a function of the size of the vase.

Answers

Answer:

b The amount of packing materials needed is a function of the size

of the box

Step-by-step explanation:

The amount of packing materials needed is a function of the size

of the box

9 = -7w + 12w – 6

Solve steps explaining pls

Answers

Answer:

Step-by-step explanation:

9 = - 7w + 12w - 6

by transposing,

9 + 6 = -7w + 12w

15 = 5w

w = 15 / 5

w = 3

Hope this helps

plz mark as brainliest!!!!!!

Answer:

[tex]w=3[/tex]

Step-by-step explanation:

[tex]9 = -7w + 12w -6[/tex]

Start by combining like terms ([tex]-7w+12w[/tex]):

[tex]9=5w-6[/tex]

Add [tex]6[/tex] to both sides of the equation:

[tex]15=5w[/tex]

Divide both sides of the equation by the coefficient of [tex]w[/tex], which is [tex]5[/tex]:

[tex]3=w[/tex]

_

Check your work by substituting the solved value of [tex]w[/tex] ([tex]3[/tex]), into the initial equation:

[tex]9 = -7(3) + 12(3) -6[/tex]

Multiply:

[tex]9=-21+36-6[/tex]

Combine like terms:

[tex]9=9[/tex]

Since both sides of the equation are equal, our answer is correct!

x - y = 4 and x + y = 9

Answers

Answer:

5-1=4 and 5+4=9

Step-by-step explanation:

[tex]\huge\red{ƛƝƧƜЄƦ}[/tex]

System of Linear Equations entered :

[1] x - y = 4

[2] x + y = 9

Graphic Representation of the Equations :

y + x = 4 y + x = 9

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = -x + 9

// Plug this in for variable y in equation [1]

[1] x - (-x +9) = 4

[1] 2x = 13

// Solve equation [1] for the variable x

[1] 2x = 13

[1] x = 13/2

// By now we know this much :

x = 13/2 y = -x+9

// Use the x value to solve for y

y = -(13/2)+9 = 5/2

Solution :

{x,y} = {13/2,5/2}

Hope it Helps ☺

Simplify the expression -3÷(-2/5)

Answers

Answer:

15/2 would be the simplified answer

Step-by-step explanation:

Answer:

15/2

(Decimal: 7.5)

Step-by-step explanation:

Which point in the graph represents the y-intercept?

Answers

(0,2) represents the y intercept on the graph cause at that point it crosses the y axis

If f(x) = 4x - 5 and g(x) = x +6, find g(f(-4)

Answers

Answer:

-15

Step-by-step explanation:

g(f(-4))=g(4(-4)-5)=g(-21)

g(-21)=-21+6=-15

Other Questions
Four statements dealing with the formation of a new government are given below.Speaker A: Each person must be able to voice his or her concerns on all issues that involve this new nation and bear the responsibility for the decisions made.Speaker B: The power of this new nation must rest in a strong, stable group that makes important decisions with the approval, but not participation, of all.Speaker C: There must be several governments within one nation to ensure adequate voice and responsibility to all.Speaker D: Individuals must not allow their freedoms to be swallowed by an all powerful government.Which statement best shows the desire for safeguards such as those in the Bill of Rights?Group of answer choicesStatement AStatement CStatement BStatement D Scientists are looking for signs that Mars could have been habitable in the past. Think of the things that a planet needs to be habitable. With these things in mind, what signs of habitability would you look for on Mars? Rebecca writes 1/5 of a page in 1/14 minute. How many pages can she write in one minute? (fraction) pages per minute. what is one characteristic of consumers?a. they create all usable food energyb. they make their own foodc. they may eat plants and animalsd. they obtain their energy from the sun When using a Drill Press the speed of the drill should beO a. slowed to be neat and safeb. made faster to finish quickerc. left alone, the speed does not matterd. adjusted based on the hardness of the material What is the Reciprocal of 10/3 Which of the following numbers are less than -0.625choose all that applyA: - 8/5B: -5/8C:-0.5 Amanda has four boards that are each 64 inches long. She needs to cut each board into multiple pieces that are each 12 4/5 inches long. How many pieces will she have after she cuts all four boards? How would you describe this piece? Does this piece have a subject of matter? Does it have content? Explain your answer. please help idk im stuck on this one. Which equation is equivalent to 2x+3y=12 Based on the excerpt from Nick Hornby's Fever Pitch, which sentence best describes the role of football in the author's relationship with his father?A. Football brought a sense of routine to the time the narrator and his father spent together.B. Football allowed the narrator to spend quality time with his father and his little sister.C. Football was the only interest that the narrator and his father shared.D. Football allowed the narrator and his father to reconnect after his parents' divorce.E. Football provided a way for the narrator's father to come between the narrator and his mother. 16.30 rounded to the nearest hundredth of a gram The study of a drugs harmful effects is called Point of View PracticeLet's practice identifying points of view. For each of the following writing samples,decide whether the point of view is first person, second person, objective third person,limited third person, or omniscient third person.1. You're walking along the street, wondering if you have enough time to stop for an icecream cone on the way to your next appointment. It is hot, and you are dreading yourmeeting, sd you decide that an ice cream cone might be just the thing to give you aboost. Temperature (C)Heating Curve for Water160140120100806040200-201 2 3 4 5 6 7 8 9 10Time (min)At what temperature does the solid start melting?O -20C0CO 20CO 80 c If 3a-4=26 what is the value of 2/5a? solve all 4 please. A village located in central Africa does not have a sewer system or a community well. Homes do not have running water; instead, villagers must get their water from a nearby stream. Which of the following statements best describes this villages water situation?A.This village has no water scarcity.B.This village suffers from economic water scarcity.C.This village suffers from physical water scarcity.D.This village suffers from both physical and economic water scarcity. What makes the wind move in circles HELP! I CANT GET ANY WRONG