Modern car company has come out with a new car model, Market analysts predict that 4,900 cars will be sold in the first month and that sales will drop by 100 cars per month after that during the first year. Write out the first five terms of the sequence, and find the number of sold cars predicted for the twelfth month. Find the total predicted number of sold cars for the first year. a. The first five terms of the sequence are (Use a comma to separate answers.)

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Number of cars sold in first month = 4900

Sales drop by 100 cars per month for the first year:

A(x) = a - 100(x - 1)

No = sale In first month = 4900

First five months

Ist month :

a = 4900

2nd :

4900 - 100 = 4800

3rd :

4800 - 100 = 4700

4th:

4700 - 100 = 4600

5th:

4600 - 100 = 4500

First five terms : (4900,4800,4700,4600, 4500)

Predicted sales for 12th month :

A(12) = 4900 - 100(12 - 1)

A(12) = 4900 - 1100

= 3800

Total sales for the first year:

4900+4800+4700+4600+4500+4400+4300+4200+4100+4000+3900+3800) =

= 52,200


Related Questions

What is the value of 10 - 2(
4-5)?

Answers

Answer:

12

Step-by-step explanation:

you would need to use BODMAS to work this out

as a result you would work out the value in the brackets which would equal to -1 so the question would look like this: 10-2(-1)

next you would do the multiplication due to the fact it comes next in the order

so you would end up with 10+2 which would equal to 12

Hope this helps

Answer:

12

Step-by-step explanation:

First we do 4-5 because of Order of Operations. So we get -1

Then we do multiplication because of Order of Operations and we get -2*-1=2

So now we do 10+2 and we get 12.

You may be asking why I did -2*-1.

It honestly doesn't matter.

Let's say I did 2*-1. We get -2.

Then we do 10-(-2) and If you subtract a negative, it's just adding basically. So we can put it as 10+2 and we get 12.

-5(5-3v)=-115
Helpp me please

Answers

we start by opening the brackets so it will be -25 plus 15 v is equals to 115. negative times a negative is a positive so -5 times -3 we we have gotten positive 15v there I hope you understood so our new equation is -25 + 15v is equals to 115 collect the like terms 15v is equals to 115 + 25 15 v is equals to 140 divide both sides by 15 so v is equals to 9 and 1/3

find the root of the equation:5-6 of=-1​

Answers

Answer: The answer is 5 1/2

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST!

Is y=x+3.75 a proportional relationship? Yes or no

Answers

Answer:

NO

Step-by-step explanation:

if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.

Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.

That means that the relationship is NOT proportional.

The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.

Answer:

No

Step-by-step explanation:

because if we put x=1 in equation y=x+3.75y=(1)+3.75y/x=4.75if that is proportional then y/x will be same in each scenarioand if we put x=2 then y=(2)+3.75y=5.27y/x=2.875so it is not equal, it mean that relation is not proportional

The sun is about 8 light minutes away. What is the distance
in meters?
Given: Distance to sun: 8 light minutes
speed of light: 3x10^8 m/s
(1 minute=60 seconds)
Unknown: Distance to sun in meters (in scientific notation)

Answers

(3x10^8) x 8 = 2400000000

OR 2.4x10^9
Correct answer is = 8 x 60 x 3 x 10^8 = 1.44 x 10^11 m

Need help with this. Plz! Thank you

Answers

yes yes yes yes yes yes yes yes

5x2 - 50 + x, when x =4

Answers

Answer:

44

Step-by-step explanation:

5*2=10-50=40+4=44

Janice bought 5.5 m of fabric.

About how many yards of fabric did she buy?

(1 m ≈ 1.09 yd)

Enter your answer in the box. Do not round your answer.

Answers

5.995

Hope this helps!

5 × -92 =
Just a quick response on how to solve this, thanks a ton!

Answers

5 × -92 =

Just a quick response on how to solve this, thanks a ton!

Answer:

-460

Answer: -460

Step-by-step explanation:

There are 2 squares and 4 triangles. What is the simplest ratio of squares to total shapes?

Answers

Answer:

2:6

Simplest= 1:3

Wha is the property fr each one pls aswer Asap

Answers

9514 1404 393

Answer:

  A. Given; B. multiplication; C. distributive; D. collect terms; E. addition; F. division

Step-by-step explanation:

You are expected to compare each line to the previous line and identify the changes. Apart from combining like terms (collecting terms), there are generally only three properties of interest: distributive property, addition property, multiplication property. Of course, subtraction and division are just addition and multiplication using the appropriate (additive, multiplicative) inverse.

The distributive property involves adding or deleting parentheses, so it is easy to identify.

If terms disappear, it can be due to terms being combined, or due to addition/subtraction. If coefficients disappear, it will generally be due to multiplication/division.

__

-2.5(-2-3x)+2.5(-4x-1) = -2x -4x . . . . Given

-5(-2 -3x) +5(-4x -1) = -4x -8x . . . . multiplication by 2 (fractions eliminated)

10 +15x -20x -5 = -4x -8x . . . . distributive property (eliminate parentheses)

-5x +5 = -12x . . . . collect terms

5 = -7x . . . . addition of 5x (-5x term disappeared)

-5/7 = x . . . . division by -7 (x coefficient of -7 disappeared)

 

Which equation represents f(x)? f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1

Answers

Answer:

A.

Step-by-step explanation:

The equation that represents function f(x) is (a) [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

The original function is given as:

[tex]y = \sqrt[3]{x}[/tex]

First, the function is translated 6 units left.

The rule of this translation is:

[tex](x,y) \to (x +6,y)[/tex]

So, we have:

[tex]y = \sqrt[3]{x + 6}[/tex]

Next, the function is translated 1 unit up.

The rule of this translation is:

[tex](x,y) \to (x,y+1)[/tex]

So, we have:

[tex]y = \sqrt[3]{x + 6} + 1[/tex]

Express y as a function of x

[tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

Hence, the equation that represents f(x) is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

Read more about translation at:

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Please help me!!! Thank you so much

Answers

Step-by-step explanation:

[tex]\frac{(x + 2)}{4} = - 2 \\[/tex]

multiply everything by 4

[tex]x + 2= - 2 \times 4 \\ x + 2 = - 8[/tex]

subtract 2

[tex]x = - 8 - 2 \\ x = - 10[/tex]

the answer is -10


2.
Jack and Jill went to Taco Bell. Jack bought three tacos and two burritos
and paid $5.40. Jill bought two tacos and one burrito and paid $3.10.
What is the individual cost of a taco? How much does a burrito cost?
(How do I write my two equations for this?? Pls and thank you!)

Answers

answer:

x = 0.80

y = 1.50

step-by-step explanation:

x = cost of tacos

y = cost of burritos

both equations:

3x + 2y = 5.40

2x + 1y = 3.10

             ^

turn this | into this |

                             v

               y = 3.10 - 2x

then add it to the equation :

3x + 2 [ 3.10 - 2x ] = 5.40

3x + 6.2 - 4x = 5.40

-1x = - 0.8

x= 0.80

then add x = 0.80 to the equations to get :

3 [ 0.80 ] + 2y = 5.40

2.4 + 2y = 5.40

2y = 3

y = 1.5

answer this qusten and ill mark u brainlyest 6+6 hhehehe

Answers

Answer:

6+6= 30 billion

Step-by-step explanation:

Answer:

6 + 6 = 66 or 12

Step-by-step explanation:

I'm not sure

Find the value of y.​

Answers

Answer:

11

Step-by-step explanation:

we know opposite angles are the same, so

8y-16=72

+16

8y=88

/8

y=11

I need help with this question 7.89 square root X12+65=

Answers

Answer:

79x 8.8881941732 approximately 54Thanks for the points A hope it helped alot

Answer:

79×8.88881941732 approximately 54.Tysm for points.~Anna Bella

A stadium has 55,000 seats. Seats sell for $42 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,738,800 from each sold-out event. How many seats does each section hold?

Answers

Answer:

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

Step-by-step explanation:

Section A = $42

Section B = $24

Section C = $18

Revenue = $1,738,800

Total number of seats = 55,000

The number of seats in Section A equals the total number of seats in Sections B and C

A = B + C

A + B + C = 55,000

42A + 24B + 18C = $1,738,800

Substitute A = B + C into the equations

B + C + B + C = 55,000

42(B + C) + 24B + 18C = $1,738,800

2B + 2C = 55,000

42B + 42C + 24B + 18C = 1,738,800

2B + 2C = 55,000

66B + 60C = 1,738,800

Multiply (1) by 30

60B + 60C = 1,650,000. (1)

66B + 60C = 1,738,800. (2)

Subtract (1) from (2)

66B - 60B = 1,738,800 - 1,650,000

6B = 88,800

B = 88,800/6

= 14,800

B = 14,800

Substitute the value of B into

2B + 2C = 55,000

2(14,800) + 2C = 55,000

29,600 + 2C = 55,000

2C = 55,000 - 29,600

2C = 25,400

C = 25,400/2

= 12,700

C = 12,700

Substitute the values of B and 6 into

A + B + C = 55,000

A + 14,800 + 12,700 = 55,000

A + 27,500 = 55,000

A = 55,000 - 27,500

= 27,500

A = 27,500

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

Answer:

Section A has 27,500 seats

Section B has 14,800‬ seats

Section C has 12,700‬ seats

Step-by-step explanation:

To solve this, we will have equations:

let x = seats at section A

  y= seats at section B

 Z = seats at section C

we will get the following equation:

So from the question, x = y + z ..........(1)

                     x + y + z = 55,000 .........(2)

                  42x + 24y + 18z = 1,738,800 .... (3)

input equation (1) into (2)

 y + z + y + z = 55,000

2y + 2z = 55,000...... (4)

so for exuation (3), input equation (1) into (3):

42x + 24y + 18z = 1,738,800

42(y + z) + 24y + 18z = 1,738,800

42y + 42z + 24y + 18z = 1,738,800

collect like terms:

66y + 60z = 1,738,800 ..... (5)

multiply equation (4) by -30. -30 is chosen to remove z from the equation so we could get what y is

-60y - 60z = - 1,650,000‬ ...... (6)

add equation (5) and (6)

6y + 0 = 88,800‬

y = 14,800‬ seats

Input the value of y into equation (4) to find z

2y + 2z = 55,000

2(14,800) + 2z = 55,000

29,600 + 2z = 55,000

2z = 25,400‬

z = 12,700‬ seats

To find the number of seats in section A we use equation (2)

x + y + z = 55,000

x +14,800 + 12,700 = 55,000

x + 27,500 = 55,000

x = 27,500 seats

To verify our answer to see if the number of seats in Section A equals the total number of seats in Sections B and C.

total number of seats in Sections B and C = 14,800 + 12,700 = 27,500

so number of seats in section A = B + C

which programming language was used in the first generation conputer
I:machine language
2:assembly language
3:high level language
3:natural language​

Answers

Answer:

machine language

Step-by-step explanation:

The computers in this generation used machine code as the programming language.

The machine language also referred to as the native language of the computer system is the first generation programming language. In the machine language, a programmer only deals with a binary number. They are translation free and can be directly executed by the computers.

Miles records the time it takes to download a variety of file types. How is the download time related to that file size? How can you show that two quantities have a proportional relationship?

Answers

Answer:

answer is 5 minutes

Step-by-step explanation:

Which of the following is the graph of y=sqrt x+1?

Answers

Answer:

B

Step-by-step explanation:

The graph for y= √x+1 is shown below.

What is the square root function?

The square root function f(x)=√x has domain [0,∞) with range  [0,∞).

Similarly the given function is y=f(x)= √x+1

From the graph, it is clear that the function is valid for x≥0 because x<0 √x will be imaginary.

So the domain of the function f(x)= √x+1 will be [0,∞).

As we know,

√x ≥0

⇒ √x+1≥0+1

⇒√x+1 ≥ 1

⇒f(x) ≥ 1

the function f(x) has range [1,∞).

f(x)=√x+1 ha y intercept at x=0

f(0)= √0+1=1

f(x) has y intercept at (0,1).

Function F(x) will increase from point (0,1).

Therefore The graph for y= √x+1 is shown below.

Learn more about square root function

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what is the answer to (-7)(2)(-2).

Answers

Answer:

28

Step-by-step explanation:

-2 × -7 = 14

14 × 2 = 28

thats the correct answer

Clara estimates that the product of 32 and 41 is about 1,200.

Answers

Answer: True

Reason:
It’s asking for ESTIMATION and PRODUCT for 32 and 41. First, you have to round all numbers to friendly. 32 can turn into 30. 41 can turn into 40. Multiply then and it gives you 1,200!

Hope this helps you!

How to solve Y=10+2(x-4)

Answers

y=10+2(x-4)

Use the distributive property to multiply 2 by x-4.y=10+2x-8

Subtract 8 from 10 to get

y=2+2x

Step-by-step explanation:

I think this is right good luck

plz plz plz plz plz plpz help mee

Answers

Answer:

175

Step-by-step explanation:

x / 7

100 (the mean goal)

100 + 65 + 120 + 150 + 90 + 0 + y = 700

100 + 65 + 120 + 150 + 90 + 0 + 175 = 700

700 / 7

100

The answer should be 175

Find the quotient
6 1/2 divided by 3 2/3

Answers

Answer:

Step-by-step explanation:

Free points ig

The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.

Here, we have,

given that,

6 1/2 divided by 3 2/3

Given the following mathematical expression;

6 1/2 /  3 2/3

We would apply the law of indices for fractions.

6 1/2 /  3 2/3

= 13/2 / 11/3

=13*3/ 2*11

=39/22

=1 17/22

Hence, The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.

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What is the square root of -36

Answers

Answer:6 i

Step-by-step explanation:

hope i help u have  a great day

Answer:

i don't think you can square root a negative number

Identify the segment bisector of MN. Then find MN.

Answers

Answer:

Segment bisector: JK

MN = 52

since the 26 is right on a little line, tick mark or wtv, im no sure if MN= 78 or 52 but i'd just put 52. Sorry if im

wrongStep-by-step explanation:

Segment bisector is the line in half

The segment bisector of MN is JK and the measure of MN is 52.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The only bisector of MN is JK and it is at the midpoint of the line segment MN so it will be a bisector.

Now,

Since JK is the bisector of MN

M(JK) = (JK)N

26 = (JK)N

So,

MN = 2(26) = 52

Hence "The segment bisector of MN is JK and the measure of MN is 52".

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Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben’s apple pies is ____.

3 over 4
4 over 3
3
4

Answers

4:3 so B


hope this helps !!

Answer:

i think 3:4 dont take my word for it thoughn

Step-by-step explanation:

In the relation f(x) = 2x - 15, what is the value of x if f(x) = 39
A. 27
B. 7
C. 12
D. 32

Answers

The answer is A. 27..
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